TW201007117A - Film thickness measuring device and film thickness measurement method - Google Patents
Film thickness measuring device and film thickness measurement method Download PDFInfo
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- TW201007117A TW201007117A TW098115660A TW98115660A TW201007117A TW 201007117 A TW201007117 A TW 201007117A TW 098115660 A TW098115660 A TW 098115660A TW 98115660 A TW98115660 A TW 98115660A TW 201007117 A TW201007117 A TW 201007117A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
- G01N21/17—Systems in which incident light is modified in accordance with the properties of the material investigated
- G01N21/59—Transmissivity
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B11/00—Measuring arrangements characterised by the use of optical techniques
- G01B11/02—Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness
- G01B11/06—Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness for measuring thickness ; e.g. of sheet material
- G01B11/0616—Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness for measuring thickness ; e.g. of sheet material of coating
- G01B11/0625—Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness for measuring thickness ; e.g. of sheet material of coating with measurement of absorption or reflection
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
- G01N21/17—Systems in which incident light is modified in accordance with the properties of the material investigated
- G01N21/55—Specular reflectivity
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- Length Measuring Devices By Optical Means (AREA)
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Abstract
Description
201007117 六、發明說明: 【發明所屬之技術領域】 本發明係有關於膜厚測定裝置及膜厚測定方法,特別 是有關於形成於基板上,具有複數層之待測物之膜厚測定 架構及方法。 【先前技術】201007117 VI. [Technical Field] The present invention relates to a film thickness measuring device and a film thickness measuring method, and more particularly to a film thickness measuring structure of a plurality of layers of a test object formed on a substrate method. [Prior Art]
近年來,為使互補金氧半導體(c〇mplementary metai oxide semiconductor,CMOS)電路等達到低耗電力及高速 化,使得絕緣層上覆矽(silic〇n 〇n insulat〇r,s〇i)之 基板結構倍受注目。該S0I基板,係於兩個矽(sU丨⑶^, si)基板間配置二氧化石夕(Si〇2)等絕緣層(Β〇χ層),使 得形成於其中一矽層之㈣接合面,與另一矽層(基板)間 所產生之寄生二極體(di〇de)及靜電容量等能夠被減少。 S知上,此一 S0I基板之製造方法係於矽晶圓 (silicon Wafer)之表面形成酸化膜,並黏貼其它矽晶圓 以將該酸化膜央於$ A I ^ ,, 处於之間,進一步,將形成電路元件之矽晶 圓研磨至既定厚度。 根據此一研磨工程,為了控制矽晶圓之厚度,需持續 監測模厚。於日本專利特開平G5_3嶋G號公報及特開平 05 308096號公報中,係揭露此一研磨工程之膜厚測定方 法,即利用傅立筆赫,, 案轉換紅外分光光度計(Fourier transform infrared spectroscoPy,FTIR)之方法。另外, 於日本專利特開_-㈣0號公報中,係揭露利用分散型 多頻道分光器測定反射頻譜“pea·)之方法。 201007117 除此之外’於日本專利特開平1〇_125634號公報中, 係揭露一種測定方法,將來自於紅外線光源之紅外線透過 研磨體照射於研磨對象物上,用以檢測其反射光。 進一步,於日本專利特開2〇〇2_22842〇號公報中,係 揭露將波| 〇· 9Um (微米)以上之紅外線朝矽薄膜表面照 射,然後以石夕薄膜表面反射光及石夕薄膜裡面反射光之干涉 結果為依據之矽薄膜膜厚測定方法。 進一步,於日本專利特開20034 141〇7號公報中係 揭露-種將紅外線作為衫光使肖之光干涉㈣厚測定裝 置。 然而’於日本專利特開平⑽-3G691G號公報及特開平 ^3〇_6號公報所揭露之膜厚敎方法中並無法測定 乍為基準之樣本的膜厚相對值,因而無法測定膜厚之絕對 定方沐^於日本專利特開2GG5 —1 9920號公報所揭露之項 ::中,係假設折射率不取決於波長而為 據自我迴歸模型(m〇de 折射率且古、“ &進仃周期推疋’然而’實際之In recent years, in order to achieve low power consumption and high speed in a complementary metal oxide semiconductor (CMOS) circuit, the insulating layer is covered with silicium (silic〇n 〇n insulat〇r, s〇i). The substrate structure is attracting attention. The SOI substrate is provided with an insulating layer (tantalum layer) such as SiO2 (Si〇2) between two 矽(sU丨(3)^, si) substrates, so that the (four) bonding surface formed in one of the 矽 layers The parasitic diode and the electrostatic capacitance generated between the other layer (substrate) and the like can be reduced. In the above, the method for manufacturing the SOI substrate is to form an acidified film on the surface of the silicon wafer and paste the other germanium wafer to make the acidified film between $AI^, in between, further The silicon wafer forming the circuit component is ground to a predetermined thickness. According to this grinding process, in order to control the thickness of the silicon wafer, the mold thickness needs to be continuously monitored. The method for measuring the film thickness of the polishing process is disclosed in Japanese Patent Application Laid-Open No. Hei. No. Hei. No. Hei. No. Hei. No. Hei. No. Hei No. 05-308096, which is a method for measuring the film thickness of the polishing process, that is, using Fourier's, the infrared-spectrum infrared spectrophotometer (Fourier transform infrared spectrophotometer) , FTIR) method. In addition, Japanese Laid-Open Patent Publication No. Hei. No. 0 discloses a method of measuring a reflection spectrum "pea·) by using a distributed multi-channel spectroscope. In the above, a method for measuring an infrared ray from an infrared ray source is irradiated onto a polishing object through a polishing object to detect the reflected light. Further, in Japanese Patent Laid-Open Publication No. 2-221-2842, it is disclosed. The method of measuring the film thickness of the ruthenium film is based on the interference of the infrared ray of 9 Um (micrometer) or more on the surface of the ruthenium film, and then the reflection of the light reflected from the surface of the shi shi film and the reflected light inside the shi shi film. Further, in Japan Patent Publication No. 20034 141〇7 discloses a method for measuring the interference of (X) thickness by using infrared rays as the light of the shirt. However, the Japanese Patent Laid-Open Publication No. (10)-3G691G and the Japanese Patent Publication No. 3-6_6 In the exposed film thickness method, the film thickness relative value of the sample based on yttrium cannot be determined, and thus the absolute thickness of the film thickness cannot be determined. In the item disclosed in GG5-1, 9920, it is assumed that the refractive index does not depend on the wavelength and is based on the self-regressive model (m〇de refractive index and ancient, "&
半,、有波長相依性,所 I 性之誤差。此外…該波長相你 露之測定方法:專利特開2°〇3]141°7號公報所損 方法亦具有同樣問題。 以 ⑴另外於日本專利特開2GG2-22842G號公報所据於 測定方法中,需於敎對象之Μ報所揭露之 非破之樣本上形成貫通部份,I法 非破壞之方式連續地測定膜厚。 …、居 發明内容】 201007117 為解決此一問題,本發明之目的,在於提供膜厚測定 裝置及膜厚測定方法,用以測定具有更高精確度之膜厚。 本發明之膜厚測定装置,包括光源、分光測定部份、 第一決定單元、轉換單元、解析單元及第二決定單元。光 源,將具有既定波長範圍之測定光,照射於將複數層形成 於基板上之待測物。待測物包括離光源最近之第一層及鄰 接於第-層之第二層。分光測定部份,根據待測物所反射 之光或穿透待測物之光,用以取得反射率或穿透率之波長 分佈特性。第-決定單元,利用模型式,對波長分佈特性 執行配適’用以至少決定第一層之膜厚,模型式具有待測 物中所包括之各層之膜厚。轉換單元,將波長分佈特性之 各波長及波長之反射率或穿透率之值的對應關係,轉換為 各波長相關之波數及根據既定關係式所算出之轉換值的對 應關係,用以產生法激·公欲LA μ 反數刀佈特性。解析單元,用以取得波 數分佈特性所包括之各波數成分之振幅值。第二決定單 疋,根據波數分佈特性所包括之振幅值中的大波數成分, 用以至少決定第—屉夕描度 層之膜厚。之後,選擇性地讓第一決定 單元及第二決定單元有效。 更好地,膜厚測定裝置更包括第三決定單元,將第二 :定單元所決定之第一層之媒厚之值,用來設定模型式, 對:長分佈特性執行配適,用以決定第二層之膜厚其 ,模型式具有待蜊物中所包括之各層之膜厚。 更好地,當第—洫它s _ 紅< 〇 决疋早兀之配適未在規定次數以内收 斂時,讓第二決定單元有效。 201007117 更好地’模型式包括用來表示折射率之波長相關函數。 更好地既定波長範圍包括紅外線光域之波長。 更好地,解析單元包括傅立葉轉換單元,用以對波數 分佈特性進行離散傅立葉轉換。 v更好地,解析單元利用最佳化之方法,用以取得波數 分佈特性所包括之各波數成分之振幅值/ 另-方面,本發明之膜厚測定方法,包括照射步驟, 參 2具有既疋波長範圍之測定光,照射於將複數層形成於基 扳上之待測物,待測物包括 卞幻物匕括離光源最近之第一層及鄰接於 —層之第二層。進-步’膜厚測定方法,包括:波長分 佈特性取得步驟,根據待測物所反射之光或穿透待測物之 光’用以取得反射率或穿透率之波長分佈特性;第一決定 步驟’利用模型式,對波長分佈特性執行配適,用以至少 決定第一層之膜厚,模型式具有待測物中所包括之各層之 =厚;產生步驟’將波長分佈特性之各波長及波長之反射 率或穿透率之值的對應關係’轉換為各波長相關之波數及 根據既定關係式所算出之轉換值的對應關係,用以產生波 數分佈特性;振幅值取得步驟,用以取得波數分佈特性所 :括之各波數成分之振幅值;第二決定步驟,根據波數分 —特性所包括之振幅值中的大波數成分,用以至少決定第 1之膜厚;及有效化步驟,用以選擇性地讓第一決定單 疋及第二決定單元有效。 根據本發明,能夠敎具有更高精確度之待測物膜厚。 為使本發明之上述目的、特徵和優點能更明顯易懂, 201007117 下文特舉一較佳實施例, 並配合所附圖式,作詳細說明如 下。 【實施方式】Half, with wavelength dependence, the error of the I. In addition, the method of measuring the wavelength is the same as the method of measuring the damage of the patent: 2°〇3]141°7. (1) In the measurement method according to the Japanese Patent Laid-Open Publication No. 2GG2-22842G, it is necessary to form a through portion on the non-broken sample exposed by the 敎 object, and the film is continuously measured in a non-destructive manner by the I method. thick. SUMMARY OF THE INVENTION In order to solve this problem, an object of the present invention is to provide a film thickness measuring device and a film thickness measuring method for measuring a film thickness having higher accuracy. The film thickness measuring device of the present invention includes a light source, a spectrometry portion, a first determining unit, a converting unit, an analyzing unit, and a second determining unit. The light source irradiates the measurement light having a predetermined wavelength range to the object to be tested which forms a plurality of layers on the substrate. The object to be tested includes a first layer closest to the light source and a second layer adjacent to the first layer. The spectrometry portion is used to obtain the wavelength distribution characteristic of the reflectance or the transmittance according to the light reflected by the object to be tested or the light penetrating the object to be tested. The first-determining means performs the adaptation of the wavelength distribution characteristic by the model formula to determine at least the film thickness of the first layer, and the model has the film thickness of each layer included in the object to be tested. The conversion unit converts the correspondence between the values of the reflectance or the transmittance of each wavelength and wavelength of the wavelength distribution characteristic into a correspondence relationship between the wave number of each wavelength and the converted value calculated according to the predetermined relational expression, and is used to generate The law of arrogance and publicity LA μ inverse knife cloth characteristics. The analyzing unit is configured to obtain an amplitude value of each wavenumber component included in the wave number distribution characteristic. The second decision unit 用以 is used to determine at least the film thickness of the first drawer layer according to the large wave number component of the amplitude value included in the wave number distribution characteristic. Thereafter, the first decision unit and the second decision unit are selectively made valid. Preferably, the film thickness measuring device further comprises a third determining unit, wherein the value of the media thickness of the first layer determined by the second determining unit is used to set a model, and the long-distribution characteristic is adapted to be used for The film thickness of the second layer is determined, and the model has a film thickness of each layer included in the to-be-contained material. Preferably, the second decision unit is valid when the first - 洫 s _ red < 疋 疋 疋 兀 兀 未 未 未 未 未 未 未 。 第二 第二 第二 第二 第二 第二201007117 Better' model includes a wavelength correlation function used to represent the refractive index. More preferably, the predetermined wavelength range includes the wavelength of the infrared light domain. More preferably, the parsing unit comprises a Fourier transform unit for performing discrete Fourier transform on the wavenumber distribution characteristics. Preferably, the analysing unit utilizes an optimization method for obtaining an amplitude value of the wavenumber component included in the wave number distribution characteristic/the other aspect, the film thickness measuring method of the present invention, including the illuminating step, reference 2 The measuring light having the wavelength range of the gamma is irradiated to the object to be tested formed on the base plate, and the object to be tested includes the illusion object including the first layer closest to the light source and the second layer adjacent to the layer. The method for measuring the film thickness of the step-step includes: a wavelength distribution characteristic obtaining step of obtaining a wavelength distribution characteristic of the reflectance or the transmittance according to the light reflected by the object to be tested or the light penetrating the object to be tested; The determining step 'utilizes the model to perform the adaptation of the wavelength distribution characteristic to determine at least the film thickness of the first layer, the model has the thickness of each layer included in the object to be tested; and the generating step 'each of the wavelength distribution characteristics Correspondence between the values of the reflectance or the transmittance of the wavelength and the wavelength 'converted to the correspondence between the wave number of each wavelength and the converted value calculated according to the predetermined relationship, for generating the wave number distribution characteristic; the amplitude value obtaining step For obtaining the wave number distribution characteristic: the amplitude value of each wavenumber component; the second determining step is for determining at least the first film according to the large wave number component of the amplitude value included in the wave number-characteristic Thick; and an activation step for selectively making the first decision unit and the second decision unit valid. According to the present invention, it is possible to have a film thickness of a test object having higher accuracy. The above described objects, features and advantages of the present invention will become more apparent from the following description. [Embodiment]
號表示之’並省略重複之說明。 《裝置架構》The symbol indicates 'and the repeated description is omitted. Device Architecture
第1圖係顯示依據本發明實施例之膜厚測定裝置100 联序測疋裝置1〇〇,對於單層或積層結構 通常可用以測定其各層之膜厚。本實施例 之膜厚測定裝置100特別適用於具有較厚大層(通常為2叫 ΙΟΟΟμπι)待測物之膜厚測定。 具體地,臈厚測定裝置1 〇〇為顯微分光式之測定裝 置,將光線照射於待測物上,根據待測物所反射之反射光 •波長分佈特性(以下亦稱為『頻譜(spectrum)』),可 用以測定構成待測物各層之膜厚。再者,不限於膜厚測定, 亦可用於各層(絕對及相對)反射率之測定及層結構之解 析。進一步,亦可利用穿透待測物之光線的頻譜(穿透光 之頻譜),用以代替反射光之頻譜。 於說明書中’係說明作為待測物之基板單體或基板, 於其上形成一個以上之層之情況。於一實施例中,待測物 為具有像疋珍(Si)基板、玻璃基板、及藍寶石(sapph i r e ) 基板等較厚基板單體,及SOI基板這樣的積層結構之基 7 201007117 板。特別地,本實施例之膜厚測定裝置1 00適合用以測定 切削研磨後之矽基板膜厚、S01基板之矽層(活性層)膜 厚、以化學機械研磨(chemical mechanical polishing, CMP)處裡之矽基板膜厚等。 參考第1圖’膜厚測定裝置1 0 0包括測定用光源1 0、 聚焦透鏡(col 1 i mating lens ) 12、濾光鏡(cutting f i Iter ) 1 4、成像透鏡16及36、光圈18、分光鏡(b e am spl itter ) 20及30、觀察用光源22、光纖24、射出部份26、針孔反 射鏡(pinhole mirror) 32、轴轉換反射鏡34、觀察用攝 影機(camera) 38、顯示部份39、及資料處理部份7〇。 為取得待測物之反射率頻譜,測定用光源1 〇係為用以 產生具有既定波長範圍測定光之光源,特別是具有紅外線 光域中波長成分(舉例來講,900nm (奈米)〜i6〇〇nm、或 者1470nm〜160〇nm)之光源。通常會用_素燈泡(Hal〇gen lamp )來作為測定用光源丨〇。 聚焦透鏡12、濾光鏡14、成像透鏡16及光圈18,係 被配置於用以連結測定用光源1 〇及分光鏡3〇之光軸 上,用以光學性地調整從測定用光源1〇所射出之測定光。 具體地,聚焦透鏡12係為測定用光源丨〇之測定光一 開始入射之光學,並使作為擴散光線傳播之測定光折射轉 換為平行光。通過聚焦透鏡丨2之測定光入射至濾光鏡i 4。 濾光鏡14用以遮斷測定光中不需要之波長成分。濾光鏡 14通常由沉積於玻璃基板等之多層膜所形成。為調整測定 光之光束(beam )直徑’成像透鏡丨6將通過濾光鏡1 *之 201007117 Μ =光從平仃光線轉換為會聚光線。通過成像透鏡1 6之測 定光入射至光圈18。光圈18將測定光之光量調整為既定 量用以射出至分光鏡3〇。更好地,係根據成像透鏡16 ㈣換之衫光成像位置來配置光圈18。再者,適當地設 定光圈18之杏„ ^ $ ’用以對應於入射至待測物之測定光景 冰及必要之光強度等。 面觀*察用光源22為產生觀察光之光源,用以 所」物進仃對焦及確認測定位置。且選擇觀察用光源22 用’使其包含待測物可能反射之波長。觀察 谓99、2 ^由光纖24連接於射出部份26,使得觀察用光 你 生之觀察光’經由作為光波導之光纖24傳播後, 從射出部份26朝分光鏡2〇射出。 22所產Μ 26包括遮罩部份心,用以遮罩觀察用光源 待:部份銳察光’使既定之觀察基準影像投射於 般鼻。對表面沒有任何圖案(pattern)形成之待測物(一 =明之玻璃基板等)而言,該觀察基準影像也易於進 飽再者,可使用任何形狀之倍縮光罩(reticle), 像疋㈣使用同心圓形及十字形之圖案等。 中,直㈣力觀察用光源22所產生觀察光之光束斷面 背’26逆t (光量)約為一致’而-部份觀察光被遮罩 ;光二二(遮蔽)^,會使得觀察光於其光束斷面上 形成先強度約為零之區域(与 觀察基準影像投射於待測物Γ域)。該陰影區域作為 載物臺50為放置待測物之樣本臺’且其放置面為平 9 201007117 坦。舉例而言,該載物臺5〇為機械性連結之可動機構5卜 可沿著三個方向(X方向、γ方向及z方向)自由地被驅動。 可動機構51 ϋ常由三軸伺服馬達及用以驅動各飼服馬達 之伺服驅動器所構成。進一步,可動機構51由使用者或未 圖示之控制裝置等加以驅動’用以回應於載物臺位置之指 令。根據該載物臺50之驅動,用以改變待測物及後述接物 鏡40間之位置關係。 接物鏡40、分光鏡3〇及針孔反射鏡32,係被配置於 沿著載物臺50平坦面垂直方向延伸之光軸Αχι上。 參 分光鏡30反射測定用光源1〇所產生之測定光用以 將其傳播方向轉換為朝著光軸AX1之紙面下方。此外,分 光鏡30讓朝著光軸AX1之紙面上方傳播之待測物反射光穿 透0Fig. 1 is a view showing a film thickness measuring device 100 according to an embodiment of the present invention, which is generally used for measuring the film thickness of each layer for a single layer or a laminated structure. The film thickness measuring apparatus 100 of this embodiment is particularly suitable for film thickness measurement of a test object having a relatively large thickness (usually 2 ΙΟΟΟμπι). Specifically, the thickness measuring device 1 is a micro-spectroscopic measuring device that irradiates light onto the object to be tested, and reflects light reflected by the object to be tested. Wavelength distribution characteristics (hereinafter also referred to as "spectrum" ))), which can be used to determine the film thickness of each layer constituting the object to be tested. Further, it is not limited to the measurement of the film thickness, and can be used for the measurement of the reflectance of each layer (absolute and relative) and the analysis of the layer structure. Further, the spectrum of the light that penetrates the object to be tested (the spectrum of the transmitted light) may be used instead of the spectrum of the reflected light. In the specification, a case is described in which a substrate or a substrate as a substrate to be tested is formed with one or more layers. In one embodiment, the object to be tested is a substrate having a laminate structure such as a thick substrate substrate such as a Si (Si) substrate, a glass substrate, and a sapphire substrate, and an SOI substrate 7 201007117. In particular, the film thickness measuring apparatus 100 of the present embodiment is suitable for measuring the thickness of the germanium substrate after the cutting and polishing, the thickness of the germanium layer (active layer) of the S01 substrate, and the chemical mechanical polishing (CMP). The thickness of the substrate is the thickness of the substrate. Referring to Fig. 1, the film thickness measuring device 100 includes a measuring light source 10, a condensing lens (col 1 i mating lens) 12, a filter (cutting fi Iter) 14, an imaging lens 16 and 36, and an aperture 18, Beam splitter 20 and 30, observation light source 22, optical fiber 24, injection portion 26, pinhole mirror 32, axis conversion mirror 34, observation camera 38, display Part 39, and data processing part 7〇. In order to obtain the reflectance spectrum of the test object, the light source 1 is used as a light source for generating light having a predetermined wavelength range, and particularly has a wavelength component in the infrared light field (for example, 900 nm (nano) to i6) A light source of 〇〇nm, or 1470 nm to 160 〇 nm). A hologram lamp (Hal〇gen lamp) is usually used as a light source for measurement. The focus lens 12, the filter 14, the imaging lens 16, and the diaphragm 18 are disposed on the optical axis for connecting the measurement light source 1 and the beam splitter 3 to optically adjust the light source from the measurement unit. The measured light that is emitted. Specifically, the focus lens 12 is an optical light at which the measurement light of the measurement light source is initially incident, and the measurement light that propagates as the diffusion light is refracted into parallel light. The measurement light passing through the focus lens 丨 2 is incident on the filter i 4 . The filter 14 is for blocking unwanted wavelength components in the measurement light. The filter 14 is usually formed of a multilayer film deposited on a glass substrate or the like. In order to adjust the beam diameter of the measuring light, the imaging lens 丨6 will pass through the filter 1* 201007117 Μ = light is converted from flat light to concentrated light. The light that has passed through the imaging lens 16 is incident on the aperture 18. The aperture 18 adjusts the amount of light of the measurement light to a predetermined amount for emission to the beam splitter 3〇. More preferably, the aperture 18 is configured in accordance with the imaging lens 16 (four) for the position of the illuminating image. Furthermore, the apricot „ ^ $ ' of the aperture 18 is appropriately set to correspond to the measurement glazing incident on the object to be tested and the necessary light intensity, etc. The surface light source 22 is a light source for generating observation light for The object is focused and the measurement position is confirmed. And the observation light source 22 is selected to include a wavelength at which the object to be detected may be reflected. It is observed that 99, 2^ is connected to the emitting portion 26 by the optical fiber 24, so that the observation light of the observation light propagates through the optical fiber 24 as the optical waveguide, and is emitted from the emitting portion 26 toward the spectroscope 2. 22 Μ 26 includes a part of the heart of the mask to cover the light source for observation. Partially observing the light 'projects the predetermined reference image onto the nose. For the object to be tested (such as a glass substrate, etc.) formed without any pattern on the surface, the observation reference image is also easy to be filled, and any shape of the reticle can be used, like 疋(4) Use concentric circles and cross-shaped patterns. In the middle, the direct (four) force observation light beam 22 produces the observation beam of the light beam back '26 reverse t (light quantity) is approximately the same 'and part of the observation light is masked; the light two (shadow) ^, will make observation The light forms a region with a first intensity of about zero on the beam profile (projected with the observation reference image in the region of the object to be tested). The shaded area is used as the stage of the sample stage on which the object to be tested is placed, and its placement surface is flat 9 201007117. For example, the movable mechanism 5 in which the stage 5 is mechanically coupled can be freely driven in three directions (X direction, γ direction, and z direction). The movable mechanism 51 is usually composed of a three-axis servo motor and a servo driver for driving each of the feeding motors. Further, the movable mechanism 51 is driven by a user or a control device (not shown) or the like to respond to the position of the stage. According to the driving of the stage 50, the positional relationship between the object to be tested and the objective lens 40 to be described later is changed. The objective lens 40, the beam splitter 3'', and the pinhole mirror 32 are disposed on the optical axis 延伸ι extending in the direction perpendicular to the flat surface of the stage 50. The reference light generated by the reference light source 30 reflects the measurement light for converting the propagation direction to the lower side of the paper surface toward the optical axis AX1. Further, the beam splitter 30 allows the reflected light of the object to be detected which propagates over the plane of the optical axis AX1 to penetrate through the light.
另一方面,分光鏡20將觀察用光源22所產生之觀察 光加以反射,使其傳播方向轉換為朝著光軸Αχ2之紙面右 方。也就是說,分光鏡30具光注入部份之功能,從測定用 光源10到集光光學系統之接物鏡4〇的光學路徑上,用以 將觀察光注入既定位置。於該分光鏡2〇所合成之測定光及 觀察光,由分光鏡30反射後,入射至接物鏡 特別地,由於測定光具有紅外線光域之波長成分,且 觀察光具有可見光光域之波長成分,因此,從可見光光域 到紅外線光域,分光鏡20及30均能夠維持其透過/反射 特性之目標值。 接物鏡40為集光光學系統,用以將朝著光轴aX1之紙 10 201007117 面下方傳播之測定光及觀察光進行集光。意即,接物鏡 會聚载光及觀察光,用以成像於待測物或其鄰近位置 上。此外’接物鏡40為具有既定倍率(例如1〇倍、2〇倍、 倍、4〇倍等)之放大透鏡。因此,相較於人射至接物鏡 40之光束斷面’此一放大透鏡能夠使測定光光學特性之測 定區域達到微小化。 除此之外,通過接物鏡40而入射至待測物之測定光及On the other hand, the dichroic mirror 20 reflects the observation light generated by the observation light source 22, and converts the propagation direction to the right of the paper surface toward the optical axis Αχ2. That is, the beam splitter 30 has a function of a light injection portion for injecting observation light into a predetermined position from the optical source 10 for measurement to the optical path of the objective lens 4 of the light collecting optical system. The measurement light and the observation light synthesized by the spectroscope 2 are reflected by the spectroscope 30 and then incident on the objective lens. In particular, since the measurement light has a wavelength component of the infrared light region, and the observation light has a wavelength component of the visible light region. Therefore, from the visible light to the infrared light, the beamsplitters 20 and 30 are capable of maintaining the target value of the transmission/reflection characteristics. The objective lens 40 is a collecting optical system for collecting the measurement light and the observation light propagating below the plane of the paper 10 201007117 of the optical axis aX1. That is, the objective lens collects the light and the observation light for imaging on the object to be tested or its adjacent position. Further, the objective lens 40 is a magnifying lens having a predetermined magnification (for example, 1 〇, 2 〇, 倍, 4 〇, etc.). Therefore, this magnifying lens enables the measurement area of the optical characteristics of the measuring light to be miniaturized as compared with the beam section of the human lens that is incident on the objective lens 40. In addition, the measurement light incident on the object to be tested by the objective lens 40 and
觀察光,經過待測物之反射,朝著光軸Αχι之紙面上方傳 播。該反射光穿透接物鏡4〇後,接著穿透分光鏡3〇到達 針孔反射鏡32。 針孔反射鏡32具光分離部份之功能,從待測物所產生 之反射光中,分離出測定反射光及觀察反射光。具體而言, 針孔反射鏡32包含反射面,用以反射來自於待測物,且朝 著光轴AX1之紙面上方傳播之反射光,並於該反射面及光 轴AX1之交點中心形成孔隙部份(針孔)32a。與測定用光 •源10之測定光經待測物反射後所產生之測定反射光,於針 孔反射鏡32位置上之光束直徑相較之下,所形成之該針孔 32a之直徑變得較小。另外,該針孔反射鏡犯係被配置, 用以使測定光及觀察光’分別與經待測物反射所產生之測 定反射光及觀察反射光之成像位置一致。此一架構丁,待 測物所產生之反射光’將通過針孔32a入射至分光測定部 份60。另一方面’轉換剩餘反射光之傳播方向,使其入射 至軸轉換反射鏡34。 分光測定部份60,係用以測定通過針孔反射鏡32之 11 201007117 測定反射光的反射座# 4 ^ ,3曰,並將測定結果輸出至資料處理 部份70。更詳細认 (.ία 、 为光測定部份6〇包括繞射光栅 :er (grating)62、檢測部份遽域66及快門(sh咖 68 〇 濾光鏡6 6、快門R Q η ,, 8及繞射光栅62係被配置於光轴αχ 1 上。濾光鏡66為光學、清 ^ 学慮先鏡針對通過針孔32a入射至分 光測定部份60之測佘G„ 疋反射光,用以限制其所含之測定範圍 外的波長成刀’特別是用以遮斷測定範圍外的波長成分。 ❿ 於重置(reSet)檢測部份64時等情況下,快門68用以遮 斷入射至檢測部份64夕本砼 M ^ 之光線。快門68通常由電磁力驅動 之機械式快門組成。 繞射光柵62將人射之測定反射光進行分光,然後將各 刀光波導往檢測部❽64。具體而言,繞射光栅Μ為反射 型繞射光栅’以既定之波長間隔,將每—繞射波反射至對 應方向於具有此架構之繞射光栅62中,當測定反射波入 射時’將其所含之各波長成分反射至對應丨向,然、後入射 至檢測部份64之既定檢測區域中。再者,該波長間隔相當 於分光測定部份60之波長解析度。繞射光柵62通常由淺 焦(flat focus)型之球面光柵(grating)組成。 於繞射光栅62所分光之測定反射光中,對應於各波長 成分之光強度的電子訊號,係由檢測部份64輸出,用以測 定待測物之反射率頻譜。檢測部份64由具有紅外線光域感 光度之砷化銦鎵(indium gaiiium arsenide,InGaAs)陣 列組成。 12 201007117 資料處理料70對檢測部份β4所取得 進行本發明相關之特徵性程序, 射率頻譜 之膜厚。再者,資料處理部份 々成相物各層 之反射率及層構造。進一:關 〇::用以解析待測物各層 下。之後,7()%ί^ 料料細說明如 光學特性。 7G輪^彳定待測物膜厚為首之 另一方面,針孔反射鏡32所反射之觀察反射光沿著光 轴AX1傳播,之後入射$缸絲4&r_ 香尤The observation light is transmitted through the reflection of the object to be tested, and is transmitted above the optical axis. The reflected light passes through the objective lens 4 and then passes through the beam splitter 3 to reach the pinhole mirror 32. The pinhole mirror 32 has a function of a light separating portion, and separates the measured reflected light and the observed reflected light from the reflected light generated by the object to be tested. Specifically, the pinhole mirror 32 includes a reflecting surface for reflecting the reflected light from the object to be tested and propagating above the plane of the optical axis AX1, and forming a hole at the center of the intersection of the reflecting surface and the optical axis AX1. Part (pinhole) 32a. The measured reflected light generated by the measurement light of the measuring light source 10 is reflected by the object to be tested, and the diameter of the pinhole 32a formed at the position of the pinhole mirror 32 becomes smaller. Smaller. Further, the pinhole mirror is arranged to match the measurement light and the observation light to the imaging positions of the measured reflected light and the observed reflected light which are generated by the reflection of the object to be detected. In this configuration, the reflected light generated by the object to be tested is incident on the spectrometry portion 60 through the pinhole 32a. On the other hand, the direction of propagation of the residual reflected light is converted to be incident on the axis conversion mirror 34. The spectrometry portion 60 is for measuring the reflection seat #4^, 3曰 of the reflected light by the pinhole mirror 32, 201007117, and outputs the measurement result to the data processing portion 70. More detailed (.ία, for the light measurement part 6〇 including diffraction grating: er (grating) 62, detection part of the field 66 and shutter (sh coffee 68 〇 filter 66, shutter RQ η, 8, And the diffraction grating 62 is disposed on the optical axis αχ 1. The filter 66 is an optical, optically-preserving mirror for detecting the 佘G„ 疋 reflected light incident on the spectroscopic measuring portion 60 through the pinhole 32a. The wavelength is formed by limiting the wavelength outside the measurement range contained therein. In particular, it is used to block the wavelength component outside the measurement range. 快门 When the detection portion 64 is reset (reset), the shutter 68 is used to block the incident. The light is detected by a mechanical shutter that is driven by an electromagnetic force. The diffraction grating 62 splits the measured reflected light of the human beam, and then transmits the optical waveguides to the detecting portion 64. Specifically, the diffraction grating Μ is a reflective diffraction grating' that reflects each of the diffraction waves to a corresponding direction in the diffraction grating 62 having the structure at a predetermined wavelength interval, when the reflected wave is incident. Reflecting the wavelength components contained in the corresponding wavelengths, and then incident on them Further, the wavelength interval corresponds to the wavelength resolution of the spectrometry portion 60. The diffraction grating 62 is usually composed of a flat focus type spherical grating. In the measured reflected light of the diffraction grating 62, an electronic signal corresponding to the light intensity of each wavelength component is outputted by the detecting portion 64 for measuring the reflectance spectrum of the object to be tested. The detecting portion 64 is made of infrared rays. The indium gamium arsenide (InGaAs) array is composed of an optical field sensitivity. 12 201007117 The data processing material 70 obtains the characteristic procedure related to the present invention for the detection portion β4, and the film thickness of the luminosity spectrum. The data processing part is the reflectivity and layer structure of each layer of the phase. In addition: Guan:: to analyze the underlying layers of the object to be tested. After that, 7 ()% ί^ material details such as optical characteristics. 7G wheel ^ On the other hand, the film thickness of the object to be tested is first, and the reflected light reflected by the pinhole mirror 32 propagates along the optical axis AX1, and then enters the cylinder wire 4 & r_
傻射至轴轉換反射鏡34。觀察反射光之 傳播從光軸AX3轉換至朵站AY/1 ,, 至先軸AX4。如此一來,觀察反射光 著光轴AX4傳播,然、後人射至觀察用攝影機。 觀察用攝影機38為取像部份,用以由觀察反射光取得 反射衫像’通常由雷共j 人 观㊉田電何耦合兀件(charged_c〇Upled device,CCD)及互補金氧半㈣(c〇mpiementary .Μ oxide SemiC0nduct0r’ CM〇s)感測器(sens〇r)組成。再 者,觀察用攝影機38通常具有可見光光域感光度,且多數 清況下其感光度特性係相異於具有既定測定範圍感光度 之檢測部份64 °接著,觀察用攝影機38自觀察反射光取 付之反射影像後’將對應之視頻信號輸出至顯示部份39。 顯不部份39根據觀察用攝影機38之視頻信號,將反射影 像顯示於畫面上。使用者看到顯示於顯示部份39之反射影 像後’進行待測物之對焦及測定位置之確認。顯示部份39 通常由液晶顯示器(丨iquid crystal display,[CD)組成。 再者’亦可設置取景器(f inder),讓使用者能夠直接看 到反射影像’用以代替觀察用攝影機38及顯示部份39。 13 201007117 《反射光之解析性檢查》 首先’針對測定光照射至待測物之情況下,對所觀測 到之反射光進行數學性及物理性之檢查。 第2圖係顯示作為本發明實施例之膜厚測定裝置1()〇 之測定對象的待測物〇Bj剖面圖。 參考第2圖,係以SOI基板作為待測物〇BJ之代表例。 也就是說,待測物〇Bj配置有三層構造:矽(si )層1、 基板(base)石夕層3 (基板層)、及兩者中間之二氧化矽 (Si〇2)層2 ( BOX層)。進一步,將膜厚測定裝置1〇〇之〇 照射光從紙面上方入射至待測物〇BJ。換言之,測定光一 開始入射至Si層1。 為了容易理解’接著考慮入射至待測物OBJ之測定 光,經由Si層1及Si 〇2層2之界面反射後所產生之反射 光。於以下之說明中,利用ί來表示各層。意即,以『0』 表不空氣及真空等大氣層、以r丨』表示待測物〇BJ之SiSilly to the axis conversion mirror 34. Observe that the reflected light propagates from the optical axis AX3 to the station AY/1, to the first axis AX4. In this way, the reflected light is reflected by the optical axis AX4, and the latter is shot to the observation camera. The observation camera 38 is used as an image capturing portion for obtaining a reflection shirt image by observing the reflected light. Usually, the charged_c〇Upled device (CCD) and the complementary gold-oxygen half (four) are C〇mpiementary .Μ oxide SemiC0nduct0r' CM〇s) sensor (sens〇r). Further, the observation camera 38 generally has a visible light range sensitivity, and in many cases, the sensitivity characteristics are different from the detection portion having a sensitivity of a predetermined measurement range of 64 °. Then, the observation camera 38 self-observes the reflected light. After the reflected image is taken, the corresponding video signal is output to the display portion 39. The display portion 39 displays the reflected image on the screen based on the video signal of the observation camera 38. When the user sees the reflected image displayed on the display portion 39, the focus of the object to be tested and the position of the measurement are confirmed. The display portion 39 is usually composed of a liquid crystal display ([i. Furthermore, a viewfinder (f inder) can be provided so that the user can directly see the reflected image' instead of the observation camera 38 and the display portion 39. 13 201007117 "Analytical examination of reflected light" First, when the measurement light is irradiated onto the object to be tested, the observed and reflected light is examined mathematically and physically. Fig. 2 is a cross-sectional view showing the object to be tested 〇Bj which is a measurement target of the film thickness measuring apparatus 1() of the embodiment of the present invention. Referring to Fig. 2, an SOI substrate is taken as a representative example of the object to be tested 〇BJ. That is to say, the object to be tested 〇Bj is configured with a three-layer structure: a bismuth (si) layer 1, a base (base) layer 3 (substrate layer), and a cerium oxide (Si 〇 2) layer 2 in between ( BOX layer). Further, the film thickness measuring device 1 is irradiated with light from the upper side of the paper to the object to be tested 〇BJ. In other words, the measurement light is initially incident on the Si layer 1. For the sake of easy understanding, the reflected light generated by the reflection of the interface between the Si layer 1 and the Si 〇 2 layer 2 is considered next to the measurement light incident on the object OBJ. In the following description, each layer is represented by ί. That is, "0" is used to indicate the atmosphere such as air and vacuum, and the object to be tested 丨BJ is represented by r丨
層1及以『2』表示其Si〇2層2。除此之外,各層之折射率, 係利用i來表示,即折射率η·。 由於具有不同折射率⑴之各層界面會產生光之反射, 因此’於折射率不同之第i層及第i + 1層間的每一界面中 能夠將P偏光成分及S偏光成分之振幅反射率 係數)及,%+1表示如下:Layer 1 and "2" indicate its Si〇2 layer 2. In addition to this, the refractive index of each layer is expressed by i, that is, the refractive index η·. Since the reflection of light is generated at the interface of each layer having different refractive indices (1), the amplitude reflectance coefficient of the P-polarized component and the S-polarized component can be selected in each interface between the ith layer and the i+1th layer having different refractive indices. And, %+1 means as follows:
Frensnel 14 201007117 r(P) — ”/+1 气C_“丄 nf+\ cos^. -\-n. cos^.+j r(S) _ cos^.-«/+1 cos^ i,i+l n. cos^. +«z-+| cos^ ill /+1 於此,為·表示第i層之入射角。根據下述之Snell法則, 可由最上層大氣層(第〇層)之入射角計算該入射角办:Frensnel 14 201007117 r(P) — ”/+1 gas C_“丄nf+\ cos^. -\-n. cos^.+jr(S) _ cos^.-«/+1 cos^ i,i+l n. cos^. +«z-+| cos^ ill /+1 Here, it represents the incident angle of the i-th layer. According to the Snell rule described below, the incident angle can be calculated from the incident angle of the uppermost atmosphere (the second layer):
A^〇 sin = Nj sin φι 具有光干涉之膜厚層内,以上式所示之反射率來反射 之光將於層内多次往返。為此,鄰接層界面直接反射之光 與層内多重反射後之光,由於兩者之間的光路徑長度不 同,使得彼此相位不同,並於81層i之表面產生光干涉。 為了表不各層内此一光干涉效果,可將第i層層内的光相 位角爲·表示如下:A^〇 sin = Nj sin φι In the film thickness layer with light interference, the light reflected by the reflectance shown by the above formula will travel back and forth multiple times in the layer. For this reason, the light directly reflected by the interface of the adjacent layer and the light after multiple reflections in the layer are different in phase from each other due to the different optical path lengths between the two layers, and light interference occurs on the surface of the 81-layer i. In order to show the effect of this light interference in each layer, the optical phase angle in the i-th layer can be expressed as follows:
叫f) rij cos^· 於此,4表示第i層之膜厚,而Λ表示入射光之波長。 為了更單純化’當將光垂直地照射於待測物〇BJ時, 即入射角為·=0之情況下,p偏光及s偏光間沒有區別,而 各層間界面之振幅反射率及薄膜相位角灼如下所示: n〇+n\Let f) rij cos^· Here, 4 denotes the film thickness of the i-th layer, and Λ denotes the wavelength of the incident light. In order to be more simplistic, when the light is irradiated perpendicularly to the object to be tested 〇BJ, that is, when the incident angle is =0, there is no difference between the p-polarized light and the s-polarized light, and the amplitude reflectance and film phase of the interface between the layers are not different. The angle burn is as follows: n〇+n\
15 201007117 β\=2π η\ 、 ν ^ y 進 一步’於第2圖所示之三層系統中, 將待測物OBJ之反射率及表示如下:15 201007117 β\=2π η\ , ν ^ y Further in the three-layer system shown in Fig. 2, the reflectivity of the object to be tested OBJ is expressed as follows:
? 一 4 ^ + 2yDF12 CQS2A 1 + r0 fl 2+2Ό 於上式中,關於相位角A之頻率轉換(傅立葉轉換),相 位=子(Phase factor) 〇〇82两對反射率及而言為非線性。❹ 接著,將該相位因子C0S2两轉換為線性函數。於一實施例 中,係將反射率及以下式轉換,並定義為獨立之變數『波 數轉換反射率』及,: R': { R T^R2 2 r01+r12 Ό1? 4 ^ + 2yDF12 CQS2A 1 + r0 fl 2+2 于 In the above equation, for the phase angle A frequency conversion (Fourier transform), phase = (Phase factor) 〇〇 82 two pairs of reflectivity and non- Linear. ❹ Next, the phase factor C0S2 is converted into a linear function. In one embodiment, the reflectance and the following equation are converted and defined as independent variables "wavenumber converted reflectivity" and,: R': { R T^R2 2 r01+r12 Ό1
Ra +Rfj cos2 12y 2m\ 丁Ra +Rfj cos2 12y 2m\ Ding
V 2mni^ΐϊ1-rl22 cos 2^iV 2mni^ΐϊ1-rl22 cos 2^i
d\d\
装 dj 2^?7J ^干’ 一^~表示光(電磁波)於物質中,即層内,傳播時 之波數 AT (propagation number)。 該波數轉換反射率i?’為相位因子cos2约之一次式,所 以為線性。於此,式中之表示波數轉換反射率疋之切 片’而办表示波數轉換反射率/?,之傾角。換句話說,針對 16 201007117 與頻率轉換相關之相位因子C0S2功,該波數轉換反射率π, 係為用以將各波長中反射率及之值加以線性化之函數。再 者,亦可使用函數1/(1-,來作為相位因子線性化之函數。 因此,可以將Si層1内之波數[^定義如下: κλΑ 丄乂 於此,當Si層1内之波長;L光速度為S,且真空中之 籲波長又光速度為c時,將折射率表示為叼=:e/χ。除此之外,Install dj 2^?7J ^dry' A ^~ indicates the light (electromagnetic wave) in the material, that is, the wave number AT (propagation number) in the layer. The wave number conversion reflectance i?' is a linear expression of the phase factor cos2, so it is linear. Here, in the equation, the wave number conversion reflectance 疋 is shown as a slice, and the wave number conversion reflectance /?, the inclination angle is expressed. In other words, for 16 201007117 phase factor C0S2 work related to frequency conversion, the wave number conversion reflectance π is a function for linearizing the reflectance and the value of each wavelength. Furthermore, the function 1/(1-, can also be used as a function of the linearization of the phase factor. Therefore, the wave number in the Si layer 1 can be defined as follows: κλΑ is here, when the Si layer 1 is Wavelength; when the L light velocity is S, and the wavelength in the vacuum and the light velocity are c, the refractive index is expressed as 叼=:e/χ.
利用波數尺1、角頻率ω及相位5,可將S i層i内沿著X 方向行進之光所產生之電磁波五“ 〇表示為 五M=E〇exp[攸-印+小換言之,Si層1内電磁波之 傳播特性取決於波數欠丨。透過這些關係,可知於真空中具 有波長;I之光,由於其光速度於層内下降,波長亦會從又變 長至;1/«丨。考慮此一波長分散現象,可將波數轉換反射率及, 定義如下: • 及’ ([1) = 4 + /¾ cos 2[河 藉由此關係,當波數轉換反射率W進行與波數尺相關 之頻率轉換(傅立葉轉換)時,根據膜厚*所對應之周期 成分中出現之波峰(peak ),用以指定該波峰之位置,從 而能夠算出膜厚ή。 換句話說,將待測物OBJ所測定之反射率頻譜與各竣 長反射率的對應關係,轉換為各波長所算出之波數與利用 上述關係式所算出之波數轉換反射率γ的對應關係後,將 包含波數尺之波數轉換反射率兄函數進行與波數尺相關之 17 201007117 頻率轉換’之後’根據該頻率轉換後之特性中所出現之波 峰’便能夠算出構成待測物OBJ之Si層1之膜厚。這是 因為取得波數分佈特性所包含之各波數成分的振幅值然 後根據其振幅值之大波數成分,用以算出^層1之膜厚。 再者,如下所述,能夠利用快速傅立葉轉換(fast Fourier transform,FFT)等離散傅立葉轉換之方法,或者利用最 大熵法(maximum entropy method,以下亦稱為『MEM』) 等最佳化之方法,用以從波數分佈特性中解析振幅值之大 波數成分。 φ 於波數轉換反射率兄之定義中,/^及办,係為無關 層内干涉現象之值,不過,卻取決於各層間之界面中,包 含Si層1之折射率„丨的振幅反射率。為此,當折射率叼具 有波長分散之情況下,其值為取決於波長(意即波數尤) 之函數值,因此,與波數X相關,無法為定值。於是,以〕 表不傅立葉轉換,將尺、〜、办及咖2尤河,以波數尺進 行傅立葉轉換後’將作為函數之功率頻譜(卿打 spectrum)各自設為p、Pa、匕及F,則下式成立: 罾 其中表示摺積(convolution)。 式中,取決於?8膜厚之成分相對地較小,且功率頻譜 F具有獨立之波峰,因此不會對功率頻譜?造成影響。 另一方面,因為式中之Pb與功率頻譜F進行摺積,因 此,Pb之膜厚成分,係將調變加入功率頻譜F之膜厚成分 中。然而,Pb與層内干涉現象無關,因為只受鄰接兩層中 18 201007117 折射率之波長依存性影響,對於一 分,相較於功率頻譜k膜厚成八K“〜膜厚成 盛㈣雄ρ曰'之膜厚成分,能夠忽略的程度較小。 …將6作為膜厚q的周期函數,透過指積,其傅 立葉轉換後之Pb將調變加入功率頻譜f之膜厚成分中,、因 此,頻譜所顯示之波峰將為『h』_『d+Q』,且由於q 值非常小,對波峰位置d的影響很小。 步,進行傅立葉轉換時,如下所述,係考慮測定 ♦象層之最大膜厚,根據Nyquist取樣定理,對於波數轉 換反射率&,以適當的取樣間隔及取樣數進行取樣。基於 此方式所取樣之波數轉換反射率#,相對於所算出的功率 頻谱之媒厚解析度r,Pb之膜厚成分Η能更小(Or), 因此’可以說幾乎不會對膜厚以敎結果造成影響。 以此方式,將算出的反射率頻譜’轉換至與波數相關 之函數’其考慮到薄膜之波長分散,然、後,再進行傅立葉 轉換,進而能夠正確算出薄膜之膜厚。 再者’於上述之說明中,係利用反射率頻譜來說明, 但亦可利用穿透率頻譜。於此情況下,以Γ表示所測定之 穿透率’卩Γ表示『波數轉換穿透率』,並將關係式表示 如下: Γ:Using the wave scale 1, the angular frequency ω, and the phase 5, the electromagnetic wave generated by the light traveling along the X direction in the Si layer i can be expressed as five M=E〇exp[攸-印+小, in other words, The propagation characteristics of electromagnetic waves in the Si layer 1 depend on the wave number. Through these relationships, it is known that there is a wavelength in the vacuum; the light of I, because of its light velocity falling within the layer, the wavelength will also become longer; «丨. Considering this wavelength dispersion phenomenon, the wavenumber conversion reflectivity can be defined as follows: • and ' ([1) = 4 + /3⁄4 cos 2 [the river by this relationship, when the wave number conversion reflectance W When the frequency conversion (Fourier transform) related to the wave scale is performed, the peak of the period component corresponding to the film thickness* is used to specify the position of the peak, and the film thickness ή can be calculated. After the correspondence between the reflectance spectrum measured by the object to be tested OBJ and the reflectance of each of the long wavelengths is converted into a correspondence relationship between the wave number calculated by each wavelength and the wave number conversion reflectance γ calculated by the above relational expression, The wave function of the wavenumber conversion reflectance containing the wave scale is performed A few feet related to the 17 201007117 frequency conversion 'after 'based on the peak appearing in the characteristics after the frequency conversion' can calculate the film thickness of the Si layer 1 constituting the object OBJ. This is because the wave number distribution characteristics are included. The amplitude value of each wavenumber component is then used to calculate the film thickness of the layer 1 based on the large wavenumber component of the amplitude value. Further, as described below, discrete Fourier transform such as fast Fourier transform (FFT) can be used. The method of conversion, or the optimization method using the maximum entropy method (hereinafter also referred to as "MEM"), is used to analyze the large wavenumber component of the amplitude value from the wave number distribution characteristic. φ in wave number conversion In the definition of the reflectance brother, /^ and the operation are the values of the interference phenomenon in the unrelated layer, but it depends on the amplitude reflectance of the refractive index „丨 of the Si layer 1 in the interface between the layers. For this reason, when the refractive index 波长 has a wavelength dispersion, the value is a function value depending on the wavelength (that is, the wave number is particularly), and therefore, it is related to the wave number X and cannot be a constant value. Therefore, in order to represent the Fourier transform, the ruler, the ~, the office and the coffee 2 Youhe, after Fourier transform with a wavenumber, 'will be used as a function of the power spectrum (Qing strike spectrum) are set to p, Pa, 匕 and F, then the following formula holds: 罾 which represents the convolution. In the formula, depends on? The composition of the 8 film thickness is relatively small, and the power spectrum F has independent peaks, so it does not affect the power spectrum? Make an impact. On the other hand, since Pb in the equation is decomposed with the power spectrum F, the film thickness component of Pb is modulated into the film thickness component of the power spectrum F. However, Pb has nothing to do with the intra-layer interference phenomenon, because it is only affected by the wavelength dependence of the refractive index of 18 201007117 in the adjacent two layers. For one point, compared with the power spectrum, the film thickness is eight K" ~ film thickness into the (four) male The film thickness component of ρ曰' can be neglected to a lesser extent. ... 6 is used as a periodic function of the film thickness q, and the Pb is converted into a film thickness component of the power spectrum f by the finger product. Therefore, the peak displayed by the spectrum will be “h”_“d+Q”, and since the q value is very small, the influence on the peak position d is small. Step, when performing the Fourier transform, as described below, consider the measurement. The maximum film thickness of the image layer is sampled according to the Nyquist sampling theorem for the wave number conversion reflectance &, with appropriate sampling interval and number of samples. The wave number converted reflectance # sampled based on this method is calculated relative to the calculated The thickness spectrum of the power spectrum is r, and the film thickness of Pb is smaller (Or), so it can be said that the film thickness is hardly affected by the film thickness. In this way, the calculated reflectance spectrum is ' Conversion to a wave number related letter 'It takes into account the wavelength dispersion of the film, and then performs Fourier transform to further calculate the film thickness of the film. In addition, in the above description, the reflectance spectrum is used, but the penetration can also be utilized. Rate spectrum. In this case, the measured penetration rate '卩Γ indicates 'wavenumber conversion transmittance', and the relationship is expressed as follows: Γ:
TT
Ta+TbQ〇s2Kd\ 即使利用穿透率頻譜,穿透率Γ對相位因子cos2A而言 亦為非線性。為此,同上述之理由,採用與相位因子cos2灼 相關,且為線性之波數轉換穿透率了、依據上式,波數轉 19 201007117 換穿透率T’為相位因子cos2灼之一次式,利用與上述相同之 方式,便能夠正確算出薄膜之膜厚。意即,對於與頻率轉 換相關之相位因子cos2^而言,該波數轉換穿透率Γ,係為 用以將各波長之穿透率值加以線性化之函數。 再次參考第2圖,係考慮經由Si〇2層2及基板(base ) 矽層3間之界面反射後,所產生之反射光。以π表示Si層 1之折射率、4表示膜厚、《2表示Si 〇2層2之折射率及句表 示膜厚時,可將波數轉換反射率及’表示如下: R'=Ra +RfyC〇s2K\di +Rccos2K2d2 + R^ cos2(K\d\ +^2^2)+^ cos2(K\d\ -^2^2) 其中, Κλ _ 2πη\ 尤1= 丁Ta+TbQ〇s2Kd\ Even with the penetration spectrum, the transmittance Γ is also nonlinear for the phase factor cos2A. For this reason, for the above reasons, it is related to the phase factor cos2, and it is a linear wave number conversion transmittance. According to the above formula, the wave number is changed to 19 201007117. The transmissivity T' is the phase factor cos2. In the same manner as described above, the film thickness of the film can be accurately calculated. That is, for the phase factor cos2^ associated with the frequency conversion, the wavenumber conversion transmittance Γ is a function for linearizing the transmittance values of the respective wavelengths. Referring again to Fig. 2, the reflected light generated by the interface between the Si 〇 2 layer 2 and the substrate 矽 layer 3 is considered. When π represents the refractive index of Si layer 1, 4 represents the film thickness, "2 represents the refractive index of Si 〇 2 layer 2, and the sentence represents the film thickness, the wave number conversion reflectance and ' can be expressed as follows: R' = Ra + RfyC〇s2K\di +Rccos2K2d2 + R^ cos2(K\d\ +^2^2)+^ cos2(K\d\ -^2^2) where Κλ _ 2πη\ 尤1=丁
Kr, _ 1πη2 Κ2= 了 於此,係使用分別以波數尤1及尺2加以轉換過之波數 轉換反射率及l(Xl)及及2(火2), 用以分離並算出Si層1之 φ 膜厚4及Si〇2層2之膜厚办。具體地,如下所示: R\(Ki) = Ra +Rjj cos2K\d\ +RC cos2K\d2 + Rd cos 2K\ {^d\ +d2^j + Re cos 2K\ R2(K2)- Rq +^b c〇s2i^2^1 +^c cos + cos2K2^1 +d2^j + Re cos_j 20 201007117 其令,4 = ^Ldl «2 d2=^~d2 於這些式_,儘管,d管及‘並非為正確之膜厚, 不過,波數轉換反射率巧’⑹之第2項所對應之功率頻譜 中;可由波峰求得原本之膜厚4,且波數轉換反射率Kr, _ 1πη2 Κ2= Here, the wavenumber conversion reflectance and l(Xl) and 2 (fire 2) converted by the wave number, especially 1 and 2, respectively, are used to separate and calculate the Si layer. 1 φ film thickness 4 and Si 〇 2 layer 2 film thickness. Specifically, it is as follows: R\(Ki) = Ra +Rjj cos2K\d\ +RC cos2K\d2 + Rd cos 2K\ {^d\ +d2^j + Re cos 2K\ R2(K2)- Rq + ^bc〇s2i^2^1 +^c cos + cos2K2^1 +d2^j + Re cos_j 20 201007117 Its order, 4 = ^Ldl «2 d2=^~d2 in these formulas _, though, d tube and ' It is not the correct film thickness, but the wavenumber conversion reflectance is in the power spectrum corresponding to the second term of (6); the original film thickness can be obtained from the peak, and the wave number conversion reflectance
及2㈣之第3項所對應之功率頻譜巾,可由波峰求得原本 之膜厚d2。 再者’實際上’ Si|丨及咖層2之折射率近似,多 數情況下’兩者界面之反射率’相較於其它界面之反射率, 相對地會較小。其結果是’相較於波數轉換反射率之函數 所包含之办及之值較小,因此报多情況下,亦難 以從功率頻譜中,確認波數轉換反射率3項所 對應之波峰。於此情況下’先算出波數轉換反射率砧⑹ 之第4項所對,應之功率頻譜的波峰位置+^,以及波數 ^反射率&(&)之第2項所對應之功率頻譜的波峰位置 |/ij’之後,再取得兩者之差,便能夠算出膜厚 《關於波長範圍及波長解析度》 來測定SOI基板後之測定結果示意圖。再者,"圖所厂、 之測定例中’於第3(a)圖之情況下,測定光之波長範圍: 9〇〇nm〜麗⑽’而第3⑻圖之情況下,波長範圍為1340nm 〜⑽―。進-步’對應於測定波長,係選擇具有適當特 性之繞射㈣62’使得反射光人射至檢測部份^後,檢 21 201007117 測部份6 4之檢測υ; γ ·... 、” (point)數(檢測頻道數) 如⑴個頻道)。換句話說,波長範圍愈 點數之波長間隔(亦即,波長解析度)愈小。母檢測 根據前述之解析性檢查’所測定之反射率波 長,應有周期性變化。 皮 於第3⑷圖所示之測定結果中,儘管可以看到反射率 ^於波長具有周期性變化,但無法得料分精確之膜厚 —就此而吕’於第咖圖所示之測定結果中,清楚地顯⑩ 不出反射率之波锋(peak)及波谷(vaUey),亦可測定 反射率之變化周期。第3(c)圖,係將第3(b)圖所示之測定 果(反射率頻4) ’轉換為上述波數轉換反射率及,之函 數後,用以顯示與波數尤相關之頻率轉換結果。如第3圖 所示’係能夠將主波峰對應之值作為^層^膜厚。 進一步’第4圖及第5圖係顯示s〇I基板之其 結果。 第4圖係顯示利用本發明實施例之膜厚測定裝置1。。❹ 來測定SOI基板後之另-測定結果示意圖。於第4圖之測 定例中’ Si層1之膜厚為1〇· 〇⑽(設計值),si〇2層2之 瞑厚為0.3叫(設計值)。進一步,於第4(a)圖中,係顯 :利用具有可見光光域( 330nm〜;n00nm)波長成分之測定 光,而於第4(b)圖中,係顯示利用具有紅外線光域(9〇〇nm 160 Onm )波長成分之測定光。再者,如上所述,檢測部 伤6 4 (第1圖)之檢測點數(檢測頻道數)均相同。 22 201007117 如第4(a)圖所示,當利用具有可見光光域波長成分之 測定光時,在大於86〇nm之波長區域中,顯示出反射率之 周期性變動,但於較短之可見光光域中,可知並不會產生 明顯的周期變化。相對地,如第4(b)圖所示,利用具有紅 外線光域波長成分之測定光時,可知會出現明顯的反射率 周期變化。 第5圖係顯示利用本發明實施例之膜厚測定裝置ι〇〇 來測定S(H基板後之另一測定結果示意圖。於第5圖之測 定例中’Si !之膜厚為8〇〇μιη(設計值),抓層2之 膜厚為〇._(設計值)。進一步’於第5(a)圖中,係顯 示利用具有紅外線光域( 900nm〜16〇〇nm)波長成分之測定 光’而於第5(b)圖中’係顯示利用具有更窄之紅外線光域 (147〇nm〜160〇nffl)波長成分之測定光。再者如上所述, 檢測部份64(第1圖)之檢測點數(檢測頻道數)均相同。 如第5(a)圖所示,即使利用具有紅外線光域波長成分 之測定光,所測定之反射率亦無出現明顯的周期變化。相 對地’如第5⑻圖所示,當利用具有更窄之紅外線光域波 長成分之測定光時’可知會出現明顯的反射率周期變化。 根據以上之測定例,為了以高精確度測定較厚層之膜 厚,需適當地設定測定光之波長範圍及波長解析度。因為 這是利用層内光干涉對象的-種敎方法,且檢測部份64 對於反射光之波長解析度有限,根據以下說明之方法,能 夠設定更適當的測定光波長。 於以下之檢查中,檢測部份64之波長檢測下限值為 23 201007117 ^in,且檢測部份^ j = 物64之波長檢測上限值為。 測定用光源1 〇 (第彳固、_ Α 圖)所照射之測定光波長範圍,若自 含檢測部份64之油且认w_ 心夜長檢測範圍的話,則任何範圍皆可。 進一步,檢測部份4 rπ、 (第1圖)之檢測點數(檢測頻道數) 為 6/7。 第6圖為一示咅® m 丁意圖,用以說明依據本發明實施例之臈 厚測定範圍及檢測部份64之檢測波長範圍,以及與檢測點 數之關係。 ❹ ()琪厚則足範圍之下限值與檢測波長範圍之 關係。 根據上述之膜厚測定方法,因為需要找出作為對象之 待測物内產生光干涉之波長,檢測部份64需具有能產生光 干涉之波長範圍。也就是說,如第6(a)圖所示,於檢測部 份64之檢測波長範圍中,待測物所被測定之反射率波形需 有一周期以上之變化。 這是因為檢測部份64之檢測波長範圍從下限值@ 變化至上限值,意味著所產生之光學距離之變化需足 以進行待測物之膜厚往返。 因此,膜厚測定範圍之下限值c/min與測定光之波長範 圍之關係需滿足以下之條件式(1 ): >__j:min .又max_ …(1 ) 2(Anax ·%ιίη —Ληίη .«max ) 其中’ wmin表示波長之折射率,而《max表示波長 &nax之折射率。 24 201007117 )膜厚測定範圍之上限值與檢測點數 點數之關係。And the power spectrum towel corresponding to the third item of (4), the original film thickness d2 can be obtained from the peak. Furthermore, the refractive indices of 'actually' Si|丨 and the coffee layer 2 are similar, and in most cases, the reflectance at the interface between the two is relatively small compared to the reflectance at other interfaces. As a result, the value contained in the function of the wavenumber conversion reflectance is small. Therefore, in many cases, it is difficult to confirm the peak corresponding to the three values of the wave number conversion reflectance from the power spectrum. In this case, the first item of the wavenumber conversion reflectance anvil (6) is calculated first, and the peak position of the power spectrum is +^, and the second item of the wave number^reflectance &&(&) After the peak position |/ij' of the power spectrum is obtained, the difference between the two is obtained, and the measurement result of the film thickness "with respect to the wavelength range and the wavelength resolution" to measure the SOI substrate can be calculated. Furthermore, in the case of the measurement example of the factory, in the case of the third (a) diagram, the wavelength range of the light is measured: 9 〇〇 nm to 丽 (10)', and in the case of the third (8) diagram, the wavelength range is 1340nm ~ (10) ―. The step-step corresponds to the measurement wavelength, and the diffraction (4) 62' having the appropriate characteristics is selected so that the reflected light is incident on the detection portion ^, and the detection of the portion 6 4 is detected in 21 201007117; γ ·... ," (point) number (number of detected channels) such as (1) channel). In other words, the smaller the wavelength interval of the wavelength range (that is, the wavelength resolution), the smaller the mother detection is based on the aforementioned analytical test ' The wavelength of the reflectance should be periodically changed. In the measurement results shown in Figure 3(4), although the reflectance can be seen to have a periodic variation in wavelength, it is impossible to obtain an accurate film thickness—in this case In the measurement results shown in the figure, it is clear that the peak of the reflectance and the valley (vaUey) are not shown, and the period of change of the reflectance can also be measured. Figure 3(c), The measured result (reflectance frequency 4) shown in Fig. 3(b) is converted to the function of the above-mentioned wavenumber conversion reflectance and is used to display the frequency conversion result particularly related to the wave number. As shown in Fig. 3. 'The system can use the value corresponding to the main peak as the layer thickness. Further' Fig. 4 and Fig. 5 show the results of the s〇I substrate. Fig. 4 is a view showing the film thickness measuring apparatus 1 according to the embodiment of the present invention. ❹ The measurement result of the SOI substrate is measured. In the measurement example of Fig. 4, the film thickness of Si layer 1 is 1〇·〇(10) (design value), and the thickness of layer 2 of layer 2 is 0.3 (design value). Further, in figure 4(a) The measurement shows that the measurement light having a wavelength component of the visible light region (330 nm to n00 nm) is used, and in the fourth (b) diagram, the measurement is performed using a wavelength component having an infrared light region (9 〇〇 nm 160 Onm). Further, as described above, the number of detection points (the number of detection channels) of the detection portion injury 6 4 (Fig. 1) is the same. 22 201007117 As shown in Fig. 4(a), when the wavelength of the visible light region is utilized In the case of measuring light of a component, a periodic variation of the reflectance is exhibited in a wavelength region of more than 86 〇 nm, but in a short visible light region, it is known that a significant periodic change does not occur. As shown in Fig. 4(b), when the measurement light having the wavelength component of the infrared light region is used, it is known that there is a significant inverse Fig. 5 is a view showing another measurement result of S (H substrate) by using the film thickness measuring device ι of the embodiment of the present invention. The film thickness of 'Si! in the measurement example of Fig. 5 8 〇〇 μιη (design value), the film thickness of the scratch layer 2 is 〇._ (design value). Further 'in the 5th (a) figure, the display shows the use of infrared light field (900nm~16〇〇nm) The measurement light of the wavelength component is shown in the figure 5(b), and the measurement light having a wavelength component having a narrower infrared light field (147 〇 nm to 160 〇 nffl) is used. The number of detection points (number of detection channels) of the 64 (Fig. 1) are the same. As shown in Fig. 5(a), even when the measurement light having the wavelength component of the infrared light region is used, the measured reflectance does not show a significant periodic change. As shown in Fig. 5(8), when the measurement light having a narrower infrared wavelength region is used, it is known that a significant change in the periodicity of the reflectance occurs. According to the above measurement examples, in order to measure the film thickness of the thick layer with high accuracy, it is necessary to appropriately set the wavelength range and wavelength resolution of the measurement light. Since this is a method of utilizing the interference of the light in the layer, and the wavelength resolution of the reflected portion of the detecting portion 64 is limited, a more appropriate wavelength of the measuring light can be set according to the method described below. In the following inspection, the lower limit of the wavelength detection of the detecting portion 64 is 23 201007117 ^in, and the detection portion ^ j = the upper limit of the wavelength detection of the object 64. The wavelength range of the measurement light to be irradiated by the light source 1 彳 (the first solid, _ Α diagram) can be any range if the oil of the detection portion 64 is included and the detection range of the heart length is recognized. Further, the number of detection points (the number of detection channels) of the detection portion 4 rπ and (Fig. 1) is 6/7. Fig. 6 is a view showing the measurement range of the thickness and the detection wavelength range of the detecting portion 64 according to the embodiment of the present invention, and the relationship with the number of detection points. ❹ () Qi thick is the relationship between the lower limit of the range and the detection wavelength range. According to the film thickness measuring method described above, since it is necessary to find the wavelength of the light interference generated in the object to be tested as the object, the detecting portion 64 is required to have a wavelength range capable of generating light interference. That is, as shown in Fig. 6(a), in the detection wavelength range of the detecting portion 64, the reflectance waveform to be measured of the object to be tested needs to have a change of more than one cycle. This is because the detection wavelength range of the detecting portion 64 is changed from the lower limit value @ to the upper limit value, which means that the change in the optical distance generated is sufficient to carry out the film thickness of the object to be tested. Therefore, the relationship between the lower limit c/min of the film thickness measurement range and the wavelength range of the measurement light needs to satisfy the following conditional expression (1): >__j:min. and max_ ...(1) 2(Anax ·%ιίη - Ληίη .«max ) where 'wmin denotes the refractive index of the wavelength, and 'max denotes the refractive index of the wavelength & nax. 24 201007117 ) The relationship between the upper limit of the film thickness measurement range and the number of detection points.
之各陣列元件的配置間隔愈大。 之座標。此時,針對波長,係將InGaAs等各陣列元件以等The arrangement interval of each array element is larger. The coordinates. At this time, for the wavelength, each array element such as InGaAs is waited for
間隔方式配置,如jl卜—A , ^ I 如此來,S波數愈小,可知波數所對應 φ 因此,為對應於波數,且以既定周期變化之反射率波 形能正確地被取樣,各陣列元件的配置間隔(波長解析度 △又)需滿足Nyquist取樣定理,藉由滿足該取樣定理,用 以決定膜厚測定範圍之上限值。 檢測部份64之波長解析度ΔΑ,利用檢測點數(檢測 頻道數)Sp,可以表示為ΔΑ 。 由於測定光之波長愈長時,反射率波形之周期就愈 短’因此’於反射率波形中,當測定光上限值之極值 ❶(峰值(Peak )或谷值(val ley ))產生時,與該極值鄰 接的極值所產生之波長表示為;^,與膜厚測定範圍之上限 值dmax間需滿足以下之條件: 2(Anax . ”1 ~ A · 於此,當測定對象層之膜厚較大時,可假設η·3χ与ηι, 因此,將上述之條件表示為以下之條件式(2):Interval configuration, such as jl Bu - A, ^ I So, the smaller the S wave number, the φ corresponding to the wave number. Therefore, the reflectance waveform corresponding to the wave number and changing with a predetermined period can be correctly sampled. The arrangement interval (wavelength resolution Δ) of each array element needs to satisfy the Nyquist sampling theorem, and the sampling upper theorem is satisfied to determine the upper limit of the film thickness measurement range. The wavelength resolution ΔΑ of the detection portion 64 can be expressed as ΔΑ by the number of detection points (the number of detected channels) Sp. Since the longer the wavelength of the measurement light is, the shorter the period of the reflectance waveform is. Therefore, in the reflectance waveform, when the extreme value ❶ (Peak or valley) of the upper limit value of the light is measured, The wavelength generated by the extreme value adjacent to the extreme value is expressed as: ^, and the following condition is satisfied between the upper limit value dmax of the film thickness measurement range: 2 (Anax . "1 ~ A · Here, when measuring When the film thickness of the target layer is large, η·3χ and ηι can be assumed, and therefore, the above condition is expressed as the following conditional expression (2):
-λ\) 25 ...(2) 201007117 此時,波長解析度ΔΑ需滿足以下之條件: ΔΛ = ^111^—< - λ\ SP '~2 將上限值dmax之關係式代入上述波長解析度之關 係式中,消去;ll後,可以表示為以下之條件式(3): Αλ = ——m^n < 一乂^iax _ SP 2(乂max + 2 . wmax . dmax ) ...(3) 以上為檢查之結果,若欲事先決定待測物所要求之膜_ 厚測定範圍(下限值i/min〜上限值),為了滿足上述 之條件式(1 )及(2 ),必須決定測定光之波長範圍(下 限值Ληώ〜上限值Ληβχ)及檢測點數5^。 《計算例》 於第2圖所示之S0I基板中,當測定Si層i之膜厚時, 係將相關必要條件之計算說明如下。 於此計算例中,SOI基板之Si層1之上限值^狀為_ 1〇〇μΠ1 ’且折射率為定值(n = 3. 5)而不取決於波長。再者, 於此计算例中,不考慮,S01基板之Si層1之下限值c?min。 將上述設定值分別代入前述之條件式(2 )及(3 ), 則可算出上限值^ax =1424. Onm,而波長解析度 ΔΑ_1· 445375nm。因此,當具有512個頻道之檢測部份64 被用來對最大膜厚為1 ΟΟμπι之待測物進行膜厚測定時,若 所使用之測定光涵蓋大約684〜1424⑽之波長範圍,則可 26 201007117 由檢測部份64檢測該範圍之反射光(波長解析声 △义= 1.4453125nm)。 & 其中,根據上述條件式所算出之波長解析度Δ;ι,用以 說明理論上之最低限度之規格’於實際進行測定時,相‘ 於所算出之波長解析度△乂’最好能提高其精確度。再者 最好為數倍之程度(例如2〜4倍)。再者,提高精確戶, 意指將波長解析度ΔΑ之值設定為更小。 X, 也就是說,於實際之膜厚測定裝置中,受到待測物之 測定光入射角的影響,以及使用透鏡集光系統時開口角之 影響等,都會造成頻譜精確度降低。於此情況下功率頰 譜上的波峰高度變小,而變得難以算出膜厚。再者,以有 之取樣值,利用FFT等方式進行離散頻率轉換之情況 下,受到失真(aliasing)的影響,亦會使波數轉換時所 產生之轉換誤差變大。進一步’待測物之折射率分散亦會 因測定光之波長範圍而@烈變&,或彳能無法滿足部份條 件0 、 第7圖係顯示利用具有接近理論值之波長解析度之膜 厚測定裝置’其測定結果之模擬結果示意圖。帛8圖係顯 不利用具有波長解析度,且其精確度高於理論值兩倍之膜 厚測疋裝置,其測定結果之模擬結果示意圖。再者,作為 對象之待測物膜厚為1 ΟΟμιη。 更具體地,於第7(a)圖中,係顯示由具有512個頻道 之檢測部份64對9〇〇nm〜16〇〇nm範圍之反射率頻譜(波長 解析度ΔΛ=2.734375ηιη)進行測定之結果,而於第八…圖 2Ί 201007117 中’係顯示將第7(a)圖所示之反射率頻譜進行頻率轉換(於 此為FFT轉換)後之功率頻譜。如第7(b)圖所示,於此情 況下,雖說1 ΟΟμιη附近有波峰存在,但相較於薄膜側之雜 訊(鬼影)’其位準較小,因而亦難以決定膜厚。 鲁 另一方面,於第8(a)圖中,係顯示決定波長範圍之情 況下,檢測部份64之波長解析度之精確度成為理論值兩倍 後之測定結果,而於第8(b)圖中,係顯示將第8U)圖所示 之反射率頻譜進行頻率轉換(於此為FFT轉換)後之功率 頻譜。於此實施例中,係決定檢測點數及波長範圍,用以 使檢測部份64之波長解析度ΔΑ成為1 367l875nm。如第 8⑻圖所示,於此情況下,原本之膜厚刚叫附近出現極 強之波峰’ t味著能夠正確地測定待測物之膜厚。 《膜厚异出程序之概述》 ^所述,根據反射率_之周期性,能夠算出待測 膜厚。換言之,將所檢測到之反射率 換,用以取得功率嘀碰疋叮领早轉 ❹ 丰頻4,透過功率頻譜中所出現之波峰, 便能夠算出膜厚。督 實際上,此一功率頻譜係利 散傅立葉轉換方式 』用m等離 得“、“田 侍…'而’亦會有無法利用FFT來取 77 、^期性之功率頻譜的情況。為此,本f w t 膜厚測定裝置l〇n , 本實施例之 除了利用FFT等離散傅立葉轉換外, 亦可執行麵等最佳化之方法 、轉換 方法。也就是$,士 ^作為功率頻譜之算出 所檢測到之反❹實施例之膜厚料裝* _,對應於 換及最佳化之方法頻譜,選擇性地或合併地執行傅立葉轉 再者,闕於職程序之細節,係詳述 28 201007117 於由南茂夫(Minami Shigeo )編著之『用於科學測量之 波形資料處理測量系統之微電腦/個人電腦活用技 術』’第10版’ 1992年8月1日發行,Cq出版社,在 此提供作為參考。-λ\) 25 ...(2) 201007117 At this time, the wavelength resolution ΔΑ needs to satisfy the following conditions: ΔΛ = ^111^—< - λ\ SP '~2 Substituting the relationship of the upper limit value dmax into the above In the relational expression of wavelength resolution, after elimination, ll can be expressed as the following conditional expression (3): Αλ = ——m^n < 乂^iax _ SP 2(乂max + 2 . wmax . dmax ) (3) The above is the result of the inspection. If the film thickness measurement range (lower limit i/min to upper limit value) required for the test object is to be determined in advance, in order to satisfy the above conditional expression (1) and (2) It is necessary to determine the wavelength range of the measurement light (lower limit value Ληώ~upper limit value Ληβχ) and the number of detection points 5^. <<Calculation Example>> When the film thickness of the Si layer i is measured in the SOI substrate shown in Fig. 2, the calculation of the necessary conditions will be described below. In this calculation example, the upper limit of the Si layer 1 of the SOI substrate is _ 1 〇〇 μ Π 1 ' and the refractive index is constant (n = 3. 5) without depending on the wavelength. Furthermore, in this calculation example, the lower limit c?min of the Si layer 1 of the S01 substrate is not considered. By substituting the above-mentioned set values into the above conditional expressions (2) and (3), the upper limit value ^ax = 1424. Onm can be calculated, and the wavelength resolution ΔΑ_1· 445375 nm can be calculated. Therefore, when the detection portion 64 having 512 channels is used to measure the film thickness of the object to be tested having a maximum film thickness of 1 ΟΟμπι, if the measurement light used covers a wavelength range of about 684 to 1424 (10), then 26 201007117 The reflected light of the range is detected by the detecting portion 64 (wavelength analysis sound △ = 1.4453125 nm). & wherein the wavelength resolution Δ; ι calculated according to the above conditional expression is used to explain the theoretical minimum specification 'when actually measuring, the phase is preferably at the calculated wavelength resolution Δ乂' Improve its accuracy. Furthermore, it is preferably several times (for example, 2 to 4 times). Furthermore, increasing the accuracy of the household means setting the value of the wavelength resolution ΔΑ to be smaller. X, that is, in the actual film thickness measuring device, the influence of the incident angle of the light to be measured by the object to be measured, and the influence of the opening angle when using the lens collecting system, etc., cause the spectral accuracy to be lowered. In this case, the peak height on the power buccal spectrum becomes small, and it becomes difficult to calculate the film thickness. Further, when the discrete frequency conversion is performed by using the FFT or the like with the sampled value, the influence of the aliasing is also affected, and the conversion error generated during the wave number conversion is also increased. Further, the refractive index dispersion of the test object will also be due to the wavelength range of the measured light, @烈变&, or 彳 can not meet some of the conditions. 0, Figure 7 shows the use of a film having a wavelength resolution close to the theoretical value. A schematic diagram of the simulation results of the thickness measurement device. Fig. 8 shows a schematic diagram of the simulation results of the measurement results without using a film thickness measuring device having a wavelength resolution higher than the theoretical value. Further, the film thickness of the object to be tested as the object is 1 ΟΟ μιη. More specifically, in the 7th (a) diagram, the reflectance spectrum (wavelength resolution ΔΛ=2.734375ηιη) in the range of 9〇〇nm to 16〇〇nm is detected by the detection portion 64 having 512 channels. The result of the measurement, and in the eighth...Fig. 2Ί 201007117, the power spectrum after frequency conversion of the reflectance spectrum shown in Fig. 7(a) (here, FFT conversion) is shown. As shown in Fig. 7(b), in this case, although there is a peak near 1 ΟΟμιη, the level of the noise is smaller than that of the film side (ghost). On the other hand, in the 8th (a) diagram, the measurement result of the wavelength range is determined, and the accuracy of the wavelength resolution of the detection portion 64 becomes twice the theoretical value, and the result is 8th (b). In the figure, the power spectrum after frequency conversion of the reflectance spectrum shown in Fig. 8U) (here, FFT conversion) is shown. In this embodiment, the number of detection points and the wavelength range are determined so that the wavelength resolution ΔΑ of the detecting portion 64 becomes 1 367 875 nm. As shown in Fig. 8(8), in this case, a very strong peak appears in the vicinity of the original film thickness, and the film thickness of the test object can be accurately measured. "Overview of the film thickness difference procedure" ^, according to the periodicity of the reflectance _, the film thickness to be measured can be calculated. In other words, the detected reflectance is changed to obtain the power bump, the early turn ❹, the rich frequency 4, and the peak appearing in the power spectrum can be used to calculate the film thickness. In fact, this power spectrum is a diffusion Fourier transform method, which uses "m equals", "Tian Shi..." and there is also a situation in which the FFT can not be used to take the power spectrum of 77. For this reason, in the present embodiment, in addition to discrete Fourier transform such as FFT, a method of converting surface optimization or a conversion method can be performed. That is, $, as the calculation of the power spectrum, the film thickness of the ❹ ❹ ❹ ❹ , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , Details of the inauguration process, details of the 2010 201007117 "Microcomputer / PC utilization technology for scientific measurement of waveform data processing and measurement system" edited by Minami Shigeo '10th edition' August 1992 Issued on the 1st, CQ Press, is hereby provided as a reference.
進一步,本實施例之膜厚測定裝置1〇〇,除了從上述 所檢測到之反射率頻譜解析性地算出膜厚外,亦可以藉2 測定對象所算出之物理模型(model),理論性地算出2射 率頻曰後比較實際上檢測到的反射率頻譜,根據兩者間 之偏差值,探索性地算出測定對象之光學特性值,即執行 所明的配適(fitting)法。 另外如第2圖所示之SOI基板,相較於第2層Si〇2 層2之料’f Μ⑽i之膜厚為2位數以上就此待 測物而吕’利用配適(fiUing)法亦無法算出具有充 確度之各層膜厚。 _第9 ®係顯示SGI基板相關之反射率頻譜的測定結果 不意圖。於第9圖之測定例中,第i層&層i 1〇〇Mm ’第2層Si〇2層2之膜厚範圍為0.48叩〜〇 : Γ=:間隔變“第9圖所示,即使第2層- 層2之膜厚發生變γ卜 變化亦不會使測定之反射率頻譜產 大的變化。換句話苟, 座生太 說自此一待測物所測定之反射率頻摄, 由於主要受到第i層ςι•思, 千鴻”曰, 1層Si層】之影響,意味著第2 層2之參數即使發生變 生變化’亦無法充份地進行配適。 接下來董十於具有相異複數層之待測物 等,本實施例之膜厚豕基板 膘厚測疋裝置100執行上述之傅立葉轉 29 201007117 換、最佳化方法、配適法其中之一或適當地加以組合,用 以獨立出各層膜厚,並能夠正確地加以解析。以下,將說 明本實施例中’膜厚測定裝置丨00之膜厚算出程序之相關 細節。再者,係利用資料處理部份70 (第1圖)來執行此 一膜厚算出程序。 《資料處理部份之架構》 弟10圖係顯示依據本發明實施例之資料處理部份 概略硬體架構圖。 參考第10圖,通常由電腦實現資料處理部份70,包參 括:中央處理器(central processing unit, CPU) 200, 用以執行含有作業系統(operating system, OS)之各種 程式;記憶體部份212,用以於CPU 200執行程式時暫時 儲存必要之資料;及硬碟部份(hard disk drive, HDD) 210,用以非揮發性地儲存CPU 200所執行之程式。再者, 於硬碟部份210中,係事先儲存用來實現後述程序之程 式’該程式透過軟碟機(floppy disk drive, FDD) 216Further, in the film thickness measuring apparatus 1 of the present embodiment, in addition to the film thickness calculated analytically from the detected reflectance spectrum, the physical model calculated by the measurement target may be theoretically After calculating the two-spot rate frequency, the reflectance spectrum actually detected is compared, and based on the deviation value between the two, the optical characteristic value of the measurement target is exploratoryly calculated, that is, the fitting method is performed. In addition, as shown in Fig. 2, the film thickness of the material 'f Μ(10)i of the second layer of the Si〇2 layer 2 is two or more digits, and the object is measured by the fiiing method. It is impossible to calculate the film thickness of each layer with the degree of accuracy. _ 9th ® shows the measurement results of the reflectance spectrum associated with the SGI substrate. In the measurement example of Fig. 9, the film thickness of the i-th layer & layer i 1 〇〇 Mm 'the second layer Si 〇 2 layer 2 is 0.48 叩 〇 〇: Γ =: interval change "Fig. 9 Even if the film thickness of the second layer-layer 2 changes, the change in the reflectance spectrum of the measured layer does not cause a large change in the measured reflectance spectrum. In other words, the square is too much to say the reflectance measured from the object to be tested. Frequently, due to the influence of the i-th layer ςι•思, 千鸿”曰, 1 layer of Si layer, it means that even if the parameters of the second layer 2 change, it cannot be adequately fitted. Next, the film thickness 豕 substrate thickness measuring device 100 of the present embodiment performs one of the above-described Fourier transform 29 201007117 conversion, optimization method, and fitting method, or the like. They are appropriately combined to separate the film thicknesses of each layer and can be correctly analyzed. Hereinafter, details of the film thickness calculation program of the film thickness measuring device 丨00 in the present embodiment will be described. Further, the film thickness calculation program is executed by the data processing portion 70 (Fig. 1). The structure of the data processing section shows the outline hardware architecture of the data processing section according to the embodiment of the present invention. Referring to FIG. 10, a data processing portion 70 is generally implemented by a computer, and includes a central processing unit (CPU) 200 for executing various programs including an operating system (OS); The portion 212 is configured to temporarily store necessary data when the CPU 200 executes the program, and a hard disk drive (HDD) 210 for non-volatilely storing the program executed by the CPU 200. Furthermore, in the hard disk portion 210, the program for implementing the program described later is stored in advance. The program is floppy disk drive (FDD) 216.
A 或光碟驅動裝置(CD-ROM drive) 214,分別自軟碟216a 或光碟(compact disk-read only memory, CD-ROM) 214a 中被讀取。 透過由鍵盤(keyboard)及滑鼠(mouse)所組成之輸 入部份208,CPU 200接收來自於使用者等之指令,同時利 用程式之執行,將所測定之測定結果等輸出至顯示部份 2 04。各部份透過匯流排200互相連接。 《演算程序結構》 30 201007117 本實施例之資料處理部份7 〇,對應於待測物各層參 C材質 '膜厚 '膜厚範圍、折射率、消衰係數等)中未知 值之種類及數量’以及解析精確度等可從下示之程㈣ 樣(pattern)1〜6中選擇其—來執行。再者,於以下之A or a CD-ROM drive 214 is read from a floppy disk 216a or a compact disk-read only memory (CD-ROM) 214a. The CPU 200 receives an instruction from the user or the like through an input portion 208 composed of a keyboard and a mouse, and outputs the measured measurement result or the like to the display portion 2 by execution of the program. 04. The parts are connected to each other through the bus bar 200. "Calculation program structure" 30 201007117 The data processing part 7 of this embodiment corresponds to the type and quantity of unknown values in the "film thickness" film thickness range, refractive index, decay coefficient, etc. of each layer of the material to be tested. 'And the resolution accuracy, etc. can be selected from the following (4) patterns 1 to 6 to select them. Furthermore, in the following
說明中,如第2圖所千夕QnT 圃所不之SOI基板,係以獨立算出2層 層各自之膜厚為例’然而1用相同之方法,可用以獨立 算出更多積層各自之膜厚。 (1)程序型樣i 程序31樣卜係為已知第i層及第2層之折射率及消 衰係數時可執行之膜厚算出程序。於該程序型樣ι中,各 層之膜厚均用配適法決定。再者,於一實施例中,通常可 利用最小二乘法來作為配適法。 第U圖係顯示依據本發明實施例,用以執行與程序型 樣!相關之膜厚算出程序之控制構造方塊圖。於第u圖所 不之方塊圖中’ CPU 200將事先存於硬碟部份川等的程 式讀出至記憶體部份212,然後加以執行。 參考第11圖,資料處理部份70(第1圖)包括緩衝 Wbuff…部份71、模型(m〇del)化部份721及配適 (fitting)部份 722。 緩衝器部份71,用以暫存分光測定部份60所輸出之 實測反射率頻譜RU)。更具體地’分光敎部份6〇係根 據每個艮无定之波長解析度來輸出反射率之冑,因此,緩 衝器部份71係對應地儲存波長、及該波長之反射率。, 模型化部份72!接收與待測物相關之參數,根據所接 31 201007117 收之參數,決定用以表示待測物理論反射率之模型式(函 數)’然後利用所決定之函數,算出各波長之理論反射率 (頻譜)。所算出的各波長之理論反射率,係被輸出至配 適部份722。更具體地,模型化部份721接收第i層之折 射率m及消衰係數kl’以及第2層之折射率⑴及消衰係數 k2’同時,接收第1層之膜厚dl初始值及第2層之膜厚心 初始值。再者’亦可由使用者輸入各參數,或者亦可將標 準性材質之參數以檔案等事先儲存,必要時再讀出。再者, 必要時,亦可輸入大氣層之折射率n。及消衰係& ^。 ❹ 用以顯示理論反射率之模型式,係與上述三層系統之 待測物謝之反射率相同’為至少包含各層膜厚值之函數。 再者,模型化部份721根據下述配適部份722之參數 更新指令,用以對顯示理論反射率之函數進行更新,然後, 再根據更新後之函數,算出各波長之理論反射率(頻譜)。 更具體地,㈣化部份721依序更新料參數之第丨層之 膜厚d!及第2層之膜厚d2。 配適部份722讀出緩衝器部份71之反射率頻错實測_ 值,之後,利用模型化部份721所輸出之反射率頻譜理論 值’依序算出兩者間各波長之二乘偏差值。接著,配適部 份722從各波長之偏差值算出殘|,然後判斷該殘差是否 在既定臨界值以下。> 料、θ相 . 也就疋說,配適部份7 2 2判斷目前之 參數是否為收斂。 當殘差不在既定臨界值以下時,配適部份722傳送參 數更新指令至模型化㈣721,然後等待,直至新的反射 32 201007117 率頻譜被輸出為止。另一方面 田夕戈圭在既定臨界值以下 時’配適部份722將前 第1層膜厚dl及第2層之膜 厚d2作為解析值並輪出。 ^2圖係顯示依據本發明實施例之程序型態i相關之 膜厚异出程序之方法流程圖。 =考第12圖’使用者將待測物(樣本)放置於載物臺 以1圖)上(步驟S100)。之後,當使用者下達測定 準備指令時,顧家用伞、、语/ # #觀察用先源(第1圖)開始進行觀察光之照 射。使用者參考由觀察用攝影機38取得,並㈣於顯示部 伤39之反射像,將載物臺位置指令下達至可動機構5卜 用以進行測定範圍之調整及對焦(步驟sl〇2)。 完成測^範圍之調整及對焦後,使用者下達測定開始 I,測定用光源!。(第1K)開始產生測定光。分光測 ^部份接受待測物之反射光,並將基於該反射光之反射 率頻谱輸出至資料處理部份7G (步驟siG4)。接下來,資 ^處理部份70之CPU⑽將分光測定部份6()所檢測之反 率頻譜暫時儲存於分光測定部❾60等之中(步驟 咖)。資料處理部份7〇之卿2〇〇執行下述之膜厚算出 程序。 CPU 20 0將輸入畫面顯示於顯示器部份綱(第圖) 等之上,要求使用者輸人參數(步驟siQ8)。使用者根據 所顯示之輸入畫面等,輸入待測物第1層之折射率⑴及消 衣係數kl,以及待測物第2層之折射率⑴及消衰係數匕, 同時’輸人第1層之膜厚&及第2層之膜厚⑴初始值(步 33 201007117 驟 S110)。 進一步,CPU 200根據使用者所輪入之參數,算出反 射率頻譜之理論值(步驟S112)。接下來,針對記憶體部 份212等所儲存之反射率頻譜實測值與反射率頻譜理論 值,CPU 200依序算出兩者間各波長之二乘偏差值,用以 算出兩者之間之殘差(步驟S114)。進一步,cpu 2 0 0判 斷算出的殘差是否在既定臨界值以下(步驟SU6)。 冨算出的殘差不在既定臨界值以下之情況下(步驟 S116中NO之情況),CPU 200改變第i層之膜厚dl及第2參 層之膜厚ch的現在值(步驟S118) ^再者,膜厚士及膜厚 (h要往哪一方向進行何種程度之變更,係取決於殘差的發 生程度。之後,回到程序之步驟S112。 相對地,當算出的殘差在既定臨界值以下之情況下(步 驟S116中YES之情況),CPU2〇〇將第丄層之膜厚dl及第 2層之膜厚&的現在值作為待測物各層之膜厚(解析值) 並輸出(步驟S120)。之後,結束程序。 再者,於第11圖所示之方塊圖中,雖然折射率ηι、n2 及消衰係數k!、k2係以固定值輸入,亦可使用考慮到波長 分散之折射率及消衰係數。舉例來講,可將下述之Cauchy 模型式作為考慮到波長分散之折射率及消衰係數: ”⑴=含+含 其中’ a,6,c,i/,e,/表示每一層中之相關係數。 34 201007117 當使用該式時,故’中久在& + Λ中各係、數亦可輸人事先設定之初始 ’ 、〇 ,亦可將這些係數作為配適的對象》 或者,亦可使用下述之Sellmeier模型式: η(λ), + λ2 -h 其中,/,g,“ Sellmeier 係數,而。 (2)程序型樣2 程序型樣2,係為已知第1層及第2層之折射率及消 哀係數時可執行之膜厚算出程序。於該程序型樣2中,各 層之膜厚均用配適法決定。利用離散傅立葉轉換進行頻率 轉換’用以取得膜厚較大之第U,該第1層之膜厚為固 定值’而帛2層之膜厚則用配適法決^。再者,於-實施 例中,通常可利用最小二乘法來作為配適法。 ❿ 第13圖係顯示依據本發明實施例,用以執行與程序型 樣2相關之膜厚算出程序之控制構造方塊圖。於第η圖所 示之方塊圖中,咖2QG將事Μ於硬碟部份2iq等的程 式讀出至記憶體部份212,然後加以執行。 β參考第13圖,資料處理部份70(第1圖)包括緩衝 器部份71、波數轉換部份731、緩衝器部份732、傅 轉換部份733、波峰探索部份734、模型化部份735及配適 部份736。 % 緩衝器部份7卜用以暫存分光測定部份6〇所輸出之 實測反射率頻I# Κ(λ)。再者,具體架 述如上,於此不加贅述。 谷已詳 35 201007117 波數轉換部份731接收第1層之參數(折射率ηι及消 衰係數b),根據所接收之參數,將暫存於緩衝器部份Η 之反射率頻譜R(A)進行波數轉換。換句話說,波數轉換 部份731將反射率頻譜R(A)中之各波長與各波長反射率 的對應關係,轉換為與各波長相關之波數Κι ( λ )與利用上 述關係式所算出之波數轉換反射率^的對應關係。更具體 地針對緩衝器部份71所儲存之每一波長,波數轉換部份 731_依序算出波數Κι( λ )及波數轉換反射率及 (雄)/(ι-难)))’然後輸出至緩衝器部份732。 、 邛份732,將波數轉換部份731所依序輪出3 波數KK A )及波數轉換反射率岣“)對應儲存。也就是說 與波數Κ1( λ)相關,之波數轉換反射率之波數分佈特性,\ 波數轉換反射率而⑹,被儲存於緩衝器部份如之中。 傅立葉轉換部份733’將緩衝器部份m所 數轉換反射率用(幻),、隹 > 也上 戚 ) Kl㈣之傅立葉轉換, 用乂算出功率頻譜p!。再去 (FFT,^ 者犯夠利用快速傅立葉轉換 DCT) (dlsc-te cosine transfer, )等來作為傅立葉轉換之方法。 波峰探索部份734,於傅 功率頻u中探索出現之,、二轉換部份733所算出之 厚,將其作為第U 並取得該波峰所對應之膜 將其作為第1層之膜厚並輸出。 模型化部份735接收與待測物 收之參數,*定用 數根據所接 赵、 物理論反射率之模型4 數),然:後利用所決定之函數, =模1式(函 异出各波長之理論反射率 201007117 。所^的各波長之料反射率,係 適部份736。更^ j卬至配 _所輪出之第i層之=份:接收從波峰探* 消衰係數L,同時=:及弟2層之折射率…及 時接收第2層之膜厚&初始值。再In the description, as shown in Fig. 2, the SOI substrate is not calculated by the method of independently calculating the film thickness of each of the two layers. However, the same method can be used to calculate the film thickness of each of the layers. . (1) Program pattern i The program 31 is a film thickness calculation program that can be performed when the refractive index and the attenuation coefficient of the i-th layer and the second layer are known. In the procedure ι, the film thickness of each layer is determined by the fitting method. Furthermore, in one embodiment, a least squares method can generally be utilized as the adaptation method. Figure U is a diagram showing the execution of a program in accordance with an embodiment of the present invention! A block diagram of the control structure of the associated film thickness calculation program. In the block diagram of Fig. 5, the CPU 200 reads out the program previously stored in the hard disk portion, etc., to the memory portion 212, and then executes it. Referring to Fig. 11, the data processing section 70 (Fig. 1) includes a buffer Wbuff... portion 71, a model (m〇del) portion 721, and a fitting portion 722. The buffer portion 71 is configured to temporarily store the measured reflectance spectrum RU output from the spectrometry portion 60. More specifically, the 'splitting portion 6' outputs the reflectance according to the wavelength resolution of each of the pupils. Therefore, the buffer portion 71 stores the wavelength and the reflectance of the wavelength correspondingly. The model part 72 receives the parameter related to the object to be tested, and according to the parameter received by 31 201007117, determines the model (function) used to represent the theoretical reflectance of the object to be tested, and then uses the determined function to calculate Theoretical reflectance (spectrum) for each wavelength. The calculated theoretical reflectance of each wavelength is output to the appropriate portion 722. More specifically, the modeled portion 721 receives the refractive index m and the attenuation coefficient k1' of the i-th layer and the refractive index (1) and the attenuation coefficient k2' of the second layer, and simultaneously receives the initial value of the film thickness dl of the first layer and The initial value of the film thickness of the second layer. Furthermore, the parameters may be input by the user, or the parameters of the standard material may be stored in advance as files, and then read if necessary. Furthermore, if necessary, the refractive index n of the atmosphere can also be input. And attenuation system & ^.模型 The model used to display the theoretical reflectivity is the same as the reflectivity of the test object of the above three-layer system, which is a function of at least the film thickness value of each layer. Furthermore, the modeled portion 721 updates the function of displaying the theoretical reflectance according to the parameter update command of the matching portion 722 described below, and then calculates the theoretical reflectance of each wavelength according to the updated function ( Spectrum). More specifically, the (four) portion 721 sequentially updates the film thickness d! of the second layer of the material parameter and the film thickness d2 of the second layer. The adaptive portion 722 reads the reflectance frequency error _ value of the buffer portion 71, and then uses the reflectance spectrum theoretical value outputted by the modeled portion 721 to sequentially calculate the square deviation of each wavelength between the two. value. Next, the fitting portion 722 calculates the residual | from the deviation value of each wavelength, and then determines whether the residual is equal to or lower than a predetermined critical value. > Material, θ phase. In other words, the matching part 7 2 2 determines whether the current parameter is convergence. When the residual is not below the predetermined threshold, the adaptation portion 722 transmits the parameter update command to the modeled (four) 721 and then waits until the new reflection 32 201007117 rate spectrum is output. On the other hand, when Tian Xigegui is below the predetermined critical value, the fitting portion 722 takes the first film thickness dl and the film thickness d2 of the second layer as analytical values and rotates. The ^2 diagram shows a flow chart of a method for the film thickness deviation procedure associated with the program type i in accordance with an embodiment of the present invention. = Test Figure 12 The user places the object to be tested (sample) on the stage (Fig. S100). After that, when the user releases the measurement preparation command, the observation light is started by the household umbrella, the language/## observation source (Fig. 1). The user refers to the reflected image obtained by the observation camera 38 and (4) the display portion 39, and the stage position command is issued to the movable mechanism 5 for adjusting the measurement range and focusing (step sl2). After the adjustment of the measurement range and the focus are completed, the user releases the measurement start I, and the measurement light source is used! . (1K) starts to generate measurement light. The spectroscopic portion receives the reflected light of the object to be tested, and outputs a reflectance spectrum based on the reflected light to the data processing portion 7G (step siG4). Next, the CPU (10) of the processing section 70 temporarily stores the inverse spectrum detected by the spectrometry section 6() in the spectrometry unit ❾60 or the like (step coffee). The data processing section 7〇〇2〇〇 performs the following film thickness calculation procedure. The CPU 20 0 displays the input screen on the display part (Fig.) or the like, and asks the user to input the parameters (step siQ8). The user inputs the refractive index (1) of the first layer of the object to be tested and the coefficient of cancellation k1 according to the input screen displayed, and the refractive index (1) and the attenuation coefficient 第 of the second layer of the object to be tested, and simultaneously enters the first The film thickness of the layer & and the film thickness of the second layer (1) initial value (step 33 201007117 step S110). Further, the CPU 200 calculates a theoretical value of the reflectance spectrum based on the parameters that the user has entered (step S112). Next, for the measured value of the reflectance spectrum and the theoretical value of the reflectance spectrum stored in the memory portion 212 and the like, the CPU 200 sequentially calculates the squared deviation value of each wavelength between the two to calculate the residual between the two. Poor (step S114). Further, cpu 200 determines whether or not the calculated residual is below the predetermined threshold (step SU6). When the calculated residual is not equal to or less than the predetermined threshold (in the case of NO in step S116), the CPU 200 changes the film thickness d1 of the i-th layer and the current value of the film thickness ch of the second reference layer (step S118). The thickness of the film and the film thickness (how much change is made in which direction h depends on the degree of occurrence of the residual. Then, the process returns to step S112 of the program. In contrast, when the calculated residual is in the predetermined When the critical value is equal to or less than the critical value (in the case of YES in step S116), the CPU 2 作为 sets the film thickness d1 of the second layer and the film thickness of the second layer to the film thickness (analytical value) of each layer of the object to be tested. And outputting (step S120). Thereafter, the program is terminated. Further, in the block diagram shown in Fig. 11, although the refractive indices ηι, n2 and the attenuation coefficients k!, k2 are input at a fixed value, they may be considered. The refractive index and the decay coefficient of the wavelength dispersion. For example, the following Cauchy model can be used as the refractive index and the attenuation coefficient considering the wavelength dispersion: "(1) = containing + containing 'a, 6, c, i/, e, / represents the correlation coefficient in each layer. 34 201007117 When using this formula, 'In the long-term & + Λ 各 各 各 亦可 亦可 亦可 事先 事先 事先 事先 事先 事先 事先 & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & λ), + λ2 -h where /, g, " Sellmeier coefficient, and (2) program type 2 program pattern 2, when the refractive index and the coefficient of nuisance of the first layer and the second layer are known The film thickness calculation program can be executed. In the program pattern 2, the film thickness of each layer is determined by a suitable method. Frequency conversion by discrete Fourier transform is used to obtain a U-thickness having a large film thickness, and the first layer is The film thickness is a fixed value', and the film thickness of the 帛2 layer is determined by a suitable method. Further, in the embodiment, the least squares method can generally be used as the fitting method. ❿ Figure 13 shows the implementation according to the present invention. For example, a block diagram of a control structure for executing a film thickness calculation program related to the program pattern 2. In the block diagram shown in the figure n, the coffee 2QG reads out a program such as a hard disk portion 2iq to The memory portion 212 is then executed. [beta] Referring to Figure 13, the data processing portion 70 (Fig. 1) includes The buffer portion 71, the wave number conversion portion 731, the buffer portion 732, the rich conversion portion 733, the peak search portion 734, the modeled portion 735, and the fitting portion 736. % buffer portion 7 It is used to temporarily store the measured reflectance frequency I# Κ(λ) outputted by the spectrometry part 6。. Furthermore, the specific description is as above, and will not be described here. 谷已详 35 201007117 Wave number conversion part 731 receiving The parameters of the first layer (refractive index ηι and the attenuation coefficient b) are subjected to wave number conversion of the reflectance spectrum R(A) temporarily stored in the buffer portion 根据 according to the received parameters. In other words, the wave number conversion portion 731 converts the correspondence between each wavelength in the reflectance spectrum R(A) and the reflectance of each wavelength into a wave number Κι (λ) associated with each wavelength and uses the above relationship Calculate the correspondence between the wavenumber conversion reflectance ^. More specifically for each wavelength stored in the buffer portion 71, the wave number conversion portion 731_ sequentially calculates the wave number Κι(λ) and the wave number conversion reflectance and (male) / (ι-diffic)) 'The output is then to the buffer portion 732.邛, 732, the wave number conversion part 731 sequentially rotates 3 wave number KK A ) and the wave number conversion reflectance 岣 ") corresponding storage, that is, the wave number Κ 1 ( λ), the wave number The wavenumber distribution characteristic of the converted reflectance, \ wavenumber conversion reflectivity (6), is stored in the buffer portion, for example. The Fourier transform portion 733' uses the converted reflectance of the buffer portion m (phantom) , , 隹 > Also on 戚) Kl (four) Fourier transform, use 乂 to calculate the power spectrum p!. Then go (FFT, ^ is enough to use fast Fourier transform DCT) (dlsc-te cosine transfer, ), etc. as a Fourier transform The peak search portion 734 searches for the thickness calculated in the power frequency u, and the thickness calculated by the second conversion portion 733 is taken as the Uth and the film corresponding to the peak is obtained as the first layer. The film thickness is outputted. The modeled part 735 receives the parameter with the object to be tested, and the number of the fixed number is based on the model 4 of the theoretical reflectivity of the connected object, and then: the function determined by the method, = modulo 1 Equation (the theoretical reflectivity of each wavelength is 201007117. , the appropriate part of 736. More ^ j卬 to match _ rounded out the i-th layer = share: receiving from the peak detection * attenuation coefficient L, while =: and the second layer of the refractive index ... receive the second in time Film thickness of the layer & initial value.
'可由使用者輸人各參數,或者亦可將性 以標案等事先儲存,必要時再讀出。用以顯示理論 之模型式’係與上述三層系統之待㈣ 同,為至少包含各層膜厚值之函數。 射率相 t再者,模型化部份735才艮據配適部份736之參數更新 心令’用以對顯示理論反射率之函數進行更新,然:後,根 據更新後之函數,再算出各波長之理論反射率(頻譜)。 更具體地’模型化部份735依序更新作為參數之第 膜厚d2。 配適部份736讀出緩衝器部份71之反射率頻譜實測 值’之後,利用模型化部份735所輸出之反射率頻譜理論 _值,依序算出兩者間各波長之二乘偏差值。接著,配適部 份736從各波長之偏差值算出❹,然後判斷該殘差是否 在既定臨界值以下。也就是說,配適部份736判斷目前之 參數是否為收斂。 备殘差不在既定臨界值以下時,配適部份73 6傳送參 數更新指令至模型化部份735,然後等待,直至新的反射 率頻譜被輸出為止。另一方面,當殘差在既定臨界值以下 時,配適部份736將目前之第1層之膜厚di及第2層之膜 厚d2作為解析值並輸出。 37 201007117 第14圖係顯示依據本發明實施例之程序型態2相關之 膜厚算出程序之方法流程圖。於第14圖所示之流程圖各步 驟中,步驟S100〜S108之程序,與第12圖所示之流程圖, 係以相同符號表示相同之步驟,⑨此不加贅述。以下將針 對與第12圖所示之流程圖不同之處,即步驟S132之後的 膜厚算出程序進行說明。 ,於步驟S132中,使用者根據所顯示之輪入畫面等,輸 入待測物第1層之折射率ηι及消衰係數k,以及待測物第 2層之折射率n2及消衰係數k2,同時,輸人第2層之媒厚 d2初始值。'The parameters can be entered by the user, or the sex can be stored in advance by the standard, etc., and read if necessary. The model used to show the theory is the same as the above-mentioned three-layer system (4), and is a function containing at least the film thickness values of the respective layers. In addition, the modeling section 735 updates the function of the display theoretical reflectivity according to the parameters of the matching part 736, and then: according to the updated function, Theoretical reflectance (spectrum) for each wavelength. More specifically, the modeled portion 735 sequentially updates the film thickness d2 as a parameter. After the matching portion 736 reads the reflectance spectrum measured value ' of the buffer portion 71, the reflectance spectrum theory_value outputted by the modeled portion 735 is used to sequentially calculate the squared deviation value of each wavelength between the two. . Next, the fitting portion 736 calculates ❹ from the deviation value of each wavelength, and then determines whether or not the residual is below a predetermined critical value. That is, the matching portion 736 determines whether the current parameter is convergent. When the residual is not below the predetermined threshold, the adaptive portion 73 6 transmits the parameter update command to the modeled portion 735 and then waits until the new reflectance spectrum is output. On the other hand, when the residual is below a predetermined critical value, the fitting portion 736 outputs the film thickness di of the first layer and the film thickness d2 of the second layer as analytical values. 37 201007117 Figure 14 is a flow chart showing the method of calculating the film thickness associated with the program type 2 according to the embodiment of the present invention. In the steps of the flowchart shown in Fig. 14, the procedures of steps S100 to S108 and the flowcharts shown in Fig. 12 are denoted by the same reference numerals, and will not be described again. Hereinafter, the film thickness calculation program after step S132 will be described with respect to the difference from the flowchart shown in Fig. 12. In step S132, the user inputs the refractive index ηι and the attenuation coefficient k of the first layer of the object to be tested, and the refractive index n2 and the attenuation coefficient k2 of the second layer of the object to be tested according to the displayed wheeling screen. At the same time, the input layer 2 thickness of the media thickness d2 initial value.
…然後,CPU 200根據所輸入之第i層之折射率⑴及消 哀係數k,,對記憶體部份212等所儲存之反射率頻譜進行 波數轉換(步驟S134)。接著,將該波數轉換後所取得之 波數轉換反射率儲存至記憶體部份212等(步驟MM)。 進一步,CPU 2GG將波數轉換反射率進行與波數κ相關之 傅立葉轉換’用以算出功率頻譜(步驟⑴8)。進—步, CPU 200取得功率頻譜巾所出現之料及該料對應之膜 厚將其作為第1層之膜厚⑴並輸出(步驟。 接著,CPU 200根據步驟S21〇所取得之第^之膜厚 ^及使用者所輸入之第2層參數,算出反射率頻譜之理 論值(步驟S142)。接下來,針對記憶體部份212等所儲 存之反射率頻譜實測值與反射率頻譜理論值,CPU 200依 序算出兩者間各波長之二乘偏差值,用以算出兩者之間之 殘差(步驟S144)。進-步,cpu 判斷算出的殘差是 38 201007117 否在既定臨界值以下(步驟S146)。 當算出的殘差不在既定臨界值以下之情況下(步驟 S146 "〇之情況)’ cpu _改變第2層之臈厚&的現 在值(步驟S148)。再者,膜厚^要往哪一方向進行何種 程度之變更’係取決於殘差的發生程度。之後,回到程 之步驟S142。 相對地,當算出的殘差在既定臨界值以下之情況下(步 驟SU6中YES之情況),cpU2〇〇將第i層之膜厚丄及第 2層之膜厚d2的現在值作為待測物各層之膜厚(解析值) 並輸出(步驟S150)。之後,結束程序。 再者’與上述之程序型樣!相同,亦可使用考慮到波 長分散之折射率及消衰係數。詳細的函數已說明如上,於 此不加贅述。 、 (3 )程序型樣3 衰#^㈣3 ’係為6知帛1層及第2層之折射率及消 =係數時可執行之膜厚算出程序。於該程序型樣3中,相 較於上述之程序型樣2,相異在處在於,當算出第】層之 :厚時’並不進行傅立葉轉換,而是利用最佳化之方法。 於其它之程序’係與上述之程序型#2相同。 樣圖係顯示依據本發明實施例,用以執行與程序型 樣,之膜厚算出程序之控制構造方塊圖。於第15圖所 二!圖中,CPU 200將事先存於硬碟部份21°等的程 x 圮憶體部份2丨2,然後加以執行。 參考第15圖,資料處理部份7〇(第1圖)包括緩衝 39 201007117 器部份η、最佳化演算部份74ι、模型 部份743。 丨仿/42及配適 緩衝器部份71 ’用以塹左八、, 實測反射率頻譜Κ(λ ) ” '見疋部份60所輪出之 述如上,於此不加賢述。再者,具體架構及處理内容已詳 最佳化演算部份74卜利用_等最佳化之 析緩衝器部份71所儲存之反射 ’解 出们層之膜厚d”更具體地,最佳化演^成;^以算 自我迴歸模型’用以取得相對於反射率頻譜實:J用 迴歸㈣县广 摇述自我迴歸模型之自我 <歸係數。最佳化演算部份741 我 用以取得對應於主成分波長之膜厚,將其^订頻率解析, 厘、作為第1層之膜 厚Ch並輸出。再者,在執行最佳 膜 部份741接跄筮! s 万法别’最佳化演算 Μ 741接收第!層之膜厚士之檢索範圍、第 率化及消衰係數kl、及第2 射 ΠΒ±地五 層之折射率η2及消衰係數k2, =各=第:層之媒厚d2暫定值。再者,亦可由使用者 錯存者亦可將標準性材f之參數以槽案等事先1 谲存,必要時再讀出。 份:=份Γ及配適部份743,接收最佳化演算部 轉出之第丨層之膜厚1及待測物相關 利用配適來決定第2層之膜厚d2。 部份743之程序,分別與上述之程份广及配適 7qi. 斤孓樣2之模型化部份 735及配適部份736相同,於此不加贅述。 第Μ圖係顯示依據本發明實施例之程序型態3相關之 40 201007117 膜厚算出程序之方法流程圖 由 土 丨不之流程圖各步 ’’驟S100〜S106之程序,與第12圖所示 係以相同符號表示相同之步驟,於此;… 膜厚=示之流程圖不同之處’即步驟⑽之後的 膜厚算出程序進行說明。 :步驟S162中,使用者根據所顯示之輪入晝面等,輸 ::物第i層之膜厚6之檢索範圍、待剛物第i層之折 參 2⑴及消衰係數kl、及待測物第2層之折射率⑴及消衰 係數k2。 法解析緩衝器部份 ’用以算出第1層之 然後,CPU 200利用最佳化之方 212所儲存之反射率頻譜之頻率成分 膜厚di (步驟S164)。 CPU 200根據波算出反射率頻譜之理論值(步 驟⑽)。接下來,針對記憶體部份212等所儲存之反射 率頻譜實測值與反射率頻譜理論值’ cpu 2〇〇依序算出兩 鲁者間各波長之二乘偏差值,用以算出兩者之間之殘差(步 驟S1 68)。進-步,CPU 200判斷算出的殘差是否在既定 臨界值以下(步驟S1 70)。 當算出的殘差不在既定臨界值以下之情況下(步驟 S170中NO之情況),CPU 2〇〇改變第2層之膜厚心的現 在值(步驟S172)。再者,膜厚&要往哪一方向進行何種 程度之變£,絲決於殘差的發生程度。之後,回到程序 之步驟S166。 相對地,當算出的殘差在既定臨界值以下之情況下(步 41 201007117 驟S170中YES之情況),CPU 200將第1層之膜厚dl及第 2層之膜厚d2的現在值作為待測物各層之膜厚(解析值) 並輸出(步驟S174)。之後,結束程序。 再者,與上述之程序型樣1相同,亦可使用考慮到波 長分散之折射率及消衰係數。詳細的函數已說明如上,於 此不加贅述。 (4 )程序型樣4Then, the CPU 200 performs wave number conversion on the reflectance spectrum stored in the memory portion 212 or the like based on the input refractive index (1) and the nuisance coefficient k of the i-th layer (step S134). Next, the wave number converted reflectance obtained after the wave number conversion is stored in the memory portion 212 or the like (step MM). Further, the CPU 2GG performs a Fourier transform on the wave number conversion reflectance in association with the wave number κ to calculate a power spectrum (step (1) 8). Further, the CPU 200 obtains the material appearing in the power spectrum towel and the film thickness corresponding to the material, and outputs it as the film thickness (1) of the first layer (step. Next, the film obtained by the CPU 200 according to step S21) Calculate the theoretical value of the reflectance spectrum by the thickness and the second layer parameter input by the user (step S142). Next, for the measured value of the reflectance spectrum and the theoretical value of the reflectance spectrum stored in the memory portion 212 and the like, The CPU 200 sequentially calculates the squared deviation values of the respective wavelengths between the two to calculate the residual between the two (step S144). Further, the cpu determines that the calculated residual is 38 201007117 or not below the predetermined threshold. (Step S146) When the calculated residual is not below the predetermined threshold (in the case of step S146 "〇), cpu_ changes the current value of the thickness of the second layer & (step S148). The extent to which the film thickness is to be changed depends on the degree of occurrence of the residual. Then, it returns to step S142. Relatively, when the calculated residual is below the predetermined threshold ( YES in step SU6), cpU2现在 The current value of the film thickness 第 of the i-th layer and the film thickness d2 of the second layer is taken as the film thickness (analytical value) of each layer of the object to be tested (step S150). Thereafter, the program is terminated. The program type! The same, it is also possible to use the refractive index and the attenuation coefficient considering the wavelength dispersion. The detailed function has been explained above, and will not be described here. (3) Program type 3 fading #^(4) 3 ' is 6 The film thickness calculation program that can be performed when the refractive index and the elimination coefficient of the first layer and the second layer are known. In the program pattern 3, compared with the above-mentioned program pattern 2, the difference is in the calculation. The first layer: when thick, 'does not perform Fourier transform, but uses the optimization method. The other program' is the same as the above-mentioned program type #2. The sample diagram is displayed according to the embodiment of the present invention, Execution and program type, the control structure block diagram of the film thickness calculation program. In Fig. 15, the CPU 200 stores the process in front of the hard disk portion 21°, etc. 2, and then perform. Refer to Figure 15, data processing part 7〇 (1st picture) including buffer 39 2010071 17 part η, optimization calculation part 74 ι, model part 743. 丨 imitation / 42 and fitting buffer part 71 ' used to 堑 left eight, measured reflectance spectrum Κ (λ) ” 'see疋 Some of the 60 rounds are as described above, and there is no stipulation. In addition, the specific structure and processing contents have been optimized for the calculation part 74. The reflection of the storage 'resolve the film thickness d of the layers” is more specifically optimized, and the self-regressive model is used to obtain the spectrum relative to the reflectance: J uses the regression (4) The self of the regression model < coefficient of return. The optimization calculation section 741 is used to obtain the film thickness corresponding to the wavelength of the principal component, and to analyze the frequency, and to output it as the film thickness Ch of the first layer. Furthermore, in the implementation of the best film part 741 contact! s 10,000 law's best calculus Μ 741 receives the first! The search range, the gradation and the decay coefficient kl of the film thickness of the layer, and the refractive index η2 and the decay coefficient k2 of the second ΠΒ± 五 地 、 、 、 = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Furthermore, the parameter of the standard material f may be stored in advance by a slot or the like, and may be read out if necessary. Parts: = part and the appropriate part 743, the film thickness 1 of the second layer transferred from the optimization optimization calculation unit and the object to be tested are determined by the fit to determine the film thickness d2 of the second layer. The procedures of Part 743 are the same as those of the above-mentioned method and the matching part 735 and the fitting part 736, which are not described here. The figure is a flowchart showing the method of calculating the film thickness calculation procedure according to the embodiment of the present invention. The method of the method for calculating the film thickness is shown in the steps of S100 to S106. The same steps are denoted by the same reference numerals, and the film thickness = the difference in the flow chart shown in the drawing, that is, the film thickness calculation program after the step (10) will be described. In step S162, the user inputs: the search range of the film thickness of the i-th layer of the object, the folding parameter 2(1) of the i-th layer of the object, and the decay coefficient kl, and the The refractive index (1) of the second layer of the object and the attenuation coefficient k2. The method parsing buffer portion ' is used to calculate the first layer. Then, the CPU 200 uses the frequency component film thickness di of the reflectance spectrum stored by the optimized side 212 (step S164). The CPU 200 calculates the theoretical value of the reflectance spectrum from the wave (step (10)). Next, the measured value of the reflectance spectrum stored in the memory portion 212 and the reflectance spectrum and the theoretical value of the reflectance spectrum 'cpu 2〇〇 are sequentially calculated to calculate the squared deviation values of the wavelengths between the two Luders to calculate the two. The residual between them (step S1 68). Further, the CPU 200 determines whether or not the calculated residual is below a predetermined threshold (step S1 70). When the calculated residual is not below the predetermined threshold (in the case of NO in step S170), the CPU 2 changes the present value of the film thickness of the second layer (step S172). Furthermore, the extent to which the film thickness & in which direction is to be changed depends on the degree of occurrence of the residual. Thereafter, the process returns to step S166 of the program. On the other hand, when the calculated residual value is equal to or less than the predetermined threshold value (YES in step 41 201007117 to step S170), the CPU 200 sets the current value of the film thickness d1 of the first layer and the film thickness d2 of the second layer as The film thickness (analytical value) of each layer of the test object is output (step S174). After that, the program ends. Further, similarly to the above-described program pattern 1, it is also possible to use a refractive index and a decay coefficient which take into consideration the dispersion of the wavelength. The detailed function has been explained above and will not be described here. (4) Program type 4
程序型樣4,係為改良程序型樣i之方法,用以根據 配適更確實地收斂。換言之,如s〇I基板,對第丨層及第 2層之膜厚差異很大的待測物而言,為了對各層膜厚進行 配適,初始值相當重要。於此,程序型樣4首先利用最佳 化之方法決定各層膜厚初始值,㈣制這些初始值及配 適,來決定第1層及第2層之膜厚。The program pattern 4 is a method for improving the program pattern i to converge more reliably according to the adaptation. In other words, as for the s〇I substrate, for the test object having a large difference in film thickness between the second layer and the second layer, the initial value is important in order to match the film thickness of each layer. Here, the program pattern 4 first determines the initial thickness of each layer by the method of optimization, and (4) determines the film thicknesses of the first layer and the second layer by preparing these initial values and the appropriate values.
第17圖係顯*依據本發明實施例,用以執行與程序型 樣4相關之膜厚算出程序之控制構造方塊圖。於第17圖所 示之方塊圖中,CPU 200將事先存於硬碟部份⑽等的程 式讀出至記憶體部份212,然後加以執行。 之控制構造,除了增加 所示之程序型樣丨相關 第17圖所示之程序型樣4相關 最佳化演算部份751,係與第u圖 之控制構造實質上相同。 最佳化演算部份751,利用 析 別 化 MUM等最佳化之方法,解 緩衝器部份71所儲存之反射 Α Ψ ^ 1 a ^ ^ ® , 屑"曰之頻率成分,用以分 算出第1層之膜厚丄及第2層 、〜检 嘈之膜厚d2。特別地,最佳 凟算部份751解析實測之 率頻譜之頻率,用以操取 42 201007117 出所得到的兩個以上的波峰,再 + 厚,用以分別算出第1層之膜厚6及1二波峰所對應之膜 者,所算出之第1層之膜厚丄及第 層之膜厚d2。再 ^ ^ 層之膜厚d2,#用以 作為配適之初始值,因此不需嚴” 化演算部份751具體的頻率解析方/確度。再者,最佳 算部份741相同,於此不加費述。與上述之最佳化演 模型化部份7 21及配適部儉7 9 份⑸所算出之第^之膜厚=收最佳化演算部 作為初始值,利用配適來決定原本之第第2^之模厚I將其 2層之媒厚.模型化部份721及配第/層之琪厚“第 容已%明& μ 及配適部份722之程序内 今已說明如上,於此不加贅述。 第18圖係顯示依據本發% 膜厚算出…… 實施例之程序型態4相關之 == 程圖,18圖所示之流程圖中, 係叹置步驟S111A及SniB之程序,用以抑接哲 =:rsu°。關於其它之程序,係以相同符號表示 ::?步驟’於此不加贅述。以下說明與…程序相異 參考第18圖,步驟ςι no i ^ 鞋库 8執仃後,執行步驟S1UA之 =:驟_中’使用者根據所顯示之輸入 輸入待測物第1層之折射率 — 2層之折射率n2及消衰係數二=kl、及待測物第 1之檢索範圍及第2層之2 μ :入第1層之膜厚 步驟S111B中,cpu 、厚之㈣範圍。於接下來之 部份212所健存之反利用最佳化之方法’解析緩衝器 率頻譜之頻率成分,用以算出第1 43 201007117 層之膜厚ch及第2層之膜厚d”步驟Sllu所算出之第t 層之膜厚d!及第2層之膜厚d2,係作為初始值使用。接下 來’於步驟S111B後,與第12圖之步驟SU2之後,係執 行相同之程序。 再者與上述之程序型樣i相同,亦可使用考慮到波 長刀散之折射率及 >肖衰係數。詳細的函數已說明如上,於 此不加贅述。 (5 )程序型樣5Fig. 17 is a block diagram showing a control structure for executing a film thickness calculation program relating to the program type 4 according to an embodiment of the present invention. In the block diagram shown in Fig. 17, the CPU 200 reads out the program previously stored in the hard disk portion (10) or the like to the memory portion 212, and then executes it. The control structure is substantially the same as the control structure of the u-th figure except that the program pattern shown in Fig. 17 is added in addition to the program pattern shown in Fig. 17. The optimization calculation part 751 extracts the frequency components of the reflection Α 1 ^ 1 a ^ ^ ® and the shards stored in the buffer portion 71 by means of the optimization method such as the resolution MUM. The film thickness 第 of the first layer and the film thickness d2 of the second layer and the 嘈 layer were calculated. In particular, the optimal calculation portion 751 analyzes the frequency of the measured rate spectrum to obtain two or more peaks obtained by the 42 201007117, and then + thick, to calculate the film thickness of the first layer 6 and 1 respectively. The film thickness corresponding to the film corresponding to the two peaks is calculated as the film thickness 第 of the first layer and the film thickness d2 of the first layer. The film thickness d2, # of the layer is used as the initial value of the fit, so it is not necessary to strictly calculate the specific frequency resolution/determination of the part 751. Furthermore, the best calculation part 741 is the same. The above-mentioned optimization model part 7 21 and the fitting part 俭79 (5) calculated the film thickness = the optimization calculation unit as the initial value, using the fit Decide that the original 2nd thickness of the mold layer I will be the thickness of the two layers. The model part 721 and the layer / layer of the thickness of the "the volume has been % Ming & μ and the fitting part 722 within the program This has been explained above and will not be described here. Figure 18 shows the calculation of the % film thickness according to the present invention. The program pattern of the embodiment is related to the == process chart. In the flowchart shown in Fig. 18, the procedure of steps S111A and SniB is applied to suppress Jiezhe =: rsu °. Regarding other programs, the same symbols are used to indicate ::? steps, which are not described herein. The following description differs from the ... program. Referring to Figure 18, the step ςι no i ^ after the shoe library 8 is executed, the step S1UA is executed =: _ _ the user inputs the refraction of the first layer of the object to be tested according to the displayed input Rate - the refractive index n2 of the 2 layers and the coefficient of decay 2 = kl, and the search range of the 1st object to be tested and 2 μ of the 2nd layer: the film thickness of the 1st layer in step S111B, cpu, thick (4) range. The frequency component of the buffer rate spectrum is analyzed by the method of optimizing the anti-utilization of the next part 212 to calculate the film thickness ch of the 1st 43 201007117 layer and the film thickness d of the second layer. The film thickness d! of the t-th layer and the film thickness d2 of the second layer calculated by Sllu are used as initial values. Then, after step S111B, the same procedure is executed after step SU2 of FIG. Further, similarly to the above-described program pattern i, a refractive index in consideration of the wavelength of the blade and a > Xiaoxiao coefficient can be used. The detailed function has been described above, and will not be described herein. (5) Program pattern 5
程序型樣5,係為已知其中1層之联厚’只解析另一 層臈厚之情況下所適用之方法,為上述程序型#】之變形 例。於以下之說明t ’待測物第2層之媒厚為已知,而第 1層之膜厚則用配適法決定。 第19圖係顯示依據本發明實施例,用以執行與程序型 樣5相關之媒厚算出程序之控制構造方塊圖。於帛Μ圖所The program pattern 5 is a modified example in which the method of applying the thickness of one layer to the case where only the thickness of the other layer is analyzed. In the following description, the media thickness of the second layer of the object to be tested is known, and the film thickness of the first layer is determined by the fitting method. Fig. 19 is a block diagram showing the control structure for executing the medium thickness calculation program relating to the program type 5 according to the embodiment of the present invention. Yutu
不之方塊圖中,CPU⑽將事先存於硬碟部份⑽等的程 式讀出至記憶體部份212,然後加以執行。 第19圖所示之與程序型樣5相關之控制構造,係配置 模型化部份72U,用以於第u圖所示之與程序型樣!相 關之控制構造中,代替模型化部份721。 模型化部份721A接收第1層之折射率ηι及消衰名 k”以及第2層之折射率n2及消衰係數匕,同時,接名 1層之膜厚d,初始值及第2層之膜厚d2已知值(已知值 再者’亦可由使用者輸人各參數,或者亦 之參數以播案等事先健存,必要時再讀出。再者,= 44 201007117 亦可輸入大氣層之折射率n。及消衰係數k〇。 再者’模型化部份721A根據配適部份722之參數更新 才日令’用以依序更新第彳屉夕腊歷』 i 再根據更新後之第 d"對顯示理論反射率之函數進行更新。進一 :反H化广72U根據更新後之函數,算出各波長之理 _反射率(頻譜)。根據此-方式,第i層之 配適法決定。 序山係用 關於其它之架構’已詳述如上,於此不加贅述。 第20圖係顯示依據本發明實施例之程序 :厚算出程序之方法流程圖。於第-圖所示之流程圖中 =置步驟S11〇A、S118…㈣之程序, 12圖所示流程圖之步驟su〇、sn8及襲。關於其它: 程序’係以相同符號表示相同之步驟,於此不、 下說明與第12圖程序相異之處。 。以 ❹ :考第2。圖’於步驟謂中,使用者根據所顯示之 '晝面等,輸入待測物第1層之折射率ηι及消衰係拓k 及待測物第2層之折射率n2及消衰係數k2,同時,’ 1層热I入第 層之膜厚i之初始值及第2層之膜厚d2之已知值。 於步驟S118A中,CPU 200改變第1層之膜展 在值。械^ H <联厚1之現 換g之,於程序型樣5中,僅第丨層之膜厚 適之對象。 1為配 ,於步驟S120A中,當算出的殘差在既定臨界值以 = 將第1層之膜厚i之現在值作為待 之媒厚(解析值)並輸出。 45 201007117 再者,與上述之程序型樣!相同,亦可使用考慮到波 長分散之折射率及消衰係數。詳細的函數已說明如上,於 此不加贅述。 (6 )程序型樣6 程序型樣6 ’係為已知其中!層之膜厚,只解析另一 層膜厚之情況下所適用之方法,為上述程序型樣5之變形 例。於以下之說明中,待測物第2層之膜厚為已知而第 1層之膜厚則用配適法或傅立葉轉換決定。 第21圖係顯示依據本發明實施例,用以執行與程序型_ 樣6相關之膜厚算出程序之控制構造方塊圖。於第21圖所 示之方塊圖中,CPU 200將事先存於硬碟部份21〇等的程 式讀出至記憶體部份212,然後加以執行。 第21圖所示之與程序型樣4相關之控制構造,係配置 配適部份722A,用以於第19圖所示之與程序型樣4相關 之控制構造中,代替配適部份722,同時,更增加波數轉 換部份73卜緩衝器部份732、傅立葉轉換部份733及波峰 探索部份734。 m 換句話說,於此程序型樣中,待測物帛i層之膜厚1 由配適法決定,不過,當配適無法於規定次數内收敛之情 況下’則利用傅立葉轉換來決定第1層之膜厚di。 配適部份722A讀出緩衝器部份71之反射率頻譜實測 值,之後,傳送參數更新指令至模型化部份72U,使得上 述實測值與模型化部份721A所輪出之反射率頻譜理論值 兩者間之殘差在既定臨界值以下。進一步,即使配適部份 46 201007117 722A進行喊次數之演算後,殘差也無法在既定臨界值以 下之情況下,則傳送切換指令至波數轉換部份731,利用 傅立葉轉換來決定第丨層之膜厚d]。 再者,關於波數轉換部份731、緩衝器部份732、傅立 葉轉換部份733及波峰探索部份734,&配合帛U圖所示 之程序型樣2說明如上,於此不加贅述。 第22圖係顯示依據本發明實施例之程序型態6相關之 ❹膜厚算出程序之方法流程圖。於第22圖所示之流程圖中, 係增加第20圖所示流程圖之步驟sm,同時增加第_ 所示流程圖之步驟S134〜sl4Qe關於其它之程序,係以相 同符號表示相同之步驟,於此不加資述。以下說明與第Η 圖及第20圖程序相異之處。 β參考第22圖,於步驟S117中,cpu 2〇〇判斷配適程 序是否已重複規定次數以上。配適程序並未重複規定次數 以上之情況(步驟S117中N0之情況)下,執行完步驟su8 參之程序後,程序回到之步驟S112。相對地,適程序已重 複規定次數以上之情況(步驟sm中YES之情況)下,程 序前進至步驟S134。 於步驟S134〜S140中,利用傅立葉轉換來決定第丄層 之膜厚I。關於這些步驟之程序,係已說明如上,於此不 加贅述。 《測定例》 —第23圖係顯示利用本發明實施例之膜厚測定裝置測 I基板膜厚之測定結果。再者,於第2 3圖中,係顯示 47 201007117 將反射率頻譜進行頻率轉換(FFT轉換)後,所得到之功 率頻譜。 第23(a)圖係顯示第1層Si層之膜厚為22.〇um,且第 2層Si〇2層之膜厚為3. Ομιη之SOI基板的測定結果。於第 23(a)圖中,係利用所測定之反射率頻譜中147〇nm〜16〇〇nm 之成分來進行頻率轉換。其結果是,於21. 8613μιη所對應 之位置上產生最大波蜂。 第23(b)圖係顯示第1層Si層之膜厚為32. Ομιη,且第 2層Si〇2層之膜厚為2 〇_之s〇i基板的測定結果。於第 〇 23(b)圖中,係利用所測定之反射率頻譜中15〇〇nm〜16〇〇nm 之成分來進行頻率轉換。其結果是,於30. 6269um所對應 之位置上產生最大波峰。 第23(c)圖係顯示第1層Si層之膜厚為16. 〇um,且第 2層Si〇2層之膜厚為13|jm之s〇i基板的測定結果。於第 23(c)圖中,係利用所測定之反射率頻譜中14〇〇nm〜16〇〇nm 之成分來進行頻率轉換。其結果是,於15. 9069|Jin所對應 之位置上產生最大波峰。 由此可知,上述之測試結果大致良好。 《遮蔽材料的存在》 如上所述’本實施例之膜厚測定裝置1 00,主要根據 紅外線光域之反射率頻譜來測定待測物0Bj之膜厚,因 此’從測定用光源1 〇 (第1圖)到待測物0BJ的路徑上, 即使有遮蔽材料’如高分子樹脂,存在,亦可進行測定。 換言之’可見光光域之光雖然無法穿透高分子樹脂之材 48 201007117 料’但紅外線光域之光能夠穿透。In the block diagram, the CPU (10) reads out the program previously stored in the hard disk portion (10) or the like to the memory portion 212, and then executes it. The control structure related to the program type 5 shown in Fig. 19 is a configuration model portion 72U for the program type shown in Fig. u! In the related control structure, the modeled portion 721 is replaced. The modeled portion 721A receives the refractive index ηι and the fading name k" of the first layer and the refractive index n2 and the fading coefficient 第 of the second layer, and at the same time, the film thickness d of the first layer, the initial value and the second layer The film thickness d2 is known (the known value is further 'can also be input by the user, or the parameters can be saved in advance by broadcasting, etc., if necessary, read again. Again, = 44 201007117 can also be input The refractive index n of the atmosphere and the decay coefficient k〇. In addition, the 'modeled part 721A is updated according to the parameters of the matching part 722. 'For the orderly update of the first drawer latitude calendar』 i then according to the update After the d" is updated to show the function of the theoretical reflectivity. Further: the inverse H-wide 72U calculates the rationality _ reflectivity (spectrum) of each wavelength according to the updated function. According to this method, the ith layer It is determined by the law. The structure of the other mountains is described in detail above, and is not described here. Figure 20 is a flowchart showing the method of calculating the program according to the embodiment of the present invention. In the flow chart = the steps S11〇A, S118...(4), 12 Su 〇 s s s s 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于 关于In the meantime, the user inputs the refractive index ηι of the first layer of the object to be tested and the refractive index extension k of the second layer of the object to be tested and the refractive index n2 and the attenuation coefficient k2 of the second layer of the object to be tested, according to the displayed surface. '1 layer of heat I enters the initial value of the film thickness i of the first layer and the film thickness d2 of the second layer. In step S118A, the CPU 200 changes the film spread value of the first layer. In the case of the program type 5, only the film thickness of the second layer is suitable for the object. 1 is a match, in step S120A, when the calculated residual is at a predetermined threshold, the first will be The current value of the film thickness i of the layer is output as the medium thickness (analytical value) to be output. 45 201007117 Furthermore, similarly to the above-mentioned program type, the refractive index and the attenuation coefficient in consideration of wavelength dispersion can also be used. The function has been explained above and will not be described here. (6) Program pattern 6 Program pattern 6 ' is known as the film thickness of the layer, only the other The method applicable to the case of the film thickness is a modification of the above-mentioned program pattern 5. In the following description, the film thickness of the second layer of the object to be tested is known, and the film thickness of the first layer is determined by the matching method. Or Fourier transform decision. Fig. 21 is a block diagram showing a control structure for executing a film thickness calculation program related to the program type 6 according to an embodiment of the present invention. In the block diagram shown in Fig. 21, the CPU 200 The program stored in the hard disk portion 21, etc. is read out to the memory portion 212, and then executed. The control structure related to the program pattern 4 shown in Fig. 21 is configured with the matching portion 722A. In the control structure related to the program type 4 shown in FIG. 19, instead of the fitting portion 722, the wave number converting portion 73 is further increased by the buffer portion 732, the Fourier transform portion 733, and The crest explores part 734. m In other words, in this program type, the film thickness 1 of the 帛i layer of the object to be tested is determined by the fitting method, but when the fit cannot converge within a predetermined number of times, the Fourier transform is used to determine the first The film thickness of the layer is di. The adaptive portion 722A reads the measured value of the reflectance spectrum of the buffer portion 71, and then transmits the parameter update command to the modeled portion 72U, so that the measured value and the reflectance spectrum theory of the modeled portion 721A are rotated. The residual between the values is below the established threshold. Further, even if the matching portion 46 201007117 722A performs the calculation of the number of calls, if the residual cannot be below the predetermined threshold, the switching instruction is transmitted to the wave number conversion portion 731, and the Fourier transform is used to determine the second layer. The film thickness d]. Furthermore, with respect to the wave number conversion portion 731, the buffer portion 732, the Fourier transform portion 733, and the peak search portion 734, the program pattern 2 shown in Fig. 5 is described above, and the details are not described herein. . Fig. 22 is a flow chart showing the method of calculating the film thickness associated with the program type 6 according to the embodiment of the present invention. In the flowchart shown in Fig. 22, the step sm of the flowchart shown in Fig. 20 is added, and the steps S134 to sl4Qe of the flowchart shown in Fig. _ are added, and the other steps are denoted by the same symbols. This does not add capital. The following description differs from the first and second programs. Referring to Fig. 22, in step S117, cpu 2 determines whether or not the matching program has been repeated a predetermined number of times or more. When the fitting program is not repeated for a predetermined number of times or more (in the case of N0 in step S117), after the step su8 is executed, the program returns to step S112. On the other hand, if the appropriate program has been repeated for a predetermined number of times or more (in the case of YES in step sm), the program proceeds to step S134. In steps S134 to S140, the film thickness I of the second layer is determined by Fourier transform. The procedure for these steps has been described above and will not be described herein. <<Measurement Example>> Fig. 23 shows the measurement results of the film thickness of the substrate measured by the film thickness measuring device of the embodiment of the present invention. Furthermore, in Fig. 2, the power spectrum obtained after frequency conversion (FFT conversion) of the reflectance spectrum is shown in 47 201007117. Fig. 23(a) shows the measurement results of the SOI substrate in which the film thickness of the first Si layer is 22. 〇um, and the film thickness of the second Si 〇 2 layer is 3. Ομιη. In Fig. 23(a), the frequency conversion is performed using a component of the measured reflectance spectrum of 147 〇 nm to 16 〇〇 nm. As a result, the largest wave bee is generated at the position corresponding to 21. 8613 μηη. Fig. 23(b) shows the measurement results of the s〇i substrate in which the film thickness of the first Si layer is 32. Ομη, and the film thickness of the second Si 〇 2 layer is 2 〇. In Fig. 23(b), frequency conversion is performed using a composition of 15 〇〇 nm to 16 〇〇 nm in the measured reflectance spectrum. As a result, a maximum peak is generated at a position corresponding to 30. 6269um. Fig. 23(c) shows the measurement results of the s〇i substrate in which the film thickness of the first Si layer is 16. 〇um and the thickness of the second Si 〇2 layer is 13|jm. In Fig. 23(c), frequency conversion is performed using a composition of 14 〇〇 nm to 16 〇〇 nm in the measured reflectance spectrum. As a result, the maximum peak is generated at the position corresponding to 15.9069|Jin. From this, it can be seen that the above test results are generally good. <<Presence of Masking Material' As described above, the film thickness measuring apparatus 100 of the present embodiment mainly measures the film thickness of the object to be tested 0Bj based on the reflectance spectrum of the infrared light field, and therefore 'from the measuring light source 1 〇 (the first 1)) The path to the object to be tested 0BJ can be measured even if a masking material such as a polymer resin exists. In other words, although the light in the visible light region cannot penetrate the material of the polymer resin, the light in the infrared light field can penetrate.
第2 4圖係顯示利用本發明實施例之膜厚測定裝置1 〇 Q 來測定其上配置有不透明焊墊(pad)之待測物〇Bj之示意 圖。Fig. 24 is a view showing the measurement of the object to be tested 〇Bj on which the opaque pad is placed by using the film thickness measuring device 1 〇 Q of the embodiment of the present invention.
參考第24圖’平面狀之待測物〇BJ經由墊塊 (spacer),放置於載物臺50上’並將平面狀不透明焊墊 52配置於待測物〇BJ上面(測定光之照射側)。該不透明 焊墊52,係為用於研磨處理之研磨體,主要由高分子樹脂 形成。此一不透明焊墊52,其穿透量雖少,卻能夠讓紅外 線光域(舉例而言’ 900〜I600nm)之光穿透。 第25圖及第26圖,係顯示利用本發明實施例之膜厚 測定裝置100來測定其上配置有不透明焊墊52之s〇i基板 之測定結果圖。第25圖係顯示利用具有1〇倍倍率之放大 透鏡來作為接物鏡40 (第1圖及第24圖)之結果,而第 26圖係顯示利用具彳2,83倍倍率之放大透鏡來作為接物 鏡40 (第1圖及第24圖)之結果。 除此之外,於第25圖及第26圖中,為進行比較,亦 顯示沒有配置不透明焊墊5 2狀態下之結果。再者,需注意 各自的反射率頻譜之範圍(絕對值)並不相同。 μ 第27圖係顯示第25圖及第26圖所示之焊墊52,在 沒有被配置之狀態下,透過反射率頻譜所取得之功率 譜。第28圖係顯示第25圖及第26圖所示之淳墊μ,在 被配置之狀態下,透過反射率頻譜所取得之功率頻譜。 參考第25圖’利用具有1G倍倍率之放大透鏡^乍為 49 201007117 接物鏡40之情況下,不透明焊墊52存在時之結果,相較 於不透明焊墊52不存在時之結果,雜訊成分增加。 另一方面,參考第26圖,利用具有2. 83倍倍率之放 大透鏡來作為接物鏡4〇之情況下,不透明焊墊52存在時 之結果’與不透明焊墊52不存在時之結果大致相同,亦可 充份測定其周期性。 如第27圖及第28圖所示,利用具有2. 83倍倍率之放 大透鏡來作為接物鏡40之情況下,不論是否有不透明焊 塾’大致上得到相同之功率頻||。 參 對此,利用具有10倍倍率之放大透鏡來作為接物鏡4〇 之情況下,可知無法得到具有充份精確度之功率頻譜。這 是因為,隨著接物鏡40改變倍率,開口數亦會變化,而當 利用具有10倍倍率之放大透鏡5之情況下,擴散光會增 加,且雜訊成分增加。 如上所述,可利用本實施例之膜厚測定裝置1 〇 〇,對 配置有不透明焊墊52之待測物0BJ之膜厚進行測定。豆 中,對照射測定光之光學系統及接收反射光之光學系統而 言’需有能夠排除擴散光影響之設計。 《變形例》 亦可利用Y型光纖作為光學系統,用以對待測物〇bj 進行測定光之照射及反射光之接收。 第29圖係顯示依據本發明另一實施例之膜厚測定裝 置100#之光學系統結構圖。 參考第29圖,膜厚測定裝置100#作為光學系統,係 50 201007117 將測定用光源10 (第1圖)之測定光導往待測物0BJ,且 將待測物OBJ之反射光導往檢測部份64 (第i圖),並具 有投受光光纖56。 投受光光纖56為Y型光纖,可將兩光線結合成為單一 光線,同時可將單一光線分離為兩光線。更具體地,於一 實施例中,投受光光纖56係由鍺(Ge)摻雜(d〇pe)之單 線Y型光纖形成。 ❹ 測定用光源10 (第1圖)所產生之測定光,通過第一 分支光纖56a而入射至待測物〇BJ,待測物〇BJ反射後所 產生之反射光,通過第二分支光纖56b而被導往至檢測部 份64。 除此之外,投受光光纖56及待測物〇BJ之間,係配置 有作為光圈之針孔光學系統54。 利用第29圖所示之膜厚測定裝置丨〇〇#,即使將測物 OBJ配置於研磨液等之溶液中,亦可以測定其膜厚。 鲁 第30圖係顯示利用本發明另一實施例之膜厚測定裝 置100#來測定溶液中待測物〇BJ膜厚之示意圖。 參考第30圖,係將桌子57配置於容器内,然後將待 測物OBJ,經由墊塊,放置在桌子57上,該容器裝滿研磨 液等之溶液58。然後,投受光光纖56之投受光口侧之一 部份浸在溶液58中。以此架構,便能夠測定溶液中待測物 OBJ之膜厚。 再者,當溶液58以水作為溶媒時,上述之紅外線光域 ( 900〜1 600nm)中,進行膜厚測定時,最好利用已去除水 51 201007117 波長::長之光域。具體地’水中會吸收約132°nm以上之 波長先域,對於待測物_之膜厚敎而言,最好 之 〜132Onm範圍之反射光頻譜。 《其它實施例》 =明之程式,用以作為電腦作業系統(〇s) =被提供至程式模組中,亦可將必要之模: :式及時序呼叫後再執行相關程序。於此情況下, 上述模組,而是和作業系統合作執行相關程序。 此一模組之程式,亦可包含於本發明之程式中。 進-步,本發明之程式’亦可以編入 :本::情況:,上述其它程式包含之模組亦不包含於程 -其它程/疋和其匕程式合作執行相關程序。被編入此 其匕程式之程心亦可包含於本發明之程式中。 所提供之程式製品,被安裝 執行。再者程式儲存部份 憶媒體。程式製°口’係包括程式本身及記憶程式之記 亦可=用步’根據本發明程式所實現之—部份或全部功能 疋了由專用之硬體構成。 ,據本發明之實施例,將測定光照射在待測物後所取 射率頻谱(或者為穿透率頻譜) 成待測物各層之膛盾吐, 水掏立异出構 ⑴抓等之離散傅立葉轉換, 二1 _等最佳化之方法,用以算出主要之波數成 :厘進而決定膜厚之方法,⑵利用模型式之配適來決定 、之方法’能夠選擇性地執行。以此方式,即使構成待 52 201007117 測物之層數量很多、或各層之膜厚差距很大之情況下,也 能夠更正確地測定各層之膜厚。 除此之外,根據本發明之實施例,於作為測定對象之 待測物中,對應於構成待測物各層之臈厚,能夠適當地設 定測疋光之波長範圍(或者波長檢測範圍)及檢測部份之 波長解析度,從而能夠更正確地測定各層之膜厚。 本發明已如上詳細說明,但上述說明僅為範例,且本 鲁發明也不限於此,因此本發明之保護範圍當視後附之申請 專利範圍所界定者為準。 【圖式簡單說明】 第1圖係顯示依據本發明實施例之膜厚測定裝置之概 略架構圖。 第2圖係顯不作為本發明實施例之膜厚測定裝置之測 定對象的待測物剖面圖。 第3(a)〜(c)圖係顯示利用本發明實施例之膜厚測定裝 .置來測定SOI基板後之測定結果示意圖。 第4(a)、(b)圖係顯示利用本發明實施例之膜厚測定 裝置來測定SOI基板後之另一測定結果示意圖。 第5(a)、(b)圖係顯示利用本發明實施例之膜厚測定 裝置來測定SOI基板後之另一測定結果示意圖。 第6(a)〜(c)圖為一示意圖,用以說明依據本發明實施 例之膜厚測定範圍及檢測部份之檢測波長範圍,以及盘 測點數之關係。 第7(a)、(b)圖係顯示利用具有接近理論值之波長解 53 201007117 析度之膜厚測定裝置,其測定結果之模擬結果示意圖。 第8(a)、(b)圖係顯示利用具有波長解析度且其精 破度高於理論值兩倍之膜厚測定裝置,其測定結果之模擬 結果示意圖。 第9圖係顯示SOI基板相關之反射率頻譜的測定結果 示意圖。 第10圖係顯示依據本發明實施例之資料處理部份概 略硬體架構圖。Referring to Fig. 24, 'the planar object to be tested 〇BJ is placed on the stage 50 via a spacer' and the planar opaque pad 52 is placed on the object to be tested 〇BJ (measurement side of the light) ). The opaque pad 52 is an abrasive body used for polishing treatment and is mainly formed of a polymer resin. The opaque pad 52, which has a small amount of penetration, is capable of penetrating light in the infrared field (for example, '900 to I600 nm). Fig. 25 and Fig. 26 are views showing measurement results of the s〇i substrate on which the opaque pad 52 is placed by the film thickness measuring apparatus 100 of the embodiment of the present invention. Fig. 25 shows the result of using a magnifying lens having a magnification of 1 来 as the objective lens 40 (Figs. 1 and 24), and Fig. 26 showing the use of a magnifying lens having a magnification of 2, 83 times. The result of the objective lens 40 (Figs. 1 and 24). In addition, in Fig. 25 and Fig. 26, for comparison, the results in the state where the opaque pad 5 2 is not disposed are also shown. Furthermore, it should be noted that the range (absolute value) of the respective reflectance spectra is not the same. μ Fig. 27 shows the power spectrum obtained by transmitting the reflectance spectrum of the pad 52 shown in Figs. 25 and 26 without being disposed. Fig. 28 is a view showing the power spectrum obtained by transmitting the reflectance spectrum in the state in which the pad μ shown in Fig. 25 and Fig. 26 is arranged. Referring to Fig. 25, in the case where the magnifying lens having a 1G magnification is used as the 49 201007117 objective lens 40, as a result of the presence of the opaque pad 52, the noise component is compared with the result of the absence of the opaque pad 52. increase. On the other hand, referring to Fig. 26, in the case where the magnifying lens having a magnification of 2.83 times is used as the objective lens 4, the result of the presence of the opaque pad 52 is substantially the same as that when the opaque pad 52 is not present. , can also fully determine its periodicity. As shown in Figs. 27 and 28, in the case of using the magnifying lens having a magnification of 2.83 times as the objective lens 40, the same power frequency|| is substantially obtained regardless of whether or not the opaque solder 塾' is present. In the case where the magnifying lens having a magnification of 10 is used as the objective lens 4, it can be seen that a power spectrum having sufficient accuracy cannot be obtained. This is because, as the objective lens 40 changes the magnification, the number of openings also changes, and in the case of using the magnifying lens 5 having a magnification of 10, the diffused light is increased and the noise component is increased. As described above, the film thickness of the object to be tested 0BJ in which the opaque pad 52 is disposed can be measured by the film thickness measuring device 1 of the present embodiment. In the bean, the optical system for measuring the light and the optical system for receiving the reflected light need to have a design that can eliminate the influence of the diffused light. <<Modifications>> A Y-type optical fiber can also be used as an optical system for measuring the light to be measured and the reception of the reflected light. Fig. 29 is a view showing the configuration of an optical system of a film thickness measuring device 100# according to another embodiment of the present invention. Referring to Fig. 29, the film thickness measuring device 100# is an optical system, 50 201007117. The measuring light source of the measuring light source 10 (Fig. 1) is directed to the object to be tested 0BJ, and the reflected light of the object to be tested OBJ is guided to the detecting portion. 64 (figure i) and having an optical fiber 56. The light-receiving optical fiber 56 is a Y-type optical fiber, which combines two light rays into a single light, and simultaneously separates a single light into two light rays. More specifically, in one embodiment, the light-receiving optical fiber 56 is formed of a germanium (Ge) doped single-wire Y-type fiber.测定 The measurement light generated by the measurement light source 10 (Fig. 1) is incident on the object to be tested 〇BJ through the first branch fiber 56a, and the reflected light generated by the object 〇BJ is reflected, passes through the second branch fiber 56b. It is directed to the detection portion 64. In addition to this, between the light-receiving optical fiber 56 and the object to be tested 〇BJ, a pinhole optical system 54 as an aperture is disposed. According to the film thickness measuring device 丨〇〇# shown in Fig. 29, the film thickness can be measured even if the object OBJ is placed in a solution such as a polishing liquid. Fig. 30 is a view showing the film thickness of the test object 〇BJ in the solution by using the film thickness measuring device 100# of another embodiment of the present invention. Referring to Fig. 30, the table 57 is placed in a container, and then the object to be tested OBJ is placed on a table 57 via a spacer which is filled with a solution 58 of a polishing liquid or the like. Then, a portion of the light-receiving side of the light-receiving optical fiber 56 is immersed in the solution 58. With this structure, the film thickness of the analyte OBJ in the solution can be determined. Further, when the solution 58 is made of water as a solvent, when the film thickness is measured in the above-mentioned infrared light field (900 to 1 600 nm), it is preferable to use the wavelength of the wavelength of the water that has been removed 51 201007117:: long. Specifically, the water absorbs a wavelength of about 132 nm or more, and for the film thickness of the object to be tested, the spectrum of the reflected light is preferably in the range of ~132 nm. "Other Embodiments" = Ming program, used as a computer operating system (〇s) = is provided to the program module, and can also execute the relevant program after the necessary mode: : type and timing call. In this case, the above modules are executed in cooperation with the operating system. The program of this module can also be included in the program of the present invention. Further, the program of the present invention can also be programmed into: Ben:: Situation: The modules included in the above other programs are not included in the process - other programs/devices and their programs cooperate to execute related programs. The program incorporated into this program can also be included in the program of the present invention. The supplied program is installed and executed. In addition, the program saves part of the memory. The program port □ includes the program itself and the memory program. It can also be used to implement some or all of the functions of the program according to the present invention. According to the embodiment of the present invention, the spectrum of the rate of incidence (or the spectrum of the transmittance) after the measurement light is irradiated on the object to be tested is formed into a layer of the object to be tested, and the water layer is unfolded (1), etc. Discrete Fourier transform, two 1 _ and other optimization methods, to calculate the main wave number into: PCT and then determine the film thickness, (2) using the model of the fit to determine the method 'can be selectively executed . In this way, even if the number of layers constituting the object to be tested is 10,071,071, or the film thickness of each layer is large, the film thickness of each layer can be more accurately measured. In addition, according to the embodiment of the present invention, in the object to be measured as the object to be measured, the wavelength range (or the wavelength detection range) of the measurement light can be appropriately set corresponding to the thickness of each layer constituting the object to be tested. The wavelength resolution of the portion is detected, so that the film thickness of each layer can be more accurately measured. The present invention has been described in detail above, but the above description is only an example, and the present invention is not limited thereto, and the scope of the present invention is defined by the scope of the appended claims. BRIEF DESCRIPTION OF THE DRAWINGS Fig. 1 is a schematic block diagram showing a film thickness measuring apparatus according to an embodiment of the present invention. Fig. 2 is a cross-sectional view showing the object to be tested which is not a measurement target of the film thickness measuring device of the embodiment of the present invention. Figs. 3(a) to 3(c) are views showing the measurement results of the SOI substrate measured by the film thickness measuring apparatus according to the embodiment of the present invention. Figs. 4(a) and 4(b) are views showing another measurement result after measuring the SOI substrate by using the film thickness measuring apparatus of the embodiment of the present invention. Fig. 5 (a) and (b) are views showing another measurement result after measuring the SOI substrate by using the film thickness measuring apparatus of the embodiment of the present invention. Fig. 6(a) to (c) are diagrams for explaining the film thickness measurement range and the detection wavelength range of the detection portion and the relationship of the number of dots measured according to the embodiment of the present invention. Fig. 7(a) and (b) are diagrams showing the results of simulation of the measurement results using a film thickness measuring device having a wavelength resolution close to the theoretical value of 53 201007117. Fig. 8(a) and Fig. 8(b) are diagrams showing the results of simulation of the measurement results using a film thickness measuring device having a wavelength resolution and a degree of completeness higher than the theoretical value. Fig. 9 is a view showing the measurement results of the reflectance spectrum associated with the SOI substrate. Figure 10 is a schematic diagram showing an outline of a data processing portion of an embodiment of the present invention.
第11圖係顯示依據本發明實施例,用以執行與程序驾 樣1相關之膜厚算出程序之控制構造方塊圖。 f12圖係顯示依據本發明實施例之程序型態i相關戈 膜厚异出程序之方法流程圖。 後丄:3圖係顯示依據本發明實施例,用以執行與程心 樣2相關之膜厚算出程序之控制構造方塊圖。 膜厚顯示依據本發明實施例之程序型態2相. 膜知算出程序之方法流程圖。 ❹ μ m讀據本發明實施例,^ ^3 S之膜厚算出程序之控制構造方塊圖。 第16圖係顯示依據本發明實施例 膜厚算出程序之方法流程圖。 料型態3她 第17圖係顯示依據本發明實施例, 樣4相關之膜厚算出程序之控制構造方^執行與程序与 第18圖係顯示依據本發明實施例之 膜厚算出程序之方法流程^ 序型態4相關3 54 201007117 第1 9圖係顯示依據本發明實施例, 樣5相關之膜厚算出程序之控制構造方塊圖。灯/、 型 旗厚㈣示㈣本發时施例之料型態5相關之 膜厚算出耘序之方法流程圖。 第21圖係顯示依據本發明實施例,用 樣6相關之膜厚算出程序之控制構造方塊圖。灯、^ 膜厚系顯示依據本發明實施例之程序型態6相關之 膜厚异出程序之方法流程圖。 第23(a)~(c)圖係顯示利用本發明實施例之 裝置測定SOI基板膜厚之測定結果。 、‘ 測定顯示利用本發明實施例之膜厚測定裝置來 笛 不透明焊塾(pad)之待測物之示意圖。 :目,係顯不利用本發明實施例之膜厚測定裝置來 測疋其上配置有不透明焊塾之丨莫 ^ oc 蛩之S01基板之測定結果圖。 第26圖’係顯示利用本發 ❹ +赞月貫施例之膜厚測定 測定其上配置有不透明焊墊 衣罝求 咕n 之S〇1基板之測定結果圖。 第27圖係顯示第25圖及第26 11裕- 乐圖所不之焊墊,在々右 被配置之狀態下,透過反射率頻级 °曰所取得之功率頻譜。 第28圖係顯示第25圖及第26圖所_ 禾π圖所不之焊墊, 置之狀態下’透過反射率頻雄所在被配 千艿'日所取得之功率頻譜。 第29圖係顯示依據本發 置之光學系統結構圖。 實施例之膜厚測定裝 第3 0圖係顯示利用本發 另—實施例之膜厚測定穿 置來測定溶液中待測物膜厚之示意圖。 坪〜疋裝 55 201007117 【主要元件符號說明】 100〜膜厚測定裝置; 10~測定用光源; 14、66〜渡光鏡; 16、36〜成像透鏡; 20、30~分光鏡; 24 、 56 、 56a 、 56b 〜' 26〜射出部份; 32〜針孔反射鏡; 34〜軸轉換反射鏡; 39〜顯示部份; 5 0〜載物臺; 60〜分光測定部份; 5 4 ~針孔光學系統; 5 8溶液; 6 4〜檢測部份; 70〜資料處理部份; 204〜顯示部份; 208〜輸入部份; 216〜軟碟機; 214〜光碟驅動裝置; 210〜硬碟部份; 731〜波數轉換部份; 71、732〜緩衝器部份 12〜聚焦透鏡; 18〜光圈; 22〜觀察用光源; 纖; 26a〜遮罩部份; 3 2 a ~針孔; 38〜觀察用攝影機; 4 0 ~接物鏡; 51〜可動機構; 52〜烊墊; 57~桌子; 6 2 ~繞射光拇; 68〜快門; 206〜介面部份; 200〜CPU ; 216a〜軟碟; 214 a ~光碟; 212〜記憶體部份; 733〜傅立葉轉換部份;Figure 11 is a block diagram showing the control structure for executing the film thickness calculation program associated with the program sample 1 according to an embodiment of the present invention. The f12 diagram shows a flow chart of a method for the program type i correlation film thickness deviation procedure according to an embodiment of the present invention. Rear view: Fig. 3 is a block diagram showing a control structure for executing a film thickness calculation program relating to the circumstance 2 according to an embodiment of the present invention. The film thickness shows a flow chart of the method for calculating the program according to the program type 2 phase according to the embodiment of the present invention. ❹ μ m Read the block diagram of the control structure of the film thickness calculation program of ^^3 S according to the embodiment of the present invention. Figure 16 is a flow chart showing the method of calculating the film thickness in accordance with an embodiment of the present invention. Material Pattern 3, FIG. 17 shows a method for controlling the film thickness calculation program according to the embodiment of the present invention, according to an embodiment of the present invention, a control structure of the film thickness calculation program according to the sample 4, and a program and an 18th figure. Flow Pattern 4 Correlation 3 54 201007117 Fig. 19 is a block diagram showing the control structure of the film thickness calculation program according to the embodiment of the present invention. Lamp/, type Flag thickness (4) shows (4) Flow chart of the method for calculating the film thickness associated with the material type 5 of the application at the time of this issue. Fig. 21 is a block diagram showing the control structure of the film thickness calculation program relating to the sample 6 according to the embodiment of the present invention. The lamp, film thickness is a flow chart showing the method of the film thickness exclusion procedure according to the procedural type 6 of the embodiment of the present invention. Fig. 23 (a) to (c) show the measurement results of the film thickness of the SOI substrate measured by the apparatus of the embodiment of the present invention. , 'The measurement shows a schematic diagram of the object to be tested using the film thickness measuring device of the embodiment of the present invention to etch the opaque pad. The measurement result of the S01 substrate on which the opaque solder enamel is disposed is not measured by the film thickness measuring apparatus of the embodiment of the present invention. Fig. 26 is a graph showing the measurement results of the S〇1 substrate on which the opaque pad coat 咕n is placed by the film thickness measurement of the present invention. Figure 27 shows the power spectrum obtained by the reflectance frequency level 第 in the state where the 焊 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图 图Figure 28 shows the power spectrum obtained by the 反射 图 图 , , , , , , , 透过 透过 透过 透过 透过 透过 透过 透过 透过 透过 透过 透过 透过 透过 透过 透过 透过 透过 透过 透过 透过 透过 功率 功率 功率 功率 功率 功率 功率 功率 功率 功率 功率Figure 29 is a view showing the structure of an optical system according to the present invention. Film Thickness Measuring Apparatus of the Example Fig. 30 is a view showing the measurement of the film thickness of the test object in the solution by the film thickness measuring penetration of the present invention.坪~疋装55 201007117 [Description of main components] 100~ film thickness measuring device; 10~ measuring light source; 14, 66~ directional mirror; 16, 36~ imaging lens; 20, 30~ beam splitter; 24, 56 , 56a , 56b ~ ' 26 ~ injection part ; 32 ~ pinhole mirror ; 34 ~ axis conversion mirror ; 39 ~ display part ; 5 0 ~ stage ; 60 ~ spectrometry part ; 5 4 ~ needle Hole optical system; 5 8 solution; 6 4~ detection part; 70~ data processing part; 204~ display part; 208~ input part; 216~ floppy disk drive; 214~ CD drive device; 210~ hard disk Part; 731~wavenumber conversion section; 71, 732~buffer section 12~focusing lens; 18~ aperture; 22~ observation light source; fiber; 26a~mask part; 3 2 a ~ pinhole; 38~ observation camera; 4 0 ~ objective lens; 51~ movable mechanism; 52~烊 pad; 57~ table; 6 2 ~ diffracted light thumb; 68~ shutter; 206~ interface part; 200~CPU; 216a~soft Disc; 214 a ~ disc; 212 ~ memory part; 733 ~ Fourier transform part;
56 201007117 734〜波峰探索部份; 721、 721A、735、742〜模型化部份; 722、 722A、736、749、751 〜配適部份; 741〜最佳化演算部份; AX1 ' AX2、AX3、AX4〜光軸;及 OBJ〜待測物。56 201007117 734~Crest exploration part; 721, 721A, 735, 742~ modeled part; 722, 722A, 736, 749, 751 ~ fitting part; 741~optimized calculation part; AX1 ' AX2 AX3, AX4~ optical axis; and OBJ~ test object.
5757
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| TWI614092B (en) * | 2014-09-17 | 2018-02-11 | 荏原製作所股份有限公司 | Film thickness signal processing device, polishing device, film thickness signal processing method, and polishing method |
| TWI661174B (en) * | 2015-04-08 | 2019-06-01 | 日商荏原製作所股份有限公司 | Film thickness measurement method, film thickness measurement device, polishing method, and polishing device |
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| TWI603053B (en) * | 2012-09-11 | 2017-10-21 | 大塚電子股份有限公司 | Method for measuring an film thickness measurement apparatus |
| TWI614092B (en) * | 2014-09-17 | 2018-02-11 | 荏原製作所股份有限公司 | Film thickness signal processing device, polishing device, film thickness signal processing method, and polishing method |
| TWI661174B (en) * | 2015-04-08 | 2019-06-01 | 日商荏原製作所股份有限公司 | Film thickness measurement method, film thickness measurement device, polishing method, and polishing device |
| TWI548875B (en) * | 2015-06-11 | 2016-09-11 | Landrex Technologies Co Ltd | Optical needle detection system and method |
| TWI834725B (en) * | 2018-09-21 | 2024-03-11 | 日商迪思科股份有限公司 | Thickness measuring device and grinding device equipped with thickness measuring device |
Also Published As
| Publication number | Publication date |
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| JP5309359B2 (en) | 2013-10-09 |
| KR101582357B1 (en) | 2016-01-04 |
| TWI454654B (en) | 2014-10-01 |
| JP2010002327A (en) | 2010-01-07 |
| KR20090132537A (en) | 2009-12-30 |
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