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TW201007116A - Film thickness measuring apparatus - Google Patents

Film thickness measuring apparatus Download PDF

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Publication number
TW201007116A
TW201007116A TW098115659A TW98115659A TW201007116A TW 201007116 A TW201007116 A TW 201007116A TW 098115659 A TW098115659 A TW 098115659A TW 98115659 A TW98115659 A TW 98115659A TW 201007116 A TW201007116 A TW 201007116A
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TW
Taiwan
Prior art keywords
film thickness
layer
wavelength
light
tested
Prior art date
Application number
TW098115659A
Other languages
Chinese (zh)
Inventor
Tadayoshi Fujimori
Yoshimi Sawamura
Original Assignee
Otsuka Denshi Kk
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Otsuka Denshi Kk filed Critical Otsuka Denshi Kk
Publication of TW201007116A publication Critical patent/TW201007116A/en

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Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/02Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness
    • G01B11/06Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness for measuring thickness ; e.g. of sheet material
    • G01B11/0616Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness for measuring thickness ; e.g. of sheet material of coating
    • G01B11/0625Measuring 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
    • H10P72/0604

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Length Measuring Devices By Optical Means (AREA)

Abstract

The present invention provides a film thickness measuring apparatus, wherein cycle of reflectivity waveform of the object under test becomes longer if a longer wavelength of measuring light is used. Array elements of InGaAs are configured with equal interval in terms wavelength, thus, when the wave number decreases, the configured interval of the array elements corresponding to the wave number gets larger. In order to correctly sample the reflectivity waveform which corresponds to the wave number and varies with a preset cycle, configuration interval of the array elements (i.e. wavelength resolution Δλ) must satisfy the Nyquist sampling theorem. By satisfying the sampling theorem, the upper bound dmax of the measurement range in film thickness is determined.

Description

201007116 四、 指定代表圖: (一) 本案指定代表圖為:第(6)圖。 (二) 本代表圖之元件符號簡單說明: 64〜檢測部份。 五、 ^案若有化學式時,請揭示最能顯示發曰月特徵的化學式 六、發明說明: 測定裝置及膜厚測定方法,特別 具有複數層之待測物之膜厚測定 【發明所屬之技術領域】 本發明係有關於膜厚 是有關於形成於基板上, 架構及方法。 【先前技術】 近年來,為使互補金氧半導體(c〇mplemenhry oxide Semiconduct〇r,CM〇s)電路等達到低耗電力及高速 化,使得絕緣層上覆矽(silicon 〇n insulat〇r,s〇i)之基 板結構倍夂注目。該s〇I基板,係於兩個矽ic〇n,) 基板間配置二氧化矽(Si〇2)等絕緣層(Β〇χ層),使得形成於 其中一矽層之ΡΝ接合面,與另一矽層(基板)間所產生之寄 生二極體(diode)及靜電容量等能夠被減少。 習知上’此一 SOI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 201007116 將該酸化膜爽於之p, 沧 血 之間進—步’將形成電路元件之梦晶圓 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 監測膜厚。於日本專利特開平G5_寫㈣號公報及特開平 。5,觀號公報中,係揭露此一研磨工程之膜厚測定方 法,即利用傅立葉轉換紅外分光光度計(F⑽心 transform infrared spectr〇sc〇py,FTIR)之方法。另外, 於日本專利特開2G()5 —i 992G號公報中,係揭露利用分散型 多頻道分光器測定反射頻譜(spectrum)之方法。 除此之外,於曰本專利特開平1〇_125634號公報中, 係揭露-種敎方法,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 :露將波…m(微米)以上之紅外線朝石夕薄膜表面照 ’然後以石夕薄膜表面反射光及梦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2〇〇3_1141〇7號公報中係 =露種將紅外線作為測定光使用之光干涉式膜厚測定裝 置0 然而’於曰本專利特開平〇5_3〇691〇號公報及特開平 5-3_96號公報所揭露之膜厚測定方法中,並無法測定 ^為基準之樣本的膜厚相對值’因而無法測定膜厚之絕對 另外’於曰本專利特開2005-1 "20號公報所揭露之測 3 201007116 定方法中’係假設折射率不取決於波長而 據自我迴歸模型(1„0(161)來進行周期推定,然 並根 射率具有波長相依性,所以無法排除 際之折 之誤罢。士从 Q ^ * 、孩波長相依性 '此外,日本專利特開2003_114107號公報 之測定方法亦具有同樣問題。 露 :外,於曰本專利特開讀_2職號公報所揭露之 測疋方法巾,需於敎對象之樣本上形成貫 以非破壞之方式連續地測定膜厚。 73…、法 【發明内容】 為解決此-問題,本發明之目的,在^ 裝置及膜厚測定方法’用以敎具有更高精確度之膜厚, 本發明之膜厚測定裝置’包括光源,將具有既定波長 範圍之敎光,照b在基板上形成至少—層以上之待測 物;分光測定部份,根撼爲:细丨& # s U , 很據苻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;及決定 單元,根據波數分佈特性所包括之振幅值的大波數成分, 用以決定構成待測物之各層膜厚。分光測定部份可用波長 解析度Μ檢測包含於既定波長範圍之下限波長U盘上 限波長Wi的波長分佈特性。分光測 …與表示膜厚測定裝置可能測定之膜厚最長= &nax、及上限波長七nax之對象層折射率巧^狀滿足下列 之關係式: . 201007116 . * " Δ;ί 幺 Amax 2 /2(乂繼 + 2 . «祖.ί/顏) 更好地,分光測定部份之下限波長jlmin,與膜厚測定 裝置可能測定之膜厚最小值,滿足下列之關係式: ^min - ^min * ^max /^(^max * ^min ~ 义min * Wmax ) 其中,wmin為下限波長&iin之對象層折射率。 更好地,使用係數α (0<α; $ n,使波長解析度Δ;ι滿 如下列關係式: • ΔΑ < a X λ 2 /ΐ(λ + 2 · w rl 、 零 max /^V^max «max ' Ctmax ) 更好地’係數α未滿1 / 2。 根據本發明,能夠測定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僅, 下文特舉-較佳實施例,並配合所附圖式,作詳細說明如 下。201007116 IV. Designation of the representative representative: (1) The representative representative of the case is: figure (6). (2) A brief description of the component symbols of this representative figure: 64~ detection part. 5. If there is a chemical formula, please disclose the chemical formula that best shows the characteristics of the hairpin. Description of the invention: Measuring device and film thickness measuring method, especially the film thickness of the test object with multiple layers [Technology of the invention] FIELD OF THE INVENTION The present invention relates to film thicknesses that are formed on substrates, structures and methods. [Prior Art] In recent years, in order to achieve low power consumption and high speed in a complementary metal oxide semiconductor (c〇mplemenhry oxide Semiconduct〇r, CM〇s) circuit, the insulating layer is covered with silicon (silicon 〇n insulat〇r, The substrate structure of s〇i) is noticed. The s〇I substrate is connected to two 矽ic〇n,) an insulating layer (germanium layer) such as cerium oxide (Si〇2) is disposed between the substrates, so that a germanium joint surface formed in one of the germanium layers is The parasitic diode (diode) and electrostatic capacitance generated between the other layer (substrate) can be reduced. Conventionally, the manufacturing method of the SOI substrate is formed by forming an acidified film on the surface of a silicon wafer, and adhering to other germanium wafers to refresh the acidified film in 201007116, and between the blood and the blood- Step 'grinding the dream wafer forming the circuit component to a predetermined thickness. According to this polishing process, in order to control the thickness of the germanium wafer, the film thickness needs to be continuously monitored. Japanese Patent Special Opened G5_Write (4) and special Kaiping. 5. In the observation bulletin, a method for measuring the film thickness of the polishing process, that is, a method using a Fourier transform infrared spectrophotometer (F(10) core transform infrared spectr〇sc〇py, FTIR) is disclosed. Further, a method of measuring a reflection spectrum by a dispersion type multi-channel spectroscope is disclosed in Japanese Laid-Open Patent Publication No. 2G() No. 5-992G. In the above-mentioned Japanese Patent Application Laid-Open No. Hei No. Hei. No. Hei. Further, in the Japanese Patent Laid-Open Publication No. 2-221-2842, the infrared rays above the wavelength of m (micrometer) are irradiated toward the surface of the stone film, and then the light reflected from the surface of the stone film and the interference light reflected in the dream film are interfering. The results are based on the method for measuring the film thickness of the film. Further, in Japanese Patent Laid-Open Publication No. 2〇〇3_1141〇7, the light interference type film thickness measuring device using infrared rays as the measuring light is used. However, the Japanese Patent Application No. 5_3〇691〇 In the film thickness measuring method disclosed in Japanese Laid-Open Patent Publication No. Hei 5-3-96, the film thickness relative value of the sample based on the standard cannot be measured, and thus the film thickness cannot be measured absolutely. "Measurement disclosed in the 20th bulletin 201007116 In the method of determining 'the refractive index does not depend on the wavelength and the period is estimated according to the self-regressive model (1„0(161), and the rooting rate has wavelength dependence, Therefore, it is impossible to rule out the mistakes of the fold. From the Q ^ *, the child wavelength dependence' In addition, the measurement method of the Japanese Patent Laid-Open No. 2003_114107 has the same problem. In the test method towel disclosed in the 2nd bulletin, it is necessary to continuously measure the film thickness in a non-destructive manner on the sample of the target object. 73..., method [Summary of the Invention] To solve this problem, the object of the present invention In ^ The film thickness measuring method 'is used for film thickness with higher precision, and the film thickness measuring device of the present invention includes a light source, which has a predetermined wavelength range of light, and b forms at least a layer or more on the substrate. The object to be tested; the spectroscopic part, the root enthalpy is: fine 丨 &# s U , according to the light reflected by the object or the light penetrating the object to be tested 'to obtain the wavelength of reflectivity or transmittance The distribution characteristic; and the determining unit, according to the large wave number component of the amplitude value included in the wave number distribution characteristic, is used to determine the film thickness of each layer constituting the object to be tested. The spectrometry portion can be detected by the wavelength resolution 包含 included in the predetermined wavelength range. The wavelength distribution characteristic of the upper limit wavelength Wi of the lower limit wavelength U disk. The spectroscopic measurement and the thickness of the target layer which may be measured by the film thickness measuring device are the longest = & nax, and the upper limit wavelength of seven nax is satisfied. : 201007116 . * "Δ;ί 幺Amax 2 /2(乂继+ 2 . «祖.ί/颜) Better, the lower limit wavelength jlmin of the spectrometric part, and the film that may be measured by the film thickness measuring device Thick minimum, satisfying the following Relation: ^min - ^min * ^max /^(^max * ^min ~ meaning min * Wmax ) where wmin is the lower limit wavelength & ii of the target layer refractive index. More preferably, the coefficient α (0<α; $ n, so that the wavelength resolution Δ; ι is as follows: • ΔΑ < a X λ 2 /ΐ(λ + 2 · w rl , zero max /^V^max «max ' Ctmax ) Better The ground 'coefficient α is less than 1 / 2. According to the present invention, it is possible to measure the film thickness of the test object having higher accuracy. The above described objects, features, and advantages of the invention will be apparent from the description and appended claims appended claims

【實施方式】 下文係配合圖示說明本發明之較佳實施方式。此外[Embodiment] Hereinafter, preferred embodiments of the present invention will be described with reference to the drawings. In addition

::文之圖示中,相同或類似之元件係以相同或類似之 號表示之,並省略重複之說明。 《裝置架構》 第1圖係顯示依據本發明實施例 之概略架構圖。 之膜厚測定裝置 100 本實施例之膜厚測定裝 之待測物而言,通常可用以 置100,對於單層或積層結構 洌定其各層之獏厚。本實施例 5 201007116 之膜厚測定裝置100特別適用 〜ΙΟΟΟμιη)待測物之膜厚測定 於具有較厚大層(通常為2μιη 署…,膜厚測定裝置1〇°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⑽)』),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—實施例中待測物 為具有像是矽(Si)基板、玻璃基板、及藍寶石(sapphire) 基板等較厚基板單體,及SOI基板這樣的積層結構之基 板。特別地,本實施例之膜厚測定裝置丨〇〇適合用以測定 切削研磨後之矽基板膜厚、SOI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100包括測定用光源10、 聚焦透鏡(collimating lens)12 ' 滤光鏡(cutting filter)14、成像透鏡16及36、光圈18、分光鏡(beam splitt_er)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、軸轉換反射鏡34、 觀察用攝影機(camera)38、顯示部份39、及資料處理部份 201007116 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)〜16〇〇nm、或者 147〇nm〜i 600nm)之光源。通常會用齒素燈泡(Hai〇gen lamp)來作為測定用光源1〇。 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1G及分光鏡3()之光轴mIn the drawings, the same or similar elements are denoted by the same or like numerals, and the repeated description is omitted. <<Device Architecture>> Fig. 1 is a schematic block diagram showing an embodiment of the present invention. Film Thickness Measuring Apparatus 100 The film thickness measuring apparatus of the present embodiment is generally used in the case of a test object, and the thickness of each layer is determined for a single layer or a laminated structure. In the fifth embodiment, the film thickness measuring device 100 of 201007116 is particularly suitable for measuring the film thickness of the test object in a thick layer (usually 2 μm..., the film thickness measuring device 1 〇 is a microscopic spectroscopic measuring device) The light is irradiated onto the object to be tested, and the film thickness of each layer constituting the object to be tested can be measured according to the wavelength distribution characteristic of the reflected light reflected by the object to be tested (hereinafter also referred to as "spectrum (10)). Further, the measurement is not limited to 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. Progress can also use the spectrum of the light that penetrates the object under test (the spectrum of the transmitted light) to replace 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 the embodiment, the object to be tested is a substrate having a laminated structure such as a thick substrate of a bismuth (Si) substrate, a glass substrate, and a sapphire substrate, and an SOI substrate. In particular, the film thickness measuring device 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 SOI substrate, and chemical mechanical polishing (CMP). The thickness of the substrate is the thickness of the substrate. Referring to Fig. 1, the film thickness measuring apparatus 100 includes a measuring light source 10, a collimating lens 12' cutting filter 14, imaging lenses 16 and 36, a diaphragm 18, and a beam splitter (20). 30. Observation light source 22, optical fiber 24, injection portion 26, pinhole mirror 32, axis conversion mirror 34, camera 38, display portion 39, and data processing portion 201007116 In order to obtain the reflectance spectrum of the test object, the light source for measurement is used to generate a light source having a predetermined wavelength range, and particularly has a wavelength component in the infrared light field (for example, 900 nm (nano) to 16 A light source of 〇〇nm, or 147〇nm~i 600nm). A Hierogen 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 m for connecting the measurement light source 1G and the beam splitter 3 ().

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1〇之測定光一 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12之測定光入射至濾光鏡14。 濾光鏡14用以遮斷測定光中不需要之波長成分。濾光鏡 Η通常由沉積於玻璃基板等之多層膜所形成。為調整測定 2 =光束(beam)直徑,成像透鏡16將通過濾光鏡14之測 定光從平行光線轉換為會聚光線。通過成像透鏡16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30。更好地,係根據成像透鏡16所轉 換之測定光成像位置來配置光圈18。再者,適當地設定光 圈18之光圈量,用以對應於入射至待測物之測定光景深及 必要之光強度等。 鐾/另方面,觀察用光源22為產生觀察光之光源,用以 户待、則物進行對焦及確認測定位置。且選擇觀察用光源Μ 、生之觀察光,使其包含待測物可能反射之波長。觀察 光源22經由光纖24連接於射出部份26,使得觀察用光 7 201007116 源22所產生之觀察光,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。 射出部份26包括遮罩部份26a,用以遮罩觀察用光源 22所產生之冑伤觀察光’使既定之觀察基準影像投射於 待測物。對表面沒有㈣圖案(patten〇形成之待測物(一 般為透明之玻璃基板等)而言,該觀察基準影像也易於進行 對焦。再者,可使用任何形狀之倍縮光罩(如士),像是 能夠使用同心圓形及十字形之圖案等。 換言之,於觀察用光源22所產生觀察光之光束斷面 中,其光強度(光量)約為一致,而_部份觀察光被遮罩部 份26a遮罩(遮蔽)後,會使得觀察光於其光束斷面上形成 光強度約為零之區域(陰影區域)°該陰影區域作為觀察基 準影像投射於待測物。 載物臺50為放置待測物之樣本臺,且其放置面為平 坦。舉例而言’該載物臺50為機械性連結之可動機構”, 可沿著三個方向()[方向、γ方向及z方向)自由地被驅動。 可動機構51冑常由三轴伺服馬達及用以驅動各祠服馬達 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。根據該载物臺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30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 分光鏡30反射測定用光源1〇所產生之測定光用以 201007116 ••將其傳播方向轉換為朝著光轴AX1之紙面下方。此外,分 光鏡30讓朝著光轴Αχι之紙面上方傳播之待測物反射光穿 透。 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40的光學路徑上,用以 .將觀察光注入既定位置。於該分光鏡20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4〇〇 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,用以將朝著光軸Αχι之紙 面下方傳播之測定光及觀察光進行集光。意即,接物鏡4〇 • 會聚測定光及觀察光,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、 30倍、40倍等)之放大透鏡。因此,相較於入射至接物鏡 40之光束斷面,此一放大透鏡能夠使測定光光學特性之測 疋區域達到微小化。 除此之外,通過接物鏡40而入射至待測物之測定光及 觀察光,經過待測物之反射,朝著光轴Αχι之紙面上方傳 播。該反射光穿透接物鏡40後,接著穿透分光鏡3〇到連 針孔反射鏡32。 201007116 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 著光袖AX1之紙面上方傳播之反射光’並於該反射面及光 軸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32係被配置, 用以使測疋光及觀察光分別與經待測物反射所產生之測 瘳 疋反射光及觀察反射光之成像位置一致。此一架構下,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 至轴轉換反射鏡34。 分光測定部份6〇,係用以測定通過針孔反射鏡32之 測定反射光的反射率頻譜’並將測定結果輸出至資料處理 部份70 °更詳細地,分光測定部份60包括繞射光柵 (忍^1:1叩)62、檢測部份64、濾光鏡66及快門(311111^61〇68。 濾'光鏡66、快門68及繞射光栅62係被配置於光袖Αχι 上。遽光鏡66為光學遽光鏡,針對通過針孔32a人射至分 光測&amp;部I 60 &lt;測定反射光,用以限制其所含之測定範圍 外的波長成分’特別是用以遮斷測定範圍外的波長成分。 於重置(reset)檢剛部份64時等情況下,快門68用以遮斷 入射至檢測邛份64之光線。快門68通常由電磁力驅動之 機械式快門組成。 10 201007116 繞射光柵彳定反射光進行 分光波導往檢測部㈣。具體而言,繞射光…反射 型繞射光栅’以既定之波長間隔,將每-繞射波反射至對 應方向具有此架構之繞射光栅62中’當敎反射波入 射時,將其所含之各波長成分反射至對應方向,然後入射 至檢測部份64之⑽檢測區域中。再者,該波長間隔相當The measurement light emitted from the measurement light source 1 is optically adjusted. Specifically, the focus lens 12 is an optical light at which the measurement light of the measurement light source 1 is initially incident, and the measurement light that propagates as the diffusion light is refracted into parallel light. The measurement light that has passed through the focus lens 12 is incident on the filter 14. The filter 14 is for blocking unwanted wavelength components in the measurement light. The filter Η is usually formed of a multilayer film deposited on a glass substrate or the like. To adjust the measurement 2 = beam diameter, the imaging lens 16 converts the measured light passing through the filter 14 from parallel rays to concentrated rays. The light passing through the imaging lens 16 is incident on the diaphragm 18. The aperture 18 adjusts the amount of light of the measurement light to a predetermined amount for emission to the beam splitter 30. More preferably, the aperture 18 is arranged in accordance with the measured light imaging position converted by the imaging lens 16. Further, the aperture amount of the diaphragm 18 is appropriately set to correspond to the depth of field of the incident light incident to the object to be tested, the necessary light intensity, and the like. In other respects, the observation light source 22 is a light source for generating observation light, and is used for households to focus and confirm the measurement position. And select the observation source Μ, the raw observation light to include the wavelength that the object to be tested may reflect. The observation light source 22 is connected to the emission portion 26 via the optical fiber 24 so that the observation light generated by the observation light source 7 201007116 is propagated through the optical fiber 24 as the optical waveguide, and then emitted from the emission portion 26 toward the spectroscopic mirror 2. The injection portion 26 includes a mask portion 26a for masking the flaw observation light generated by the observation light source 22 to project a predetermined observation reference image onto the object to be tested. The observation reference image is also easy to focus on the surface without the (four) pattern (the material to be tested (usually a transparent glass substrate, etc.). Further, any shape of the reticle can be used. For example, a concentric circular shape and a cross-shaped pattern can be used. In other words, in the beam cross section of the observation light generated by the observation light source 22, the light intensity (light amount) is approximately the same, and the _ partial observation light is obscured. After the mask portion 26a is masked (shaded), the observation light forms an area (shaded area) where the light intensity is about zero on the beam section. The shadow area is projected as an observation reference image on the object to be tested. 50 is a sample stage on which the object to be tested is placed, and its placement surface is flat. For example, 'the stage 50 is a mechanically coupled movable mechanism', which can be in three directions () [direction, γ direction, and z The direction is freely driven. The movable mechanism 51 is usually composed of a three-axis servo motor and a servo driver for driving each of the servo motors. Further, the movable mechanism 51 is driven by a user or a control device not shown. use In response to the command of the position of the stage, the driving relationship of the stage 50 is used to change the positional relationship between the object to be tested and the objective lens 40 to be described later. The objective lens 40, the beam splitter 30 and the pinhole mirror 32 are used. The light beam splitter 30 disposed in the direction perpendicular to the flat surface of the stage 50 reflects the measurement light generated by the measurement light source 1 for 201007116. • The direction of propagation is converted to the lower side of the paper surface toward the optical axis AX1. Further, the dichroic mirror 30 transmits the reflected light of the object to be detected which propagates over the plane of the optical axis. On the other hand, the spectroscope 20 reflects the observation light generated by the observation light source 22, and converts the propagation direction into To the right of the paper surface of the optical axis Αχ2, that is, the beam splitter 30 has a function of a light injection portion, from the measuring light source 10 to the optical path of the objective lens 40 of the collecting optical system, for viewing light. The measurement light and the observation light synthesized by the beam splitter 20 are reflected by the spectroscope 30 and then incident on the objective lens 4, in particular, since the measurement light has a wavelength component of an infrared light field, and the observation light has can Seeing the wavelength component of the optical region, the spectroscopes 20 and 30 are capable of maintaining the target value of the transmission/reflection characteristics from the visible light to the infrared region. The objective lens 40 is a collecting optical system for moving toward The measuring light and the observation light propagating below the optical axis of the optical axis are collected, that is, the objective lens 4 会 converges the measuring light and the observation light for imaging on the object to be tested or its adjacent position. In addition, the objective lens 40 is attached. It is a magnifying lens having a predetermined magnification (for example, 1 〇, 2 〇, 30 倍, 40 倍, etc.). Therefore, the magnifying lens can make optical properties of the measuring light compared to the beam section incident on the objective lens 40. In addition, the measurement light and the observation light incident on the object to be tested through the objective lens 40 are reflected by the object to be tested, and propagate toward the upper side of the optical axis. After the reflected light passes through the objective lens 40, it is then passed through the beam splitter 3 to the pinhole mirror 32. 201007116 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 toward the upper side of the paper sleeve 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 after the measurement light of the measuring light source 10 is reflected by the object to be tested is smaller than the diameter of the beam at the position of the pinhole mirror 32, and the diameter of the pinhole 32a formed becomes smaller. . In addition, the pinhole mirror 32 is configured to make the measurement light and the observation light coincide with the imaging position of the reflected light reflected by the object to be detected and the reflected light. In this configuration, the reflected light generated by the object to be tested is incident on the spectrometry unit 60 through the pinhole 32a. On the other hand, the propagation direction of the remaining reflected light is converted to be incident on the axis conversion mirror 34. The spectrometry portion 6 is used to measure the reflectance spectrum of the reflected light measured by the pinhole mirror 32 and output the measurement result to the data processing portion 70 °. In more detail, the spectroscopic portion 60 includes diffraction The grating (forbearance 1:1 叩) 62, the detecting portion 64, the filter 66 and the shutter (311111^61〇68. The filter 'light mirror 66, the shutter 68 and the diffraction grating 62 are arranged on the light sleeve Αχι The calender mirror 66 is an optical boring mirror for detecting the reflected light outside the measurement range contained by the person through the pinhole 32a to the spectrophotometry &amp; I 60 &lt; The wavelength component outside the measurement range is blocked. When the reset portion 64 is reset or the like, the shutter 68 is used to block the light incident on the detection port 64. The shutter 68 is usually driven by electromagnetic force. Shutter composition 10 201007116 The diffraction grating determines the reflected light to perform the splitting waveguide to the detecting portion (4). Specifically, the diffracted light ... the reflective diffraction grating 'reflects each of the diffracted waves to a corresponding direction at a predetermined wavelength interval In this scheme, the diffraction grating 62 When the ingredients contained in the respective wavelength is reflected to a corresponding direction, and then enters into the detecting portion 64. ⑽ detection area. Furthermore, the wavelength interval rather

於分光_部份6〇之波長解析度。繞射光栅62通常由淺 焦(flat f0cus)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 光度之坤化銦鎵(indium galUum arsenide,W似陣列 組成。 資料處理部们〇對檢測部# 64絲得之反射率頻譜 進打本發明相關之特徵性程序,用以測定構成待測物各層 _之膜厚。再者,資料處理部份7Q亦可用以解析待測物各層 之反射率及層構造。進-步,關於此一程序將詳細說明如 下。之後,資料處理部份70輪出以測定待測物膜厚為首之 光學特性。 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,之後入射至軸轉換反射鏡34。觀察反射光之 傳播從光轴AX3轉換至光軸Αχ4。如此一來,觀察反射光 沿著光轴ΑΧ4傳播,然後入射至觀察用攝影機38。 觀察用攝影機38為取像部份,用以由觀察反射光取得 11 201007116 反射影像’通常由電荷搞合元件(charged-coupled device, -CCD)及互補金氧半導體(compiementary metal oxide semiconductor, CMOS)感測器(sensor)組成。再者,觀察 用攝影機38通常具有可見光光域感光度,且多數情況下, 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自觀察反射光取得之反射 影像後’將對應之視頻信號輸出至顯示部份39。顯示部份 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 參 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(liquid crystal display,LCD)組成。再者,亦 可設置取景器(finder),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。 《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杳。 第2圖係顯示作為本發明實施例之膜厚測定裝置ι〇〇 之測定對象的待測物〇Bj剖面圖。 參考第2圖,係以SO I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(s丨)層1、基 板(base)石夕層3(基板層)、及兩者甲間之二氧化矽(Si〇〇 層2(BOX層)。進一步,將膜厚測定裝置ι〇〇之照射光從紙 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。 12 201007116 為了容易理解,接著考慮入射至待測物〇BJ之測定 光,經由Si層1及Si Oh層2之界面反射後所產生之反射 光。於以下之說明中’利用i來表示各層。意即,以『〇』 表示空氣及真空等大氣層、以『丨』表示待測物〇BJ之Si 層1及以r2』表不其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ni。 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L偏光成$及s偏光成分之振幅反射率(Frensnei 係數)r ζ·,ζ·+1及r zV+i表示如下: r(P) _ nM COS^ -n. cos M+1 nM cos^. +«. cos^i+1 r(S) _ % COS 办c〇s 我丄, M+1 'cos 戎+«i+1cos0,'+1The wavelength resolution of the split _ part 6 。. The diffraction grating 62 is usually composed of a spherical grating of a flat f0cus type. Among the measured reflected light split by the diffraction grating 62, an electronic signal corresponding to the light intensity of each wavelength component is output from the detecting portion 64 for measuring the reflectance spectrum of the object to be tested. The detecting portion 64 is composed of an indium gal arsenide (W-like array) having an infrared light-domain sensitivity. The data processing unit 〇 is a characteristic of the present invention related to the reflectance spectrum of the detecting portion #64. The program is used to determine the film thickness of each layer constituting the object to be tested. Further, the data processing portion 7Q can also be used to analyze the reflectance and layer structure of each layer of the object to be tested. Further, the procedure will be described in detail below. Thereafter, the data processing portion 70 rotates to determine the optical characteristics of the film thickness of the object to be tested. On the other hand, the reflected light reflected by the pinhole mirror 32 propagates along the optical axis AX1, and then is incident on the axis conversion reflection. The mirror 34 observes that the propagation of the reflected light is converted from the optical axis AX3 to the optical axis Αχ 4. In this way, the observed reflected light propagates along the optical axis ΑΧ 4 and then enters the observation camera 38. The observation camera 38 is the image capturing portion. Used to obtain reflected light from observations. 201007116 Reflected image 'usually by charged-coupled device (-CCD) and complementary metal oxide semiconductor (CMOS) Further, the observation camera 38 usually has a visible light range sensitivity, and in many cases, the sensitivity characteristic is different from the detection portion having a sensitivity of a predetermined measurement range of 64°, followed by 'observation The video signal 38 is outputted to the display portion 39 by the camera 38 after observing the reflected image obtained by the reflected light. The display portion 39 displays the reflected image on the screen based on the video signal of the observation camera 38. The user sees After 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 (LCD). Further, a viewfinder can be provided. (finder), allowing the user to directly see the reflected image' instead of the observation camera 38 and the display portion 39. "Analytical examination of reflected light" First, in the case where the measurement light is irradiated to the object to be tested, The observed reflected light is subjected to mathematical and physical examination. Fig. 2 is a view showing the measurement of the film thickness measuring device ι〇〇 as an embodiment of the present invention. The cross-sectional view of the object to be tested 〇Bj. Referring to Fig. 2, the SO I substrate is taken as a representative example of the object to be tested 。Bj. That is to say, the object to be tested 〇Bj is configured with a three-layer structure: 矽(s丨) layer 1. Base plate 3 (substrate layer) and cerium oxide (Si 〇〇 layer 2 (BOX layer) between the two. Further, the film thickness measuring device illuminates the light from the paper surface The upper side is incident on the object to be tested 〇BJ. In other words, the measurement light is initially incident on the Si layer 1. 12 201007116 For the sake of easy understanding, the measurement light incident on the object to be tested 〇BJ is then considered, and the interface between the Si layer 1 and the Si Oh layer 2 is considered. The reflected light produced after reflection. In the following description, each layer is represented by i. That is to say, "〇" means the atmosphere such as air and vacuum, "Si" means the Si layer 1 of the object to be tested 〇BJ, and the layer 2 of Si 〇2 is represented by r2. In addition to this, the refractive index of each layer is expressed by i, that is, the refractive index ni. Since the reflection of light is generated at the interface of each layer having different refractive indices (1), the amplitude of the L-polarized light into the $ and s polarized components can be reflected at each interface between the ith layer and the i+1th layer having different refractive indices. The rate (Frensnei coefficient) r ζ·, ζ·+1 and r zV+i are expressed as follows: r(P) _ nM COS^ -n. cos M+1 nM cos^. +«. cos^i+1 r( S) _ % COS do c〇s us, M+1 'cos 戎+«i+1cos0,'+1

於此,办表示第i層之入射角。根據下述之Snell法 可由最上層大氣層(第0層)之入射角計算該入射角办: Λ^〇 sin = Nf sin φι 具有光干涉之膜厚層内,以上式所示之反射率來反射 之光詩層内多次往返。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,錢以i之表面產生光干涉。 it It示各層内此一光干涉效果’可將第1層層内的光相 位角A·表示如下: A = 2π ,cos dt λ 13 201007116 於此,料示第i層之膜厚,而A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謝時, 即入射“=〇之情況下,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: «0+«! r M2-- + n2 Α =2π\ γ ΛιHere, the angle of incidence of the i-th layer is indicated. According to the Snell method described below, the incident angle can be calculated from the incident angle of the uppermost atmosphere (layer 0): Λ^〇sin = Nf sin φι In the film thickness layer with optical interference, the reflectivity shown by the above formula is reflected There are many round trips in the light poetry layer. For this reason, the light directly reflected by the interface of the adjacent layer and the light after multiple reflections in the layer, due to the different lengths of the optical paths between the two, make the phases different from each other, and the light interferes with the surface of i. It It shows the light interference effect in each layer'. The optical phase angle A· in the first layer can be expressed as follows: A = 2π , cos dt λ 13 201007116 Here, the film thickness of the i-th layer is reported, and A Indicates the wavelength of the incident light. In order to be more simplistic, when the light is irradiated perpendicularly to the object to be tested, that is, when the incident is "=〇, there is no difference between the p-polarized light and the s-polarized light, and the amplitude reflectance and the film phase angle of the interface between the layers are as follows. Shown as: «0+«! r M2-- + n2 Α =2π\ γ Λι

、人JPerson J

進一步,於第2圖所示之三層系統中,將待測物aBJ 之反射率及表示如下: ff_ rii+rn+2rMr„cos2B, 1 + + 2r0,r12 cos 於上式中,關於相位角灼之頻率轉換(傅立葉轉換), 相位因子(phase factor) (^2约對反射率及而言為非線 性。接著,將該相位因子0〇82&gt;^轉換為線性函數。於一實施Further, in the three-layer system shown in Fig. 2, the reflectance of the object to be tested aBJ is expressed as follows: ff_ rii+rn+2rMr„cos2B, 1 + + 2r0, r12 cos in the above equation, regarding the phase angle The frequency conversion of the burn (Fourier transform), the phase factor (^2 is about nonlinear to the reflectivity and then nonlinear. Then, the phase factor 0〇82&gt;^ is converted into a linear function.

例中,係將反射率;以下式轉換,並定義為獨立之變數『波 數轉換反射率』及’: R'In the example, the reflectivity is converted; the following equation is converted and defined as an independent variable "wavenumber converted reflectivity" and ': R'

R Α + τίR Α + τί

❶s2A 2πη\ 傳播 其中’ 一^一表示光(電磁波)於物質中,即層内 時之波數 ^&quot;(propagation number)。 該波數轉換反射率W為相位因子cos2/?i之一次式,所 以為線性。於此,式中之及α表示波數轉換反射率及,之切 片,而和)表示波數轉換反射率之傾角。換句話說,針對 14 201007116 • 與頻率轉換相關之相位因子如32约,該波數轉換反射率及,, 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 -及),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: 一 2^r 尺,丁 於此,當Si層1内之波長;i光速度為s,且真空中之 波長又光速度為C時,將折射率表示為除此之外, Φ 利用波數足1、角頻率ω及相位占,可將s i層1内沿著x 方向行進之光所產生之電磁波五表示為 五Μ=_χρμ—印+小換言之,Si層1内電磁波之 傳播特性取決於波數尺丨。透過這些關係,可知於真空中具 有波長义之光,由於其光速度於層内下降,波長亦會從又變 長至乂/«1。考慮此一波長分散現象,可將波數轉換反射率兄 定義如下: 及’(&amp;) = &amp;+尽cos 2昊岣 # 藉由此關係,當波數轉換反射率及,進行與波數尤相關 之頻率轉換(傅立葉轉換)時,根據膜厚伞所對應之周期成 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波 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及,的對應關係後,將 包含波數A:之波數轉換反射率疋函數進行與波數尤相關之 15 201007116 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之媒厚。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Si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。 於波數轉換反射率尺之定義中,j^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q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(意即波數夂)之 函數值,因此,與波數[相關,無法為定值。於是,以〕表 示傅立葉轉換m々心錢河,以波數[進行 傅立葉轉換後’將作為函數 、刀半頻譜(power spectrum) 各自設為P、Pa、pb及F,則下式成立: p=&gt;pa+(Pb*F) 其中,*表示摺積(conv〇luti〇n)。 式中,取決於Pa膜厚之成分相對地較小,且功率頻譜 八有獨立之波峰,因此不會對功率頻譜F造成影響。 另 此 中❶s2A 2πη\ Propagation where 'one' is the light (electromagnetic wave) in the matter, ie the wave number in the layer ^&quot;(propagation number). The wavenumber conversion reflectance W is a linear expression of the phase factor cos2/?i, so it is linear. Here, in the formula, α represents the wave number conversion reflectance and the slice, and sum) represents the inclination of the wave number conversion reflectance. In other words, for 14 201007116 • The phase factor associated with frequency conversion is about 32, which is a function used to linearize the reflectivity and value of each wavelength. Alternatively, the function 1/(1 - and ) can be used as a function of the phase factor linearization. Therefore, the wave number in the Si layer 1 can be defined as follows: a 2^r scale, which is the wavelength in the Si layer 1; the i-speed is s, and the wavelength in the vacuum is the light velocity C. In addition, the refractive index is expressed as Φ Μ χ μ 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用 利用- Insignia + In other words, the propagation characteristics of electromagnetic waves in Si layer 1 depend on the wavenumber. Through these relationships, it is known that there is wavelength-dependent light in a vacuum, and as the speed of light decreases in the layer, the wavelength also increases from 乂/«1. Considering this wavelength dispersion phenomenon, the wave number conversion reflectance brother can be defined as follows: and '(&amp;) = &amp;+ do cos 2昊岣# by this relationship, when the wave number converts the reflectivity and In the frequency conversion (Fourier transform) in which the number is particularly relevant, the peak thickness appears in the periodic component corresponding to the film thickness umbrella, and the position of the peak is specified to calculate the film thickness ή. In other words, the correspondence between the reflectance spectrum measured by the test object OBJ and the reflectance of each wavelength is converted into the wave number calculated by each wavelength and the wave number converted reflectance calculated by the above relational expression. After the relationship, the wave number conversion reflectance 疋 function including the wave number A: is particularly relevant to the wave number. 15 201007116 After the frequency conversion 'after' is based on the peak appearing in the characteristic after the frequency conversion, the composition can be calculated. The thickness of the Si layer 1 of the object OBJ. This is because the amplitude value of each wavenumber component included in the wave number distribution characteristic is obtained, and then the film thickness of the Si layer 1 is calculated based on the large wavenumber component of the amplitude value. Furthermore, as described below, a method of using a discrete Fourier transform such as a fast Fourier transform (FFT) or an optimization method using a maximum entropy method (hereinafter also referred to as "MEM") For analyzing the large wavenumber component of the amplitude value from the wave number distribution characteristics. In the definition of the wavenumber conversion reflectance ruler, the value of the interference phenomenon in the layer is irrelevant, but it depends on the amplitude reflectance of the refractive index q 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 夂), and therefore, it is related to the wave number [cannot be a fixed value. Then, the Fourier transform m々心钱河 is represented by 〕, and the wave number [after Fourier transform] is used as a function, and the power spectrum is set to P, Pa, pb, and F, respectively, and the following formula holds: p =&gt;pa+(Pb*F) where * indicates a convolution (conv〇luti〇n). In the formula, the composition of the film thickness is relatively small, and the power spectrum has independent peaks, so that the power spectrum F is not affected. Another

因為式中之Pb與功率頻譜F進行摺積, 匕之膜厚成分’係將調變加入功率頻譜F之膜厚成 然而,Pb與層内干涉現象無關,因為只受鄰接兩層 16 201007116 折分=:功 波數一,—成 舉例來講,將如二膜厚媒,,能夠忽略的程度較小。 ^ 卞马膜厚q的周期函數’透過摺積,直傅 t葉轉換後之&amp;將調變加人功率頻譜F之膜厚成分/,、因 ::譜所顯示之波峰將為『“』或『㈣』,且由於^ 小,對波峰位置d的影響很小。Because the Pb in the equation is decomposed with the power spectrum F, the film thickness component of the ' is added to the film thickness of the power spectrum F. However, Pb is independent of the intra-layer interference phenomenon because it is only folded by the adjacent two layers 16 201007116 Points =: The number of work waves is one, for example, it will be as small as a thick film medium, and can be ignored to a lesser extent. ^ The periodic function of the 卞 膜 厚 q 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 透过 透过 透过 周期 周期 周期 周期 周期 周期 周期 周期 周期 周期 周期 周期 周期 周期 周期 周期 周期 周期 周期 周期 周期』 or 『(四)』, and because ^ is small, the influence on the peak position d is small.

、,進行傅立葉轉換時,如下所述,係考慮測定 層之最大膜厚,根據Nyquist取樣定理,對於波數轉 、反射率Θ,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V ’相對於所算出的功率 頻譜之膜厚解析度r,Pb之膜厚成分q可能更小U&lt;!〇,因 此’可以說幾乎不會對膜厚d之測定結果造成影響。 以此方式,將算出的反射率頻譜,轉換至與波數相關 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, 仁亦可利用穿透率頻譜。於此情況下,以7表示所測定之 穿透率表示『波數轉換穿透率』,並將關係式表示 如下: T' = Y = Ta+Tb cos 2Kdx 即使利用穿透率頻譜,穿透率Γ對相位因子c〇s 2與而言 亦為非線性。為此,同上述之理由,採用與相位因子c〇s2A 相關,且為線性之波數轉換穿透率依據上式,波數轉 17 201007116 換穿透率r為相位因子cos2约之一次式,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cos]^而言,該波數轉換穿透率7,,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) 石夕層3間之界面反射後,所產生之反射光。以叼表示51層 1之折射率、4表示膜厚、%表示Si 〇2層2之折射率及办表 示膜厚時,可將波數轉換反射率及,表示如下:When Fourier transform is performed, the maximum film thickness of the measurement layer is considered as follows. According to the Nyquist sampling theorem, the wave number rotation and the reflectance Θ are sampled at an appropriate sampling interval and number of samples. The film thickness reflectance V′ sampled by this method is smaller than the film thickness resolution r of the calculated power spectrum, and the film thickness component q of Pb may be smaller U<lt;!〇, so it can be said that the film is hardly The measurement result of the thickness d has an influence. In this way, the calculated reflectance spectrum is converted to a wave number correlation. Considering the wavelength dispersion of the film, the Fourier transform is performed, and the film thickness of the film can be accurately calculated. Furthermore, in the above description, the reflectance spectrum is used to illustrate that the kernel can also utilize the transmittance spectrum. In this case, the measured penetration rate is 7 and the "wavenumber conversion transmittance" is expressed, and the relationship is expressed as follows: T' = Y = Ta + Tb cos 2Kdx Even if the transmittance spectrum is used, penetration The rate 亦 is also non-linear with respect to the phase factor c 〇 s 2 . For this reason, for the above reasons, the phase factor c〇s2A is used, and the linear wavenumber conversion transmittance is based on the above formula, and the wave number is converted to 17 201007116. The transmissivity r is a phase factor cos2 approximately once, The film thickness of the film can be accurately calculated in the same manner as described above. That is, for the phase factor cos] associated with the frequency conversion, the wavenumber conversion transmittance 7, which 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 base layer 3 is considered. The 折射率 indicates the refractive index of 51 layers 1 , 4 indicates the film thickness, % indicates the refractive index of the Si 〇 2 layer 2, and when the film thickness is expressed, the wave number conversion reflectance can be expressed as follows:

R' = Ra+Rb cos2Κλ dx + Rc cos2K2 d2 + Rd cos2{KX dx +K2d2) + Re cos2(jfiTj d.^ — K2 d2) 其中 2π ηλ ~λ~ Ξ 2π η2 ~λ~ 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1(尤1)及及2(尤2),用以分離並算出Si層1之R' = Ra+Rb cos2Κλ dx + Rc cos2K2 d2 + Rd cos2{KX dx +K2d2) + Re cos2(jfiTj d.^ — K2 d2) where 2π ηλ ~λ~ Ξ 2π η2 ~λ~ Wavenumber conversion reflectance and 1 (especially 1) and 2 (especially 2) converted by wavenumbers of 1 and 2, respectively, for separating and calculating Si layer 1

膜厚内及Si 〇2層2之膜厚办。具體地,如下所示: (-^1 )~Ra+Rbcos^1 + Rc cos2^i d'2 + Rd cos2KX{άλ+ά'2) + Reco?,2Kx{dl-d'2) 及2 ([2 )=及a + 及&lt;&gt; c〇s 2尤2 4 + 及c cos 2尤2 4 + 及a c〇s 2尤2 ( &quot;1 + 4) + Re cos 1K2 (d[ - d2) 其中, «2 d'2 = —d2 «1 18 201007116 於這些式中,严管4管及4並非為正確之膜厚,不過, 波數轉換反射率和⑽)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,且波數轉換反射率及2 )之第 3項所對應之功率頻譜中,可由波峰求得原本之膜厚办。 再者,實際上,Si層1及Si eh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 ❹所包含之办及々’及c之值較小,因此很多情況下,亦難 以從功率頻譜中,確認波數轉換反射率之第3項所 對應之波峰。於此情況下,先算出波數轉換反射率及2 (足2 ) 之第4項所對應之功率頻譜的波峰位置办j,以及波數 ,g反射率及2 C^2 )之第2項所對應之功率頻譜的波峰位置 (^lj,之後,再取得兩者之差,便能夠算出膜厚办。 《關於波長範圍及波長解析度》 第3圖係顯示利用本發明實施例之膜厚測定裝置1 〇 〇 _ 來測定SO I基板後之測定結果示意圖。再者,第3圖所示 之測定例中,於第3(a)圖之情況下,測定光之波長範圍為 90〇nm〜1 600nm,而第3(b)圖之情況下,波長範圍為134〇nm 〜1600nm。進一步,對應於測定波長,係選擇具有適當特 性之繞射光柵62,使得反射光入射至檢測部份64後,檢 測部份64之檢測點(p〇i ηΐ)數(檢測頻道數)均相同(例如 512個頻道)。換句話說,波長範圍愈窄,則每一檢測點數 之波長間隔(亦即,波長解析度)愈小。 19 201007116 根據前述之解析性檢查 長’應有周期性變化。 ’所測定之反射率,相對於波 於第3(a)圖所示之測定結果中,儘管可以看到反射率 相對於波長具有周期性變化,但無法㈣十分精確之膜厚 測定。 就此而έ ’於第3(b)圖所示之測定、结果中,清楚地顯 示出反射率之波峰(peak)及波谷(vaUey),亦可測定反射 率之變化周期。第3(c)圖,係將第3⑻圖所示之測定結果 (反射率頻譜),轉換為上述波數轉換反射率疋之函數後,_ 用以顯示與波數尺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51層丨之膜厚。 進-步’第4圖及第5圖係顯示s〇I基板之其它測定 結果。 第4圖係顯示利用本發明實施例之膜厚測定裝置】 來測定SO I基板後之另一測定結果示意圖。於第4圖之測 定例中,Si層1之膜厚為10.0um(設計值),以〇2層2之膜 厚為0.3Um(設計值)。進一步,於第4(a)圖中,係顯示利 用具有可見光光域(330nm〜llOOnm)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〜 1 6 0 0 n m )波長成为之測疋光。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860nm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 20 201007116 . 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SOI基板後之另一測定結果示意圖。於第5圖之測 疋例中’Si層1之膜厚為8〇.〇ym(設計值),si〇2層2之膜 厚為0. 1μιη(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〜 1600nm)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⑽ 〜1 600ηιη)波長成分之測定光。再者,如上所述,檢測部份 6 4 (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5(b)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。 φ 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一種測定方法,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 Amin,且檢測部份64之波長檢測上限值為;。再者, 測定用光源1〇(第1圖)所照射之測定光波長範圍,若包含 檢測部份64之波長檢測範圍的話,則任何範圍皆可。更進 21 201007116 圖)之檢測點數(檢測頻道數)為 一步,檢測部份64(第 S p。 第6圖為一示意圖’用以說明依據本發明實施例之膜The film thickness in the film thickness and the Si 〇2 layer 2 are thick. Specifically, as follows: (-^1 )~Ra+Rbcos^1 + Rc cos2^i d'2 + Rd cos2KX{άλ+ά'2) + Reco?, 2Kx{dl-d'2) and 2 ([2)= and a + and &lt;&gt; c〇s 2 especially 2 4 + and c cos 2 especially 2 4 + and ac〇s 2 especially 2 ( &quot;1 + 4) + Re cos 1K2 (d[ - d2) where «2 d'2 = —d2 «1 18 201007116 In these equations, the strict tube 4 and 4 are not the correct film thickness, but the wavenumber conversion reflectivity and (10)) of the second term In the corresponding power spectrum, the original film thickness can be obtained from the peak, and the wavenumber conversion reflectance and the power spectrum corresponding to the third term of 2) can be obtained from the peak by the peak. Further, in actuality, the refractive indices of the Si layer 1 and the Si eh layer 2 are similar, and in most cases, the reflectance at the interface is relatively small compared to the reflectance at other interfaces. As a result, compared with the function of the wavenumber conversion reflectance, the values of 々' and c are small, so in many cases, it is difficult to confirm the third of the wavenumber conversion reflectance from the power spectrum. The peak corresponding to the item. In this case, first calculate the wavenumber conversion reflectance and the peak position of the power spectrum corresponding to the fourth term of 2 (foot 2), and the second term of the wave number, g reflectance, and 2 C^2 ). The peak position of the corresponding power spectrum (^lj, after which the difference between the two is obtained, the film thickness can be calculated. "About wavelength range and wavelength resolution" Fig. 3 shows the film thickness using the embodiment of the present invention. The measurement result of the measurement apparatus 1 〇〇 _ after measuring the SO I substrate. Furthermore, in the measurement example shown in FIG. 3 , in the case of the third (a) diagram, the measurement light has a wavelength range of 90 〇 nm. ~1 600 nm, and in the case of the third (b), the wavelength range is 134 〇 nm to 1600 nm. Further, corresponding to the measurement wavelength, the diffraction grating 62 having appropriate characteristics is selected so that the reflected light is incident on the detection portion. After 64, the number of detection points (p〇i ηΐ) of the detection portion 64 (the number of detection channels) is the same (for example, 512 channels). In other words, the narrower the wavelength range, the wavelength interval of each detection point ( That is, the smaller the wavelength resolution. 19 201007116 According to the aforementioned analytical test Check the length 'should have a periodic change. 'The measured reflectance is relative to the measurement result shown in the 3(a) diagram. Although it can be seen that the reflectivity has a periodic change with respect to the wavelength, it cannot be (4) Very accurate film thickness measurement. In this case, the peaks and troughs (vaUey) of the reflectance are clearly shown in the measurement and results shown in Fig. 3(b), and the change in reflectance can also be measured. Cycle. Figure 3(c) shows the measurement result (reflectance spectrum) shown in Figure 3 (8) converted to the function of the wavenumber conversion reflectance ,, _ used to display the frequency conversion associated with the wave scale As a result, as shown in Fig. 3, the value corresponding to the main peak can be used as the film thickness of the 51-layer crucible. The fourth step and the fifth graph show the other measurement results of the s〇I substrate. A schematic diagram showing another measurement result after measuring the SO I substrate by using the film thickness measuring device of the embodiment of the present invention. In the measurement example of Fig. 4, the film thickness of the Si layer 1 is 10.0 um (design value),膜 2 layer 2 film thickness is 0.3Um (design value). Further, in the 4th (a) figure, the system shows The measurement light having a wavelength component of the visible light region (330 nm to llOO nm) is used, and in the fourth (b) diagram, the measurement is performed by using a wavelength having an infrared light region (9 〇〇 nm to 1 60 nm). In addition, as described above, the number of detection points (the number of detection channels) of the detection portion 64 (Fig. 1) is the same. As shown in Fig. 4(a), when the wavelength component having the visible light region is used, the measurement is performed. In the case of light, in the wavelength region larger than 860 nm, the periodic variation of the reflectance is exhibited, but in the shorter visible light region, it is known that 20 201007116 does not occur. On the other hand, 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 a significant change in the periodicity of the reflectance occurs. Fig. 5 is a view showing another measurement result after measuring the SOI substrate by using the film thickness measuring device ι of the embodiment of the present invention. In the measurement example of Fig. 5, the film thickness of the 'Si layer 1 is 8 〇. 〇 ym (design value), and the film thickness of the layer 2 of the Si 〇 2 layer is 0.1 μmη (design value). Further, in the fifth (a) diagram, measurement light having a wavelength component having an infrared light domain (900 nm to 1600 nm) is used, and in the fifth (b) diagram, it is shown that a light source having a narrower infrared light is used ( 147〇(10)~1 600ηιη) Measurement of wavelength components. Further, as described above, the number of detection points (the number of detection channels) of the detection portion 6 4 (Fig. 1) is the same. As shown in Fig. 5(a), there is no significant periodic change in the reflectance measured by the measurement light having the wavelength component of the infrared light region. Conversely, as shown in Fig. 5(b), when the measurement light having a narrower wavelength component of the infrared light region is used, it is known that a significant change in the periodicity of the reflectance occurs. φ According to the above measurement example, 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 measurement method using the intra-layer light interference object, and the detection portion 64 has a limited wavelength resolution for the reflected light, a more appropriate measurement light wavelength 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 Amin, and the upper limit of the wavelength detecting portion of the detecting portion 64 is; Further, the range of the measurement light wavelength to be irradiated by the measurement light source 1 (Fig. 1) may be any range if the wavelength detection range of the detection portion 64 is included. Further, 21, 201007116, the number of detection points (the number of detection channels) is one step, and the detection portion 64 (Sp. Fig. 6 is a schematic view) for explaining the film according to the embodiment of the present invention.

厚測定範圍及檢測部份64夕仏、甘丨、* i π HP Ο 4之檢測波長範圍,以及與檢測點 數之關係。 ~ ⑴膜厚測定範圍之下限值“與檢測波長範圍之關 係0 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,肖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Amax,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。 ❹ 因此,膜厚測定範圍之下限值jmin與測定光之波長範 圍之關係需滿足以下之條件式(1):The thickness measurement range and the detection wavelength range of the detection portion of 64 仏, 丨, * i π HP Ο 4, and the relationship with the number of detection points. ~ (1) The lower limit of the film thickness measurement range "The relationship with the detection wavelength range. 0 According to the film thickness measurement method described above, the detection portion 64 needs to have the energy because it is necessary to find the wavelength of the light interference generated in the object to be tested. The wavelength range in which the light @ interference is generated "that is, as shown in Fig. 6(a), in the detection wavelength range of the detecting portion 64, the reflectance waveform measured by the object is required 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 Amax, which means that the change in the optical distance generated is sufficient to carry out the film thickness of the object to be tested. ❹ Therefore, the film thickness measurement range is The relationship between the lower limit jmin and the wavelength range of the measured light is required to satisfy the following conditional expression (1):

乂min .又η乂min .also η

…(1) 其中,%iin表示波長Ληώ之折射率,而^狀表示波長 Ληβχ之折射率。 (2)膜厚測疋乾圍之上限值與檢測點數之關係。 如第6(b)圖所示,當測定光之波長愈長,則待測物所 被測定之反射率波形之周期愈長。第6(c)圖所示之反射率 22 201007116 波形,f 6(b)圖所示之反射率波形轉換為波數〇/f) 之座標。此時,針對波長,係將InGaAs等各陣列元件以等 間隔方式配置,如此一來,當波數愈小,可知波數所對應 之各陣列元件的配置間隔愈大。(1) where %iin represents the refractive index of the wavelength Ληώ, and ^ represents the refractive index of the wavelength Ληβχ. (2) The relationship between the upper limit of the film thickness and the number of detection points. As shown in Fig. 6(b), the longer the wavelength of the measurement light is, the longer the period of the reflectance waveform measured by the object to be tested is. The reflectance shown in Fig. 6(c) 22 201007116 waveform, the reflectance waveform shown in f 6(b) is converted to the coordinates of wavenumber 〇/f). In this case, the array elements such as InGaAs are arranged at equal intervals for the wavelength. As a result, the smaller the wave number, the larger the arrangement interval of the array elements corresponding to the wave number.

因此,為了使對應於波數、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ΔΑ)需滿足Nyqui st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i/max。 檢測部份64之波長解析度ΔΑ,利用檢測點數(檢測頻 道數)$/?,可以表示為△义==(乂max — /imin 。 由於測疋光之波長愈長時,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 (峰值(peak)或谷值(valley))產生時,與該極值鄰接的極 值所產生之波長表示為义1,與膜厚測定範圍之上限值i/max 間需滿足以下之條件: d —_Kax_ max-2(Amax.Wl-V«眶) 於此,當測定對象層之膜厚較大時,可假設% n 因此,將上述之條件表示為以下之條件式(2):Therefore, in order to correctly sample the reflectance waveform corresponding to the wave number and change with a predetermined period, the arrangement interval (wavelength resolution ΔΑ) of each array element needs to satisfy the Nyquist sampling theorem, by satisfying the sampling theorem, It is used to determine the upper limit i/max of the film thickness measurement range. The wavelength resolution ΔΑ of the detection portion 64 is represented by the number of detection points (the number of detected channels) $/?, which can be expressed as Δ==(乂max — /imin. The longer the wavelength of the measurement light, the reflectance waveform The period is shorter and shorter. Therefore, in the reflectance waveform, when the upper limit value of the light is measured; the extreme value (peak or valley) is generated, the extreme value adjacent to the extreme value is generated. The wavelength is expressed as meaning 1, and the following conditions are satisfied between the upper limit i/max of the film thickness measurement range: d — _Kax — max − 2 (Amax.Wl−V«眶) Here, when the film of the target layer is measured When the thickness is large, it is assumed that % n is therefore expressed as the following conditional expression (2):

\ '^max 2 . &quot;max (义max — ) …(2) 此時,波長解析度Μ需滿足以下之條件:\ '^max 2 . &quot;max (max) — (2) At this point, the wavelength resolution does not need to meet the following conditions:

將上限值dmax之關係式代入上述波長解析度Μ之關 23 201007116 係式中’消去又1後,可以表示為以下之條件式(3 ): ΔΑ =-又 又min ^ _乂max__...(3) SP 2(^max+2*«max-^max) 以上為檢查之結果,若欲事先決定待測物所要求之膜 厚測疋氣圍(下限值άγ(\χγ\〜上限值i/max)’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;Ijnin 〜上限值;^狀)及檢測點數。 《計算例》 於第2圖所示之SOI基板中,當測定Si層1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 l〇〇um ’且折射率為定值(n = 3. 5)而不取決於波長。再者, 於此計算例中,不考慮,s〇I基板之Si層】之下限值^匕。 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;Imax =1424. Onm ,而波長解析度 △又= 1.445375,因此’當具有512個頻道之檢測部份64 被用來對最大膜厚為100叫之待測物進行膜厚測定時,若 所使用之測定光涵蓋大約684〜1424nm之波長範圍,則可 ^檢測部份64檢測該範圍之反射光(波長解析度 △义=1. 4453125nm)。 其中’根據上述條件式所算出之浊 山 &lt; 及長解析度,用以 說明理論上之最低限度之規格,於督 實際進行測定時,相較 於所算出之波長解析度△!,最好能 ' 岵知巧其精確度。再者, 攻好為數倍之程度(例如2〜4倍)。 ;再者’提高精確度,意 201007116 指將波長解析度△;[之值設定為更小。 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,功率頻 譜上的波峰高度變小,而變得難以算出膜厚。再者,以有 限之取樣值,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Substituting the relationship of the upper limit value dmax into the above-mentioned wavelength resolution 23 23 23 201007116 In the system, after 'elimination and another 1 ', it can be expressed as the following conditional expression (3 ): ΔΑ = - and again min ^ _乂max__.. (3) SP 2(^max+2*«max-^max) The above is the result of the inspection. If you want to determine the film thickness required for the test object in advance, the lower limit άγ(\χγ\~ The upper limit value i/max) 'in order to satisfy the above conditional expressions (1) and (2) 'must determine the wavelength range of the measurement light (lower limit value; Ijnin to upper limit value; ^ shape) and the number of detection points. In the SOI substrate shown in Fig. 2, when the film thickness of the Si layer 1 is measured, the calculation of the necessary conditions is as follows. In this calculation example, the upper limit of the si layer 1 of the SOI substrate is ^ The shape is l〇〇um ' and the refractive index is constant (n = 3. 5) without depending on the wavelength. Furthermore, in this calculation example, the lower limit of the Si layer of the s〇I substrate is not considered. ^匕. By substituting the above set values into the above conditional expressions (2) and (3), the upper limit value can be calculated; Imax = 1424. Onm, and the wavelength resolution △ is again = 1.445375, so 'when there are 512 frequencies The detecting portion 64 is used to measure the film thickness of the object to be tested having a maximum film thickness of 100. If the measuring light used covers a wavelength range of about 684 to 1424 nm, the detecting portion 64 can detect the range. The reflected light (wavelength resolution △ = 1. 4453125 nm). The 'cloudy mountain' and the long resolution calculated according to the above conditional formula are used to explain the theoretical minimum specification. Compared with the calculated wavelength resolution Δ!, it is better to 'know the accuracy. Moreover, the attack is several times (for example, 2 to 4 times). In addition, 'improve the accuracy, meaning 201007116 refers to the wavelength resolution △; [the value is set to be smaller. That is, in the actual film thickness measuring device, the influence of the incident light angle of the object to be tested, and the opening angle when using the lens collecting system The influence, etc., will cause the spectral accuracy to decrease. In this case, the peak height in the power spectrum becomes smaller, and it becomes difficult to calculate the film thickness. Furthermore, the discrete frequency conversion is performed by FFT or the like with a limited sampling value. Feelings Under affected distortion (aliasing), is also produced when will the wave number conversion

❹ 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劇烈變化,或可能無法滿足部份條件。 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臈 厚測定裝置,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l〇〇Jjm。 冰 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900nm〜16〇〇nm範圍之反射率頻譜(波長 解析度12.7343751^)進行測^之結果,而於第抑)圖 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m轉換)後之功率頻譜。如第7(b)圖所示,於此情 況下’雖說__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。 另一方面,於第8U)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 後之敎結果,而於第8(b)圖中,係顯示將第8u)圖所示 25 201007116 之反射率頻譜進行頻率轉換(於此為m轉換)後之功 譜。於此實施例中,係決定檢測點數及波長範圍用 檢測部份64之波長解析度^成為1 3671875,如第 圖所示,於此情況下,原本之臈厚1〇〇叫附近出現極強之 波峰,意味著能夠正確地測定待測物之膜厚。 《膜厚算出程序之概述》 m 如上所述,根據反射率頻譜之周期性,能夠算出 物之膜厚。換言之,將所檢測到之反射率頻譜進行頻率轉 換,用以取得功率頻譜,透過功率頻譜中所出現之波峰, 便能夠算出膜厚。實際上,此一功率頻譜係利用m等離 :傅立葉轉換方式取得 '然而’亦會有無法利帛奶來取 得充份反映周期性之功率頻譜的情況。為此,本實施例之 臈厚敎裝置100,除了利FFT等離散傅立葉轉換外, 亦可執行MEM等最佳化之方法,用以作為功率頻譜之算出 方法。也就是說,本實施例之膜厚測定裝置1〇〇,對應於 所檢測到之反射率頻譜,選擇性地或合併地執行傅立;轉 ^及最佳化之方法。再者,關於麵程序之細節係詳述 d量系統之微電腦/個人電腦活用技術』,第 ^考版’ 1 992年8月!日發行,CQ出版社,在此提供作為 進—步,本實施例之膜厚測定裝置1〇〇,除了從上述 所檢测到之反射率頻譜解析性地算出膜厚外, 树定银·条β # 精田 、象所算出之物理模型(model),理論性地算出反射率 26 201007116 頻譜後,比較實際上檢測到的 抬^ j的反射率頻譜,根據兩者間之 偏差值,探索性地算出測定 之 謂的配適⑴uing)法。Μ之光學特性值,即執行所 另外’如第2圖所示之如丨篡缸 m ^ ^ , 基板,相較於第2層Si〇2 :厚,第1層以層1之膜厚為2位數以上,就此待 測物而言’制配適(fitting^ 度之各層膜厚。 Μ具有充为精確 【9二顯示S0I基板相關之反射率頻譜的測 :意圖。於第9圖之測定例中,第Μ…之 :,第2層^層2之膜厚範圍為。48一_ :,之間隔變化。如第9圖所示,即使第2層抓 大的二:生變化,亦不會使測定之反射率頻譜產生太 由… 話說,自此一待測物所測定之反射率頻譜, ❹ 層==USl層1之影響,意味著第2⑽ 參數即使發生變化,亦無法充份地進行配適。 ^來’對於具有相異複數層之待測物像撕基板 換之膜厚測定裝i WO執行上述之傅立葉轉 方法、配適法其中之一或適當地加以組 以獨立出各層膜厚,並能夠正確地加以解析。以下,將說 =實施例中,膜厚測定裝i剛之膜厚算出程序之相關 =算Γ,係利用資料處理部份7〇(第1圖)來執行此-膜厚算出程序。 《資料處理部份之架構》- 第10圖係顯示依據本發明實施例之資料處理部份70 27 201007116 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 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)21〇, 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)216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-R〇M)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2〇4。 各部份透過匯流排200互相連接。The conversion error of the hygienist becomes larger. Further, the refractive index dispersion of the test object may be drastically changed depending on the wavelength range of the light to be measured, or some conditions may not be satisfied. Fig. 7 is a view showing a simulation result of a measurement result using a film thickness measuring device having a wavelength resolution close to a theoretical value.帛8 is a schematic diagram showing the simulation results of the measurement results without using a wavelength measurement device having a wavelength resolution higher than the theoretical value. Further, the film thickness of the object to be tested as a target is l〇〇Jjm. More specifically, in Fig. 7(a), the result of measuring the reflectance spectrum (wavelength resolution of 12.7343751^) in the range of 900 nm to 16 〇〇 nm by the detecting portion 64 having 512 channels is shown. In the figure, the power spectrum after frequency conversion (here, m conversion) of the reflectance spectrum shown in Fig. 7(a) is shown. As shown in Fig. 7(b), in this case, although there is a peak near __, the level is smaller than that of the film side (ghost), and it is difficult to determine the film thickness. On the other hand, in the 8th U) diagram, in the case where the wavelength range is determined, the accuracy of the wavelength resolution of the detecting portion 64 becomes twice the theoretical value, and in the eighth (b) diagram, The system displays the power spectrum after frequency conversion (in this case, m conversion) of the reflectance spectrum of 25 201007116 shown in Fig. 8u). In this embodiment, it is determined that the wavelength resolution of the detection point 64 and the wavelength range detecting portion 64 becomes 1 3671875, as shown in the figure, in which case the original thickness is 1 〇〇 near the pole. A strong peak means that the film thickness of the analyte can be accurately measured. <<Overview of Film Thickness Calculation Program>> m As described above, the film thickness of the object can be calculated from the periodicity of the reflectance spectrum. In other words, the detected reflectance spectrum is frequency-converted to obtain the power spectrum, and the peak appearing in the power spectrum can be used to calculate the film thickness. In fact, this power spectrum is obtained by using the m-isolation: Fourier transform method. However, there is a case where the milk cannot be used to fully reflect the periodic power spectrum. For this reason, the thick-thickness device 100 of the present embodiment can perform a method of optimizing the MEM or the like as a method of calculating the power spectrum, in addition to the discrete Fourier transform such as FFT. That is, the film thickness measuring apparatus 1 of the present embodiment performs the method of performing the Fourier transform and the optimization selectively or in combination corresponding to the detected reflectance spectrum. In addition, the details of the surface program are detailed on the micro-computer/PC utilization technology of the d-quantity system, the first version of the exam' August 992! Japanese Laid-Open, CQ Press, hereby provides, as a further step, the film thickness measuring apparatus 1 of the present embodiment, in addition to the film thickness calculated analytically from the above-described reflectance spectrum, Strip β #精田, the physical model calculated by the image, theoretically calculate the reflectance 26 201007116 spectrum, compare the reflectance spectrum of the actually detected lift, and explore the deviation between the two. The adaptive (1) uing method for measurement is calculated. The optical characteristic value of Μ, that is, the other method as shown in Fig. 2, such as the mm ^ ^ , the substrate, compared with the second layer Si 〇 2 : thick, the thickness of the layer 1 of the first layer is More than 2 digits, in terms of the object to be tested, 'the fit is suitable (the thickness of each layer of the fitting ^ degree. Μ has the charge accurate [9 2 shows the reflectance spectrum of the S0I substrate: the intention. In Figure 9 In the measurement example, the second layer: the film thickness of the second layer 2 is in the range of 48 _:, and the interval varies. As shown in Fig. 9, even if the second layer is large, the second change occurs. It will not cause the measured reflectance spectrum to be too much... The reflectance spectrum measured from this object to be tested, the influence of ❹ layer == US1 layer 1, means that the 2nd (10) parameter cannot be charged even if it changes. Fitting the parts. ^To 'For the sample with different complex layers, the film thickness is measured, and the film thickness measurement device i WO performs one of the above-mentioned Fourier transform method, the appropriate method or is appropriately grouped to separate Each layer has a thick film thickness and can be accurately analyzed. Hereinafter, in the embodiment, the film thickness measurement program of the film thickness measurement device is calculated. Correlation = arithmetic, using the data processing part 7 (Fig. 1) to perform this - film thickness calculation procedure. "Structure of data processing part" - Fig. 10 shows a data processing part according to an embodiment of the present invention 70 27 201007116 A schematic hardware diagram. Referring to Figure 10, a data processing portion 70 is generally implemented by a computer, comprising: a central processing unit (CPU) 200 for executing an operating system (OS) And a memory portion 212 for temporarily storing necessary data when the CPU 200 executes the program; and a hard disk drive (HDD) 21〇 for storing the CPU 200 non-volatilely In addition, in the hard disk portion 210, a program for realizing a program to be described later is stored in advance through a floppy disk drive (FDD) 216 or a CD-ROM drive (CD-ROM). The drive 214 is read from the floppy disk 216a or the compact disk-read only memory (CD-R〇M) 214a. The input portion 208 is composed of a keyboard and a mouse. ' CPU 200 receives from the user At the same time, the execution of the program is used to output the measured measurement results and the like to the display portion 2〇4. The respective portions are connected to each other through the bus bar 200.

《演算程序結構》 本實施例之資料處理部份70,對應於待測物各層參數 消衰係數等)中未知值 可從下示之程序型樣 (材質、膜厚、膜厚範圍、折射率、 之種類及數量,以及解析精確度等, (Pattern)1〜6中選擇其一來執行。再者於以下之謂 中,如第2圖所示之S0I基板,係以獨立算出2廣積層 自之膜厚為例,然❿,利用相同之方法,可用以獨立莫 更多積層各自之膜厚。 28 201007116 - (1)程序型樣l 程序型樣1,係為已知第1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。於該程序型樣丨中,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11圖係顯示依據本發明實施例,用以執行與程序型 樣1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21〇等的程 式4出至s己憶體部份212,然後加以執行。 參考第11目,資料處理部份70(第i圖)包括緩衝器 (buffer)部份71、模型(m〇del)化部份721及配適叩) 部份722。 緩衝器部份71.,用以暫存分光測定部份6〇所輸出之 實測反射率頻譜R(又)。更具體地,分光測定部份6〇係根 據每一個既定之波長解析度來輸出反射率之值,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721接收與待測物相關之參數,根據所接 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1層之折射率… 及消衰係數ki,以及第2層之折射率m及消衰係數匕,同 時’接收第1層之膜厚心初始值及第2層之膜厚dz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 29 201007116 之參數以標案等事先儲存,必要時再讀出。再者,必要時, 亦可輸入大氣層之折射率m及消衰係數ke。 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,反射率相同,為至少包含各層膜厚值之函數。 再者模型化部伤721根據下述配適部份722之參數 更新用以對顯不理論反射率之函數進行更新然後, 再根據更新彳4之函數,算出各波長之理論反射率(頻譜)。 更具體地’模型化部份721依序更新作為參數之第!層之 膜厚(L及第2層之膜厚心。 參 配適部份722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差’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722判斷目前之 參數是否為收斂。 時’配適部份722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。The calculus program structure, the data processing part 70 of the present embodiment, corresponding to the parameter de- fading coefficient of each layer of the object to be tested, etc., can be obtained from the following program type (material, film thickness, film thickness range, refractive index). , the type and quantity, and the accuracy of the analysis, etc., one of (Pattern) 1 to 6 is selected for execution. In addition, in the following, the SOI substrate shown in Fig. 2 is calculated independently. Since the film thickness is taken as an example, then the same method can be used to separate the film thicknesses of each layer. 28 201007116 - (1) Program pattern l Program pattern 1, which is known as the first layer and The film thickness calculation procedure that can be performed when the refractive index and the decay coefficient of the second layer are performed. In the program pattern, the film thickness of each layer is determined by the fitting method. Further, in one embodiment, the minimum can be utilized. The second multiplication method is used as the adaptation method. Fig. 11 is a block diagram showing the control structure for executing the film thickness calculation program related to the program pattern 1 according to the embodiment of the present invention. In the block diagram of the second figure, the CPU 200 will pre-store the program 4 stored in the hard disk part 21, etc. The portion 212 is then executed. Referring to item 11, the data processing portion 70 (i) includes a buffer portion 71, a model (m〇del) portion 721, and a matching portion). 722. The buffer portion 71. is used for temporarily storing the measured reflectance spectrum R (again) outputted by the spectrometry portion 6〇. More specifically, the spectrometry section 6 outputs the reflectance value according to each of the predetermined wavelength resolutions, and therefore, the buffer portion 71 stores the wavelength and the reflectance of the wavelength correspondingly. The modeling portion 721 receives parameters related to the object to be tested, determines a model (function) for representing the theoretical reflectance of the object to be tested based on the received parameters, and then calculates a theoretical reflection of each wavelength by using the determined function. Rate (spectrum). The calculated theoretical reflectance of each wavelength is output to the fitting portion 722. More specifically, the modeled portion 721 receives the refractive index of the first layer and the attenuation coefficient ki, and the refractive index m and the attenuation coefficient 第 of the second layer, while receiving the initial value of the film thickness of the first layer and The film thickness dz initial value of the second layer. Furthermore, the parameters may be input by the user, or the parameters of the standard material 29 201007116 may be stored in advance as a standard, and then read if necessary. Further, if necessary, the refractive index m and the attenuation coefficient ke of the atmosphere may be input. The model for displaying the theoretical reflectance is the same as the object to be tested of the above three-layer system, and the reflectance is the same as that of at least the film thickness value of each layer. Furthermore, the modeled partial injury 721 is updated according to the parameter update of the following adaptive part 722 to update the function of the apparent theoretical reflectance, and then the theoretical reflectance (spectrum) of each wavelength is calculated according to the function of updating 彳4. . More specifically, the 'modeling part 721 is updated sequentially as the parameter! The film thickness of the layer (L and the thickness of the film of the second layer. The reflectance spectrum theory output by the modeled portion 721 after the reference portion 722 reads the reflectance spectrum of the buffer portion 71 The value is used to sequentially calculate the squared deviation value of each wavelength between the two. Then, the matching portion 722 calculates the residual 'from the deviation value of each wavelength' and then determines whether the residual is below a predetermined critical value. The appropriate portion 722 determines whether or not the current parameter is convergent. The appropriate portion 722 outputs the current film thickness di of the first layer and the film thickness d2 of the second layer as analytical values.

當殘差不在既定臨界值以 數更新指令至模型化部份721 率頻譜被輸出為止。另一方面 下時,配適部份722傳送參 ’然後等待,直至新的反射 ’當殘差在既定臨界值以下 第12圖係顯示依據本發明實施例之程序型態1相關之 媒厚算出程序之方法流程圖。 參考第12圈,使用者將待測物(樣本)放置於載物臺 5〇(第1圖)上(步驟sl00)。之後,當使用者下達測定準備 30 201007116 指令時,觀察用光源(第丄圖)開始 用者參考由觀察用攝影機38取 _’、、之…、射。使 並顯不於顯示部份39 m ’將載物臺位置指令下達至可動機構51,用以進 订測疋範圍之調整及對焦(步驟S102)。 完成測定範圍之調整及對隹徭 ^ „ …、後使用者下達測定開始 才”,測疋用光源10(第i圖)開 ❿ # 部“。接受待測物之反射光,並將基光測定 頻譜輸以資料處理部份7G(步 之^射率 —O.CPO 4 ;1 ^ ± 彳疋邵伤60所檢測之反射率 頻谱暫時儲存於分光測定部份6q等之中(步驟讓)。資 枓處理部份70之CPU 執行下述之膜厚算出程序。 CPU 200將輸入畫面顯示於顯示器部份戰第_) 趣之上’要求使用者輸入參數(步驟sm)。使用者根據所 :::輸入畫面等,輸入待測物第1層之折射率m及消衰 ^數^以及待測物第2層之折射率以及消衰係數^,同 ’輸人第1層之膜厚dl及第2層之膜厚d2初始值(步驟 11 0 ) ° 進一步,CPU 200根據使用者所輸入之參數算出反 =頻譜之理論值(步驟S112)。接下來,針對記憶體部份 等所儲存之反射率頻譜實測值與反射率頻譜理論值, pU 200依序算出兩者間各波長之二乘偏差值,用以算出 兩者之:之殘差(步驟S114)e進一步,cpu 2〇。判斷算出 的殘差疋否在既定臨界值以下(步驟S116)。 算出的殘差不在既定臨界值以下之情況下(步驟 31 201007116 S116中NO之情況),CPU 200改變第i層之膜厚dl及第2 層之膜厚ch的現在值(步驟S118)。再者,膜厚di及膜厚 th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SU2。 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),CPU 200將第1層之膜厚dl及第 2層之膜厚&amp;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、η2參 =消衰係數k!、kz係以固定值輸入,亦可使用考慮到波長 刀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: n(^) = ~ + -~+c 其中,a,0,c,c?,e,/表示每一層中之相關係數。 當使用該式時,式中各係數亦可輸入事先設定之初始❹ 或已A值,亦可將這些係數作為配適的對象。 或者亦可使用下述之Sel lmeier模型式: ,、中,/,容,為SeUmeier係數,而又 (2)程序型樣2 反食 程序型樣2,係為已知第!層及第2層之折射率及消 32 201007116 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Μ,該第i層之膜厚為固 定值,而第2層之膜厚則用配適法決定。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13圖所 不之方塊圖中,CPU 2GG將事先存於硬碟部份21G等的程 式讀出至記憶體部份212 ’然後加以執行。 參考第13圊’資料處理部份7〇(第i圖)包括緩衝器 部伤71、波數轉換部份731、緩衝器部份7犯、傅立葉轉 換部份733、波峰探索部份734、模型化部份735及配適部 份 736。 緩衝器伤7卜用以暫存分光測定部份60所輸出之 實測反射率頻谱rq)。再者,具體架構及處理内容已詳 述如上,於此不加贅述。 ▲波數轉換部份731接收第U之參數(折射率⑴及消 哀係數kl),根據所接收之參數,將暫存域衝器部份71 參 之反射率頻譜RU)進行波數轉換。換句話說,波數轉梯 部份731將反射率頻譜D中之各波長與各波長反射率 的對應關係,轉換為金^e ^ 、為與各波長相關之波數Κι ( λ )與利用上 述關係式所算出之浊 波數轉換反射率构的對應關係。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 依序篡 '數Κι(λ)及波數轉換反射率 33 201007116 巧⑷(=雄)/(ι-雄))),然、後輸出至緩衝器部份如。 緩衝器部份732,將波數轉,換部份731所依序輸出之 波數ΚΚ λ )及波數轉換反射率對應儲存。也就是說, 與波數KK A )相關,之波數轉換反射率之波數分佈特二即 波數轉換反射率抑(尤1),被儲存於緩衝器部份之中。 傅立葉轉換,部份733,將緩衝器部份阳所儲存之 數轉換反射率_),進行與波數[相關之傅立葉轉換: 用以算出功率頻譜Pl。再者,能夠利用快速傅立葉轉換(FFT) ^^^^(discrete c〇slne transf〇rm, DCT)^ 作為傅立葉轉換之方法。 波蜂探索部份m,^傅立葉轉換部份733所算出之 功率頻譜卩,中探索出現^之波 厚,將其作為第u之膜厚並輸出。付該波峰所對應之膜 收之^化部份735接收與待測物相關之參數,根據所接 =數,決定用以表^㈣物理論反射率之模型式(函 心後利用所決定之函數,算出各 譜)。所算出的^ 4 算出各波長之理論反射率(頻 ㈣各波長之理論反射率,係被輪出至配適部份 所輸出更之具體地,模型化部份735,接收從波峰探索部份⑽ k2,同時1層及第2層之折射率喊消衰係數 用者輪入久接收第2層之媒厚d2初始值。再者,亦可由使 事先儲t參數’或者亦可將標準性材質之參數以槽案等 係與上二必要時再讀出。用以顯示理論反射率之模型式, 含各層膜:層系統之待測物0β:之反射率相同,為至少包 含各層膜厚值之函數。 34 201007116 再者,模型化部份735根據配適部份736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,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2層之膜 厚d2 〇 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殘差,然後判斷該殘差是否 在既定臨界值以下。也就是說’配適部份咖判斷目前之 參數是否為收斂。 §殘差不在既定臨界值 ^。丨,T77〖扣得送參 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-方面,當殘差在既定臨界值以下 二:=736將目前之第1層之膜厚dl及第2層之膜 Φ 厚d2作為解析值並輸出。 ㈣圖係顯示依據本發明實施例之程序型 膜厚算出程序之方法流程圖。於第14圖 ^ 驟中,步驟S100〜S108之程序,與第不之流程圖各步 係以相同符號表示相同之步驟,於此不所示之流程圖, 對與第圖所示之流程圖不同之 贅述。以下將針 膜厚算出程序進行說明。 ,驟S132之後的 於步驟S132中,使用者根據所顯示 入待測㈣i層之折射率ηι„㈣1^畫面等’輸 1以及待測物第 35 201007116 2層之折射率nz及消衰係數 d2初始值。 同時 輪入第2層之棋厚 然後,CPU _.根據所輪入 衰係數k1’對記憶趙部物等所儲存之:射= 波數轉換(步驟S134)。接著M 率頻譜進行 接者,將該波數轉換後所取得之法 數轉換反射率儲存至記憶體部份212等(步驟§ 波 步,聊2〇0將波數轉換反射率進行與波數^相關之傅: 葉轉換’用以算出功率頻譜(步釋S138)。進一步,cpu 取得功率頻譜中所出現之波峰及該波峰對應之 作為第1層之膜厚丄並輸出(步驟sl4〇)。 將其 接著’ CPU 200根據步驟_所取得之第ι層之 d】,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SU2)。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)。進一步,CPU 200判斷算出的殘差是否在 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中⑽之情況),CPU 200改變第2層之臈厚&amp;的現在 值(步驟S148)。再者,膜厚i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 S142 。 相對地,當算出的殘差在既定臨界值以下之情況下(步 驟S146中YES之情況),CPU 200將第1層之膜厚丄及第 36 201007116 2層之臈厚i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I i相同’亦可使用考慮到波 長刀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3When the residual is not at the established threshold, the instruction is updated to the modeled portion 721 rate spectrum is output. On the other hand, the matching portion 722 transmits the parameter 'and then waits until the new reflection'. When the residual is below the predetermined threshold, the 12th figure shows the calculated medium thickness associated with the program type 1 according to the embodiment of the present invention. Flow chart of the method of the program. Referring to the 12th lap, the user places the object to be tested (sample) on the stage 5 (Fig. 1) (step s100). Thereafter, when the user issues the measurement preparation 30 201007116 command, the observation light source (the first drawing) starts to refer to the observation camera 38 for taking _', ..., and shooting. The display portion 39 is turned off and the stage position command is issued to the movable mechanism 51 for adjusting the adjustment and focusing of the measurement range (step S102). After the measurement range is adjusted and the 隹徭^ „ ..., the user releases the measurement start, the measurement light source 10 (i-th image) is opened # ”. The reflected light of the object to be tested is received, and the base light is received. The spectrum is measured by the data processing part of the 7G (step-shooting rate - O.CPO 4; 1 ^ ± 彳疋 伤 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 The CPU of the resource processing section 70 executes the film thickness calculation program described below. The CPU 200 displays the input screen on the display part of the game, and asks the user to input parameters (step sm). ::: input screen, etc., input the refractive index m and the attenuation number of the first layer of the object to be tested and the refractive index of the second layer of the object to be tested and the attenuation coefficient ^, the same as the film of the first layer The initial value of the film thickness d2 of the thickness dl and the second layer (step 11 0 ) ° Further, the CPU 200 calculates the theoretical value of the inverse spectrum according to the parameter input by the user (step S112). Next, for the memory portion, etc. The stored reflectance spectrum measured value and the reflectance spectrum theoretical value, pU 200 sequentially calculates the wavelength between the two The second multiplied deviation value is used to calculate the residual of the two (step S114) e further, cpu 2〇. It is determined whether the calculated residual 疋 is below the predetermined threshold (step S116). The calculated residual is not established. When the threshold value is equal to or less (in the case of NO in step 31, 201007116 and 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 layer (step S118). Further, the film thickness di and The extent to which the film thickness th is to be changed depends on the degree of occurrence of the residual. Then, it returns to step SU2 of the procedure. Conversely, when the calculated residual is below the predetermined threshold ( In the case of YES in step S116, the CPU 200 sets the film thickness d1 of the first layer and the film thickness of the second layer &amp; the film thickness (analytical value) of each layer of the object to be tested (step S120). Further, in the block diagram shown in Fig. 11, although the refractive indices ηι, η2 are referenced = the attenuation coefficient k!, kz is input at a fixed value, a refractive index considering the wavelength of the knife can be used. And the coefficient of decay. For example, the following Cauchy model can be considered The refractive index and the decay coefficient of wavelength dispersion: n(^) = ~ + -~+c where a, 0, c, c?, e, / represent the correlation coefficient in each layer. The coefficients in the middle can also be input with the preset initial 已 or A value, and these coefficients can also be used as the matching objects. Alternatively, the following Sel lmeier model can be used: , , medium, /, capacity, and SeUmeier coefficient. (2) Program type 2 Anti-feeding pattern 2 is a film thickness calculation program that can be performed when the refractive index of the second layer and the second layer is known and the coefficient of the layer is reduced. In the procedure pattern 2, the film thickness of each layer was determined by the fitting method. The frequency conversion by discrete Fourier transform is used to obtain a third film having a large film thickness, and the film thickness of the i-th layer is a fixed value, and the film thickness of the second layer is determined by a suitable method. Furthermore, in an embodiment, the least squares method can generally be used as the fitting method. Figure 13 is a block diagram showing the control structure for executing the film thickness calculation program relating to the program pattern 2 according to an embodiment of the present invention. In the block diagram of Fig. 13, the CPU 2GG reads out the program previously stored in the hard disk portion 21G or the like to the memory portion 212' and then executes it. Referring to the 13th 'data processing section 7' (i-th image) including the buffer portion 71, the wave number conversion portion 731, the buffer portion 7 guilt, the Fourier transform portion 733, the peak search portion 734, the model Part 735 and fitting part 736. The buffer damage 7 is used to temporarily store the measured reflectance spectrum rq) outputted by the spectrometry section 60. Furthermore, the specific architecture and processing contents have been described above, and will not be described here. The ▲ wave number conversion portion 731 receives the Uth parameter (refractive index (1) and the nuisance coefficient k1), and performs the wave number conversion on the reflectance spectrum RU of the temporary field buffer portion 71 according to the received parameter. In other words, the wave number transition portion 731 converts the correspondence between each wavelength in the reflectance spectrum D and the reflectance of each wavelength into gold ^e ^ , the wave number Κι ( λ ) associated with each wavelength, and utilization. Correspondence between the turbid wave number conversion reflectance configuration calculated by the above relational expression. More specifically, for each wavelength stored in the buffer portion 71, the wave number conversion portion 731 is sequentially 篡'number (ι(λ) and the wave number conversion reflectivity 33 201007116 巧(4)(=雄)/(ι- Male))), then, output to the buffer part. The buffer portion 732 converts the wave number, the wave number ΚΚ λ of the output portion 731, and the wave number conversion reflectance are stored correspondingly. That is to say, in relation to the wave number KK A ), the wave number conversion reflectance of the wave number conversion reflectance is particularly the second, that is, the wave number conversion reflectance (especially 1) is stored in the buffer portion. Fourier transform, part 733, converts the stored value of the buffer portion to the reflectance _), and performs the Fourier transform associated with the wave number: used to calculate the power spectrum P1. Furthermore, a fast Fourier transform (FFT) ^^^^(discrete c〇slne transf〇rm, DCT)^ can be utilized as a method of Fourier transform. The wave bee explores the power spectrum 算出 calculated by the partial m, ^ Fourier transform portion 733, and explores the wave thickness of the ^, which is used as the film thickness of the uth and is output. The film receiving portion 735 corresponding to the peak receives the parameter related to the object to be tested, and determines the model formula for the theoretical reflectance of the object (four) according to the connected number (determined by the use of the heart) Function, calculate each spectrum). Calculated ^ 4 Calculate the theoretical reflectance of each wavelength (the theoretical reflectivity of each wavelength of the frequency (four), is output to the appropriate part of the output, more specifically, the modeled part 735, the receiving part from the peak exploration (10) k2, at the same time, the refractive index of the 1st and 2nd layers is used to reduce the initial value of the media thickness d2 of the 2nd layer. In addition, the parameter can be saved in advance or the standard can be used. The parameters of the material are read in the same way as the above two. If necessary, the model is used to display the theoretical reflectivity, including the film of each layer: the layer of the object to be tested 0β: the reflectivity is the same, including at least the film thickness of each layer. The function of the value. 34 201007116 Furthermore, the modeling part 735 updates the function of displaying the theoretical reflectivity according to the parameter update instruction of the fitting part 736, and then calculates the wavelength according to the updated function ' Theoretical reflectivity (spectrum). More specifically, the modeled portion 735 sequentially updates the film thickness d2 of the second layer as a parameter, and the matching portion 736 reads the reflectance spectrum of the buffer portion 71. 'Using the modeled part 735 to output The theoretical value of the reflectance spectrum is used to sequentially calculate the squared deviation value of each wavelength between the two. Then, the fitting portion 736 calculates the residual from the deviation value of each wavelength, and then determines whether the residual is below a predetermined critical value. That is to say, 'matching some coffee to judge whether the current parameter is convergence. § The residual is not at the established threshold ^. 丨, T77 〖Get the parameter update instruction to the model part 735, and then wait until the new reflectivity The spectrum is output. On the other hand, when the residual is below the predetermined threshold value: = 736, the current film thickness dl of the first layer and the film thickness Φ2 of the second layer are used as analytical values and output. A flowchart of a method for calculating a program-type film thickness according to an embodiment of the present invention. In the fourth embodiment, the steps of steps S100 to S108 are denoted by the same reference numerals as the steps of the flowchart. The flow chart not shown here is different from the flowchart shown in the figure. The needle thickness calculation program will be described below. In step S132, the user enters the test according to the display (4) i. Layer refraction Ηι„(4)1^pictures etc. 'Transform 1 and the object to be tested 35th 201007116 The refractive index nz of the 2nd layer and the initial value of the attenuation coefficient d2. At the same time, the thickness of the 2nd layer is rounded, and then the CPU_. K1' is stored in the memory Zhao et al.: shot = wave number conversion (step S134). Then the M rate spectrum is transmitted, and the norm converted reflectance obtained after the wave number conversion is stored in the memory portion. 212, etc. (Step § wave step, talk 2〇0 to convert the wave number conversion reflectance to the wave number ^ correlation: leaf conversion 'to calculate the power spectrum (step S138). Further, the cpu takes the power spectrum to appear The peak and the peak correspond to the film thickness of the first layer and are output (step sl4). Next, the CPU 200 calculates the theoretical value of the reflectance spectrum based on d of the first layer obtained in step _ and the second layer parameter input by the user (step SU2). 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, cpu 2〇〇 sequentially calculates the squared deviation value of each wavelength between the two, and calculates the difference between the two. The residual (step S144). Further, the CPU 200 determines whether or not the calculated residual is equal to or lower than a predetermined threshold (step S146). _ When the calculated residual is not below the predetermined threshold (in the case of (10) in step S146), the CPU 200 changes the current value of the thickness of the second layer &amp; (step S148). Further, the extent to which the film thickness i is to be changed depends on the degree of occurrence of the residual. After that, return to step S142 of the program. On the other hand, when the calculated residual is below the predetermined threshold (in the case of YES in step S146), the CPU 200 treats the film thickness of the first layer and the current value of the thickness i of the 36th 201007116 layer as The film thickness (analytical value) of each layer of the object is measured and output (step S150). After that, the program ends. Further, 'the same as the above-described program type I i' can also be used in consideration of the refractive index and the attenuation coefficient of the wavelength knife. The detailed function has been explained above and will not be described here. (3) Program type 3

▲程序型樣3,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3中,相 較於上述之程序録2,相異在處在於,當算出第1層之 膜厚時’並不進行傅立葉轉換,而是利用最佳化之方法。 關於其它之程序’係與上述之程序型樣2相同。 第15圖係顯示依據本發明實施例,用以執行與程序型 樣3相關之膜厚算出程序之控制構造方塊圖。於第15圖所 =方塊圖中,cPU2GG將事先存於硬碟部份2iq等的程 式讀出至記憶體部份212,然後加以執行。 背nr1,資料處理部份70(第1圖)包括緩衝器 :、最佳化演算部份741、模型化部份W及配適部 實:ΠΓ71’用以暫存分光測定部份60所輸出之 譜Ru)。再者,具體架構及處理内容已詳 述如上,於此不加贅述。 匕孑 最佳化演算部份m,利用_等最佳化之方 析鍰衝器部份71所儲;^ t 解 出第工層之膜厚率頻譜之頻率成分,用以算 更具體地’最佳化演算部份741利用 37 201007116 自我迴歸模型,用以取得相對於反射率頻譜實測值之自我 相關函數,並由這些值決定用來描述自我迴歸模型之自我 迴歸係數。最佳化演算部份741以此方式進行頻率解析, 用以取得對應於主成分波長之臈厚,將其作為第〗層之膜 厚d,並輸出。再者,在執行最佳化之方法前,最佳化演算▲ Program pattern 3 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 program pattern 3, compared with the above-mentioned program record 2, the difference is that when the film thickness of the first layer is calculated, 'the Fourier transform is not performed, but the method of optimization is used. The other programs are the same as the above-described program pattern 2. Fig. 15 is a block diagram showing the control structure for executing the film thickness calculation program relating to the program type 3 according to the embodiment of the present invention. In the block diagram of Fig. 15, the cPU 2GG reads out the program previously stored in the hard disk portion 2iq and the like to the memory portion 212, and then executes it. The back nr1, the data processing part 70 (Fig. 1) includes a buffer: an optimization calculation part 741, a modeled part W, and an adaptation part: ΠΓ71' is used for temporarily storing the output of the spectrometry part 60 The spectrum Ru). Furthermore, the specific architecture and processing contents have been described above, and will not be described here.匕孑 Optimizing the calculation part m, using the _ _ optimization optimization of the 锾 器 部份 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 The 'Optimization Calculus Part 741 uses the 37 201007116 self-regression model to obtain a self-correlation function relative to the measured values of the reflectance spectrum, and the values used to describe the self-regressive coefficients of the self-regression model. The optimization calculation section 741 performs frequency analysis in this manner to obtain the thickness corresponding to the wavelength of the principal component, and uses it as the film thickness d of the first layer, and outputs it. Furthermore, optimize the calculus before performing the optimization method

部份741接收第1層之膜厚小之檢索範圍、第丨層之折Z 率⑴及消衰係數kl、及第2層之折射率n2及消衰係數 同時,接收第2層之膜厚心暫定值。再者,亦可由使用者 ❹ 輸入各參數,或者亦可將標準性材質之參數以標案等事先 儲存’必要時再讀出。 模型化部份742及配適部份743,接收最佳化演算部 份川所算出之第i層之膜厚&amp;及待測物相關之參數,並 利用配適來決定第2層之膜厚心。模型化部份⑷及配適 部份743之程序,分別與上述之程序型樣2之模型化部份 5及配適部份736相同,於此不加贅述。 ❹ 第16圖係顯示依據本發明實施例之程序型態3相關之 膜厚算出程序之方法流程圖。於第Μ圖所示之流㈣各步 驟中,步驟_〜S1G6之程序,與第12圖所示之流程圖, 表示相同之步驟,於此不加贅述。以下將針 對與第1 2圖所示&gt;^ 流程圖不同之處,即步驟S162之後的 膜厚算出程序進行說明。 ,於步驟S162中,使用者根據所顯示之輸入晝面等,輸 2測物第1層之膜厚dl之檢索範圍、待測物第1層之折 …、ηι及消衰係數kl、及待測物第2層之折射率…及消衰 38 201007116 係數k2。 ,解析緩衝器部份 用以算出第1層之 然後,CPU 200利用最佳化之方法 212所儲存之反射率頻譜之頻率成分, 膜厚dl(步驟S164)。 接著’⑽200根據波算出反射率頻譜之理論 si⑹。接下來,針對記憶體部份212等所儲存之^驟 ❿ =值與反射率頻譜理論值,cpu 2。。㈣算出兩者: 灣:乘偏差值,用以算出兩者之間之殘差(步驟 進一步,CPU 200判斷算出的殘差是否在既定臨界 值以下(步驟S170)。 當算出的殘差不在既定臨界值以下之情況下(步驟 川〇中NO之情況),CPU 2〇〇改變第2層之膜厚心的現在 值(步驟S1 72)。再者,膜厚心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 S166 。 ❹ 相對地’當算出的殘差在既定臨界值以下之情況下(步 驟S170中YES之情況),cpu 200將第1層之膜厚&amp;及第 2層之膜厚dz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4 - 程序型樣4,係為改良程序型樣1之方法’用以根據 39 201007116 配適更確實地收斂。換言之 ’ * ’曰 矛 2層之臈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,然後利用這些初始值及配 適’來決定第1層及第2層之膜厚。 第17圖係顯示依據本發明實施例,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Η圖所 不之方塊圖中,CPU 2〇〇將事先存於硬碟部份2ι〇等的程 式讀出至記憶體部份212,然後加以執行。 第17圖所示之程序型樣4相關之控制構造除了增加 最佳化演算部份75卜係與第η圖所示之程序型樣&quot;:關 之控制構造實質上相同。 最佳化演算部份75卜利用MEM等最佳化之方法, 析緩衝器部份71㈣存之反射率 ai瞀山蚀 、两午成分’用以分 別算出第1層之膜厚cl·及第2層之膜屋η枯 臂又膜厚心。特別地,悬# ❿ ^算^份751解析實測之反射率頻譜之頻率,用以祿取 ㈣件到的兩個以上的波峰,再由這些料所對應 厚,用以分別算出第1層之膜厚d 者,斛管山⑯ 序⑴及第2層之膜厚d2。再 作a 之1層之膜厚^及第2層之膜厚1,係用以 -配適之初始值’因此不需嚴密的精確度 化演算部们51具體的頻率解析方法 :,最佳 算部份74i相同,於此不加贅述。 、迷之最佳化演 ^型化部份721及配適部份如,接收 伤751所算出之第i層之膜厚 肩算邛 及第2層之臈厚將其 40 201007116 作為初始值’利用配適來決定原本之 1增之胺原Ηιβ第 2層之膜厚&amp;。模型化部份721及配適 容已說明如上,於此不加費述。Μ份吻之程序内 第18圖係顯示依據本發明實施例 瞄度曾山程序型態4相關之 膜厚算出程序之方法流程圖。於第18 m ^ m 固所不之流程圖中, 係权置步驟S111A及S111B之程序,用 ^ ^ ^ 汴用M代替第12圖所示 ❿ =圖:步驟SU°。關於其它之程序,係以相同符號表示 與第圖程序相異 疋處。 參考第18圖’步驟⑽執行後,執行步驟議之 :序。於步驟請中,使用者根據所顯示之輸入畫面等, 輪入待測物第i層之折射率ηι及消衰係數^、及待測物第 層之折射率Π2及消衰係數k2,同時, ^檢索範圍及第2層之膜之檢索範圍。於接下來; = su1B中,CPU⑽利用最佳化之方法,解析緩衝器 :乃12所儲存之反射率頻譜之頻率成分,用以算出第1 之膜厚dl及第2層之膜厚&amp;。步驟SHU所算出之第【 之膜厚d】及第2層之膜厚丄’係作為初始值使用。接下 / ’於步驟S111B後,與第12圖之步驟SU2之後, 行相同之程序。 再者肖上述之程序型樣1相同,亦可使用考慮到波 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。 、 (5)程序型樣5 41 201007116 Ϊ層之媒厚,只解析另一The portion 741 receives the search range of the film thickness of the first layer, the Z-rate (1) of the second layer, the decay coefficient kl, the refractive index n2 of the second layer, and the decay coefficient, and simultaneously receives the film thickness of the second layer. Heart tentative value. Furthermore, the parameters may be input by the user ,, or the parameters of the standard material may be stored in advance by using a standard or the like, and then read out if necessary. The modeled portion 742 and the matching portion 743 receive the film thickness &amp; and the parameters related to the object to be tested calculated by the optimization algorithm, and determine the film of the second layer by using the fit. Thick heart. The procedures for modeling part (4) and fitting part 743 are the same as those of modeled part 5 and fitting part 736 of the above-mentioned program type 2, and are not described here. Fig. 16 is a flow chart showing the method of calculating the film thickness associated with the program type 3 according to the embodiment of the present invention. In the steps of the flow (4) shown in the figure, the procedure of the steps _~S1G6 and the flowchart shown in Fig. 12 indicate the same steps, and the details are not described herein. Hereinafter, a film thickness calculation program which is different from the flowchart shown in Fig. 2, that is, after step S162 will be described. In step S162, the user inputs the search range of the film thickness dl of the first layer of the test object, the fold of the first layer of the object to be tested, the ηι and the decay coefficient kl, according to the displayed input surface or the like. The refractive index of the second layer of the object to be tested... and the attenuation 38 201007116 The coefficient k2. The analysis buffer portion is used to calculate the first layer. Then, the CPU 200 uses the frequency component of the reflectance spectrum stored by the optimization method 212, and the film thickness d1 (step S164). Then '(10)200 calculates the reflectance spectrum from the wave si(6). Next, for the memory portion 212 and the like, the stored ❿ = value and the reflectance spectrum theoretical value, cpu 2. . (4) Calculating both: Bay: Multiplying the deviation value to calculate the residual between the two (step further, the CPU 200 determines whether the calculated residual is below the predetermined threshold (step S170). The calculated residual is not established. When the threshold value is less than or equal to the value of NO in the step (the case of NO in the Chuanxiong), the CPU 2〇〇 changes the current value of the film thickness of the second layer (step S1 72). Further, in which direction the film thickness is to be carried out The degree of change depends on the degree of occurrence of the residual. Then, it returns to step S166 of the program. 相对 Relatively when the calculated residual is below the predetermined threshold (YES in step S170), cpu 200, the current value of the film thickness of the first layer &amp; and the film thickness dz of the second layer is used as the film thickness (analytical value) of each layer of the object to be tested (step S174). Thereafter, the program is terminated. The program pattern 1 is the same, and the refractive index and the attenuation coefficient considering the wavelength dispersion can also be used. The detailed function has been described above, and will not be described here. (4) Program pattern 4 - program pattern 4, is The method of improving the program type 1 is used according to 39 201007116 The matching is more surely converged. In other words, the initial value is very important in order to fit the film thickness of each layer of the test layer of the '*' spear 2 layer. Therefore, the program pattern 4 first The initial values of the film thicknesses of the respective layers are determined by an optimization method, and then the film thicknesses of the first layer and the second layer are determined by using the initial values and the fits. FIG. 17 is a view showing an implementation according to an embodiment of the present invention. The control structure block diagram of the film thickness calculation program related to the program pattern 4. In the block diagram of the second drawing, the CPU 2 reads the program previously stored in the hard disk portion 2, etc. to the memory portion. Part 212, and then executed. The control structure related to the program type 4 shown in Fig. 17 is in addition to the optimization of the calculation part 75 and the program type shown in the figure η: The same is true. The optimization calculation section 75 uses the MEM or other optimization method to analyze the reflectance of the buffer portion 71 (4), the ai 瞀 瞀, and the two-day component 'to calculate the film thickness of the first layer, respectively. · And the second floor of the membrane house η dry arms and film thick heart. In particular, hanging # ❿ ^ ^Part 751 analyzes the frequency of the measured reflectance spectrum, and uses it to take two or more peaks from the (four) pieces, and then the thicker corresponding to these materials, to calculate the film thickness d of the first layer, respectively. 16 The film thickness d2 of the order (1) and the second layer. The film thickness of the layer 1 of the layer a and the film thickness of the layer 2 of the second layer are used for the initial value of the fit. Therefore, no strict precision calculation is required. The specific frequency analysis method of the department 51: The best calculation part 74i is the same, and will not be described here. The optimization of the part 721 and the fitting part of the fascia are as calculated by receiving the injury 751. The thickness of the shoulder layer of the i-th layer and the thickness of the second layer are determined by the 40 201007116 as the initial value 'the thickness of the second layer of the original layer of the original amine Ηβ. The modeled portion 721 and the fit have been described above and will not be described here. In the program of the kiss, Fig. 18 is a flow chart showing the method of calculating the film thickness associated with the Zengshan program type 4 according to the embodiment of the present invention. In the flowchart of the 18th m ^ m solid state, the procedures of steps S111A and S111B are used, and M is replaced by ^ ^ 汴 第 图 = graph: step SU°. Regarding other programs, the same symbols are used to distinguish them from the first program. Referring to Figure 18, after the execution of step (10), the steps are as follows: In the step, the user enters the refractive index ηι of the i-th layer of the object to be tested and the decay coefficient ^, and the refractive index Π2 and the attenuation coefficient k2 of the first layer of the object to be tested, according to the input screen displayed. , ^ Search range and the search range of the second layer of film. In the next step; = su1B, the CPU (10) uses the optimization method to analyze the buffer: the frequency component of the reflectance spectrum stored in the 12th, for calculating the film thickness dl of the first film layer and the film thickness of the second layer &amp; . The film thickness d and the film thickness 第' of the second layer calculated in the step SHU are used as initial values. Next, after the step S111B, the same procedure as the step SU2 of the Fig. 12 is performed. Further, in the case of the above-described program pattern 1, the refractive index and the attenuation coefficient in consideration of the dispersion can be used. The detailed function has been explained above and will not be described here. (5) Program type 5 41 201007116 The layer thickness of the layer is only analyzed by another

示之方塊圖中,CPU 200 程序塑樣5,係為已知其中 層膜厚之情況下所適用之方法, 例。於以-下之說明中,待測舳筮 之控制構造方塊圖。於第19圖所 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19圖所示之與程序型樣5相關之控制構造,係配置馨 11圖所示之與程序型樣1相 模型化部份721A,用以於第11圖所示: 關之控制構造中,代替模型化部份721。 1層之折射率ηι及消衰係數 模型化部份721A接收第1 ^,以及第2層之折射率m及消衰係數kz,同時接收第 1層之膜厚&amp;初始值及第2層之膜厚ch已知值(已知值)。 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η«及消衰係數ko。 再者’模型化部份721A根據配適部份722之參數更新 指令,用以依序更新第丨層之膜厚心,再根據更新後之第 1層之膜厚dl’對顯示理論反射率之函數進行更新。進— 步,模型化部份721A根據更新後之函數,算出各波長之理 論反射率(頻譜)。根據此一方式,第1層之膜厚i係用配 適法決定。_ 關於其它之架構,已詳述如上,於此不加贅述。 42 201007116 第20圏係顯示依據本發明實施例之程序型態5相關之 膜厚算出程序之方法流程圖。於第2G圖所示之流程圖中, 係設置步驟S110A、S118A&amp; sl2〇A之程序,用以代替第 12圖所示流程圖之步驟sn〇、幻18及si2〇。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12圖程序相異之處。 參考第20圖’於步驟S110A中’使用者根據所顯示之 φ 輸入畫面等’輸入待測物第丨層之折射率⑴及消衰係數^ 及待測物第2層之折射率nz及消衰係數匕,同時,輸入第 1層之膜厚d】之初始值及第2層之膜厚d2之已知值。 於步驟sim中’ CPU 200改變第i層之膜厚d之現 在值。換言之,於程序型樣5中,僅第i層之膜厚丄為配 適之對象。 於步驟S120A中,當算出的殘差在既定臨界值以下之 it況下’ cpu 200將第i層之媒厚di之現在值作為待測物 φ 各層之膜厚(解析值)並輸出。 再者,與上述之程序型樣&quot;目同,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1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。 43 201007116 第21圖係顯示依據本發明實施例,心執行與程序型 樣6相關之膜厚算出程序之控制構造方塊圖。於第Μ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_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 換部份731、緩衝器部份732、傅 探索部份734。 傅立葉轉換部份如及波峰 由配==,於此程序型樣中’待測物第1層之膜“ ^法決疋,不過’當配適無法於規定次數内收 況下,則利用傅立葉轉換來決定第!層之膜厚d” 配適部份722A讀出緩衝器部份7 值,之後,傳送來數之反射率頻譜實測 傻料參數更新指令至模型化部份咖 述實測值與模型化部份721 兩者間之殘差在既定臨界值以下。進=射率頻譜理論值 =:下::之演算後’殘差也無法在既定臨界值:; 傅立葉轉換來波數轉換部份731,利用 好采决夂第1層之膜厚d10 再者,關於波數轉換部份731、 葉轉換部份733及,緩衝器部份732、傅立 之程序型樣二 份I已配合第13圓所示 μ傈2說明如上,於此不加贅述。 第22圖係顯示依據本發明實施 膜厚算出程序之方法流程圖。於第22圈=型'%6相關之 圖所不之流程圖中, 44 201007116 •係增加第20圖所示流程圖之步驟S117,同時增加第14圖 所不流程圖之步驟S134〜S140。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^ 圖及第20圖程序相異之處。 •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SU7中N0之情況)下,執行完步驟sm 春之料後,程序回到之步驟SU2。相對地,配適程序已重 複規疋次數以上之情況(步驟SU7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1層 之膜厚d”關於這些步驟之程序,係已說明如上,於 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 •定’基板膜厚之測定結果。#者,於第23圖中,係顯示 將反射率頻譜進行頻率轉換(m轉換)後,所得到之功率 圖係顯示第1層Si層之膜厚為22._,且第 2層Sl°2層之臈厚為3·0⑽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mo⑽ 之成分來進行頻率鐘„ 轉換。其結果疋,於21. 8613μηι所對應 之位置上產生最大波峰。 . 第23(b)圖係顯千笛^ a。.货 顯不第1層Si層之膜厚為32. 〇um,且第 45 201007116 2層Sl〇2層之膜厚為2.0μιη之SOI基板的測定結果。於第 23(b)圖中’係利用所測定之反射率頻譜中1500nm〜1 600nm 之成分來進行頻率轉換。其結果是,於3〇.6269μιη所對應 之位置上產生最大波峰。 第23(c)圖係顯示第!層Si層之膜厚為i6 〇um,且第 2層Sl0z層之膜厚為1. 3μιη之SOI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nffi〜16〇〇nm 之成分來進行頻率轉換。其結果是,於l5.9〇69|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1〇〇,主要根據 紅外線光域之反射率頻譜來測定待測物〇Bj之膜厚,因 此,從測定用光源10 (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料, 但紅外線光域之光能夠穿透。 . 第24圖係顯示利用本發明實施例之膜厚測定裝置1 〇〇 來測定其上配置有不透明焊墊(pad)之待測物〇BJ之示意 圖。 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OBJ上面(測定光之照射侧)。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 46 201007116 成n㈣焊墊52’其穿透量雖少’卻能夠讓紅外線 光域(舉例而言’ 900〜1600 nm)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I芙板 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 圖係顯示利用具有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52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。 第27圖係顯示第25圖及第26圖所示之焊塾52,在 沒有被配置之狀態下,透過反射率頻譜所取得之功率頻 譜。第28圖係顯示第25圖及第26圖所示之焊墊52,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1〇倍倍率之放大透鏡來作為 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40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 47 201007116 墊’大致上得到相同之功率頻譜。 對此’利用具有10倍倍率之放大透鏡來作為接物鏡 40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,可利用本實施例之模厚測定裝置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。其 中,對照射測定光之光學系統及接收反射光之光學系統而 φ 言,需有能夠排除擴散光影響之設計。 《變形例》 亦可利用Y型光纖作為先學系統,用以對待測物〇BJ 進行測定光之照射及反射光之接收。 第2 9圖係顯示依據本發明另一實施例之膜厚測定裳 置100#之光學系統結構囷。 參考第29圖,膜厚測定裝置100#作為光學系統,係 將測定用光源1〇(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1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γ 型光纖形成。 測定用光源10 (第1圖)所產生之測定光,通過第一分 48 201007116 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 〇 除此之外,投受光光纖56及待測物OBJ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1〇〇#,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。 第30圖係顯不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臈厚之示意圖。 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&amp; 58 1後’投受光光纖56之投受光口側之一 4伤浸在*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㈣58以水作為溶料,上述之紅外線光域 ⑽〇〜!__中,進行臈厚測定時,最好制已去除水的 吸收波長之光域。具體地,水中會吸收約職^以上之波 長光域,對於待編BJ之膜厚測定而言最好利用_ 〜1320nm範圍之反射光頻譜。 《其它實施例》 本發月之程#用以作為電腦作業系統⑽)的 而被提供至程式模組中,亦可將必要之模組以既定排列方 式及時料叫後再執行相關程序。於此情況下, 不包含上述模組,而是和作業系統合作執行相關程序。不 49 201007116 包含此一模組之程式,亦 亦可包含於本發明之程式中。 進一步,本發明之卷爷 . 程式’亦可以編入其它程式之一部 份。於此情況下,上述其 、匕転式包含之模組亦不包含於程In the block diagram shown, the CPU 200 program mold 5 is a method suitable for the case where the film thickness is known. In the description of the following, the block diagram of the control structure to be tested. The program stored in advance on the hard disk portion 21, etc. is read out to the memory portion 212 in Fig. 19, and then executed. The control structure related to the program type 5 shown in Fig. 19 is configured with the program type 1 phase modeling portion 721A shown in Fig. 11 for use in the control structure of Fig. 11 Instead of the modeled part 721. The refractive index ηι of the first layer and the attenuation factor modeling portion 721A receive the first ^, and the refractive index m of the second layer and the attenuation coefficient kz, while receiving the film thickness &amp; initial value of the first layer and the second layer The film thickness ch is known (known value). 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. Further, if necessary, the refractive index η« of the atmosphere and the attenuation coefficient ko may be input. Furthermore, the modeled portion 721A is used to sequentially update the film thickness of the second layer according to the parameter update instruction of the matching portion 722, and then display the theoretical reflectance according to the updated film thickness dl' of the first layer. The function is updated. Further, the modeled portion 721A calculates the theoretical reflectance (spectrum) of each wavelength based on the updated function. According to this aspect, the film thickness i of the first layer is determined by an appropriate method. _ Regarding other architectures, as described above, it will not be described here. 42 201007116 Section 20 shows a flowchart of a method for calculating a film thickness according to the program type 5 of the embodiment of the present invention. In the flowchart shown in Fig. 2G, the procedures of steps S110A, S118A & sl1〇A are set in place of the steps sn, phantom 18 and si2 流程图 of the flowchart shown in Fig. 12. The procedures for the other procedures are denoted by the same reference numerals and are not described herein. The following is a description of the differences from the program in Figure 12. Referring to FIG. 20', in step S110A, 'the user inputs the refractive index (1) of the second layer of the object to be tested according to the displayed φ input screen, etc., and the refractive index φ of the second layer of the object to be tested and the refractive index nz of the second layer of the object to be tested. The decay coefficient is 匕, and at the same time, the initial value of the film thickness d] of the first layer and the known value of the film thickness d2 of the second layer are input. In step sim, the CPU 200 changes the present value of the film thickness d of the i-th layer. In other words, in the program pattern 5, only the film thickness 第 of the i-th layer is suitable for the object. In step S120A, when the calculated residual is below the predetermined threshold value, the cpu 200 uses the current value of the dielectric thickness di of the i-th layer as the film thickness (analytical value) of each layer of the object φ to be output. Further, similarly to the above-described program type, 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. (6) Program pattern 6 The program pattern 6' is a modified example in which the film thickness of one layer is known and only the film thickness of the other layer is analyzed. In the following description, the film thickness of the second layer of the test object is known, and the film thickness of the first layer is determined by the fitting method or Fourier transform. 43 201007116 Fig. 21 is a block diagram showing the control structure of the film thickness calculation program relating to the program type 6 according to the embodiment of the present invention. In the block diagram shown in the figure, the CPU 200 reads out the program previously stored in the hard disk portion 21, etc., to the memory portion 212, and then executes it. The structure associated with the program type 4 shown in FIG. 21 is a configuration portion 722A for replacing the fitting portion 722 with the control structure related to the program pattern 4 shown in FIG. At the same time, the wave changing portion 731, the buffer portion 732, and the rich search portion 734 are further added. The Fourier transform part and the peak are matched with ==. In this program type, the film of the first layer of the object to be tested is determined by the method, but when the fit is not within the specified number of times, the Fourier is used. The conversion determines the film thickness d′ of the layer! The matching portion 722A reads the buffer portion 7 value, and then transmits the reflected reflectance spectrum to measure the parameter update instruction to the modeled part of the measured value and The residual between the modeled part 721 is below the established threshold. The theoretical value of the input=radiation spectrum==================================================================================================== Regarding the wave number conversion portion 731, the leaf conversion portion 733, and the buffer portion 732 and the program type II of the Fourier, the μ傈2 shown in the thirteenth circle has been described above, and will not be described herein. Figure 22 is a flow chart showing the method of implementing the film thickness calculation program in accordance with the present invention. In the 22nd circle = type '%6 related figure, the flowchart is not shown, 44 201007116 • The step S117 of the flowchart shown in Fig. 20 is added, and the steps S134 to S140 of the flowchart shown in Fig. 14 are added. For the other procedures, the same steps are denoted by the same symbols, and are not described herein. The following description differs from the program of Fig. 20 and Fig. 20. • Referring to Fig. 22, in step S117, cpu 2〇〇 determines whether the adaptation procedure has been repeated a predetermined number of times or more. The fitting procedure is not repeated for the specified number of times (in the case of N0 in step SU7), after the execution of the step sm spring material, the program returns to step SU2. On the other hand, if the matching program has been repeated for more than the number of times (in the case of YES in step SU7), the program proceeds to step S134. In steps S134 to S140, the film thickness d of the first layer is determined by Fourier transform. The procedure for these steps has been described above, and is described in detail. "Measurement Example" Fig. 23 shows the use of the embodiment of the present invention. The film thickness measuring device measures the measurement result of the 'thickness of the substrate'. In the 23rd figure, after the frequency conversion (m conversion) of the reflectance spectrum is performed, the obtained power map shows the first layer of Si. The film thickness of the layer is 22._, and the measurement result of the SOI substrate having a thickness of 3·0 (10) in the layer of the second layer of Sl2 is used. In the figure 23(a), the mo(10) in the reflectance spectrum measured by the system is used. The components are used to perform the frequency clock „ conversion. As a result, a maximum peak is generated at a position corresponding to 21. 8613μηι. Figure 23(b) shows a thousand flutes ^ a. The film thickness of the first Si layer is 32. 〇um, and the measurement result of the SOI substrate of the layer of the layer of the layer of the layer of the layer of the layer of the layer of the layer of the layer of the layer of the layer of the layer of the layer of the layer of In Fig. 23(b), the frequency conversion is performed using a composition of 1500 nm to 1 600 nm in the measured reflectance spectrum. As a result, a maximum peak is generated at a position corresponding to 3〇.6269μηη. Figure 23(c) shows the first! The film thickness of the Si layer is i6 〇um, and the film thickness of the second layer S10z layer is 1.3 μm. In Fig. 23(c), the frequency conversion is performed using a component of 14 〇〇 nffi 〜 16 〇〇 nm in the measured reflectance spectrum. As a result, the maximum peak is generated at the position corresponding to the l5.9〇69|Jin. @ This shows that the above test results are generally good. <<Presence of Masking Material As described above, the film thickness measuring apparatus 1 of the present embodiment mainly measures the film thickness of the object to be tested 〇Bj based on the reflectance spectrum of the infrared light field, and therefore, from the light source 10 for measurement ( Fig. 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 region can penetrate. 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 实施 of the embodiment of the present invention. 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 OBJ (measurement side of the light) . The opaque pad 52' is an abrasive body used for the grinding process, and is mainly made of a polymer resin shape 46 201007116 into an n (four) pad 52' which has a small amount of penetration but is capable of allowing an infrared light field (for example, '900~ 1600 nm) light penetration. Fig. 25 and Fig. 26 are views showing measurement results of an Ig plate on which an opaque pad 52 is placed by using 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 as the objective lens 40. (Results of Figures 1 and 24). In addition, in Fig. 25 and Fig. 26, for comparison, the results in the state in which the opaque pad 52 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. Fig. 27 is a view showing the power spectrum obtained by transmitting the reflectance spectrum of the pad 52 shown in Fig. 25 and Fig. 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 pads 52 shown in Figs. 25 and 26 are arranged. Referring to Fig. 25, in the case where the magnifying lens having a magnification of 1 〇 is used as the objective lens 40, as a result of the presence of the opaque pad 52, the noise component is increased as compared with the case where the opaque pad 52 is not present. On the other hand, in the case of using the magnifying lens having a magnification of 2.83 times as the objective lens 40, the result of the opaque pad 52 is substantially the same as that when the opaque pad 52 is not present. The periodicity is fully determined. 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 spectrum is obtained substantially regardless of whether or not the opaque solder 47 201007116. In the case where the magnifying lens having a magnification of 10 is used as the objective lens 40, it is understood 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 mold thickness measuring device 1 of the present embodiment. Among them, for an optical system that illuminates the measuring light and an optical system that receives the reflected light, it is necessary to have a design that can eliminate the influence of the diffused light. <<Modifications>> Y-type optical fiber can also be used as a pre-learning system for measuring the measurement of the light 及BJ and receiving the reflected light. Fig. 29 is a view showing the structure of the optical system of the film thickness measuring apparatus 100# according to another embodiment of the present invention. Referring to Fig. 29, the film thickness measuring device 100# is an optical system in which the measuring light guide of the measuring light source 1 (Fig. 1) is directed to the object to be tested 0BJ, and the reflected light of the test object OBJ is guided to the detecting portion. 64 (Fig. 1), and has a light-receiving 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 optical fiber 56 is formed of a germanium (Ge) doped single-line gamma fiber. The measurement light generated by the light source 10 for measurement (Fig. 1) is incident on the object to be tested 〇BJ through the first branch 48 201007116 of the optical fiber 56a, and the reflected light generated by the object 〇BJ is reflected by the second branch. The optical fiber 56b is guided to the detecting portion 64. A pinhole optical system 54 as an aperture is disposed between the light-receiving optical fiber 56 and the object to be tested OBJ. According to the film thickness measuring apparatus 1# shown in Fig. 29, even if the object OBJ is placed in a solution such as a polishing liquid, the film thickness can be measured. Fig. 30 is a view showing the measurement of the thickness of the analyte 〇BJ in the solution without 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 the table 57 via a spacer, which is filled with the solution of the slurry or the like, and then the optical fiber 56 is received. One of the light-receiving side of the light-receiving side is immersed in the liquid 58. With this structure, the film thickness of the analyte OBJ in the solution can be determined. Furthermore, when (four) 58 uses water as a solvent, the above-mentioned infrared light field (10) 〇 ~! In __, when measuring the thickness of the crucible, it is preferable to prepare the optical domain of the absorption wavelength of the removed water. Specifically, the water absorbs the wavelength field of about ^^2, and it is preferable to use the reflected light spectrum of the range of _~1320 nm for the film thickness measurement of the BJ to be edited. <<Other Embodiments>> The program of this month is provided as a computer operating system (10) to the program module, and the necessary modules can be called in a predetermined arrangement and then executed. In this case, the above modules are not included, but the related programs are executed in cooperation with the operating system. 49 49071071 A program containing such a module may also be included in the program of the present invention. Further, the program of the present invention can also be programmed into one of the other programs. In this case, the above-mentioned modules containing the 匕転 type are not included in the process.

式本身中,而是和其夕,i__L 、匕程式合作執行相關程序。被編入此 一其它程式之程式,亦可念 仆了包含於本發明之程式中。 所提供之程式製品,被 被女裝於硬碟等之程式儲存部份 執行。再者,程式镅Q,及^, 口0係匕括程式本身及記憶程式之記 憶媒體。In the formula itself, but in conjunction with its eve, i__L, 匕 program to perform related procedures. The program incorporated in this other program can also be included in the program of the present invention. The program products provided are executed by the women's program storage unit such as a hard disk. Furthermore, the program Q, and ^, port 0 are the memory of the program itself and the memory program.

進步根據本發明程式所實現之一部份或全部功) 亦可由專用之硬體構成。 ,根據本發明之實施例’將測定光照射在待測物後所3 得反射率頻譜(或者為穿透率頻譜),用來獨立算出構7 待測物各層之膜厚時,⑴FFT等之離散傅立葉轉換,心 利用麵等最佳化之方法,用以算出主要之波數成分,幻 而決定膜厚之方法’⑺利用模型式之配適來決定膜厚之jProgressive part or all of the work performed in accordance with the program of the present invention may also be constructed of dedicated hardware. According to the embodiment of the present invention, the reflectance spectrum (or the transmittance spectrum) obtained by irradiating the measurement light to the object to be tested is used to independently calculate the film thickness of each layer of the structure to be tested, (1) FFT, etc. Discrete Fourier transform, the method of optimizing the surface of the heart, etc., to calculate the main wavenumber component, and the method of determining the film thickness by the illusion' (7) Using the fit of the model to determine the film thickness

法’能夠選擇性地執行。以此方式,即使構成待測物之為 數量很多、或各層之膜厚差距很大之情況τ,也能夠更五 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,對餘構成待測物各層之膜厚,能夠適杂地抓 定測定光之波長範圍(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 發明也不限於此,因此本發明之保護範圍當視後附之申請 50 201007116 •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 略架構圖。 彳之膜厚測定裝置之概 第2圖係顯示作為本發明實施 定對象的待測物剖面圖。 膜厚%疋裝置之測 第3(a)圖至第3(c) 馨厚測定裝要A 固竹顯不利用本發明實施例之膜 裝置來測^SGI基板後之測定結果示意圖。 厚、則圖至f 4(b)圖係顯示利用本發明實施例之膜 疋裝置來測定咖基板後之另一測定結果示意圖。 第5(a)圖至第5(b)圖係顯示利用本發明實施例之膜 厚測定裝置來測定如基板後之另一測定結果示意圖。 第6(a)圖至第6(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 φ 及與檢測點數之關係。 第7(a)圖至第7(b)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。 第8(a)圖至第8(b)圖係顯示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定裝置,其測定結果之 模擬結果示意圖。 第9圖係顯示s〇 I基板相關之反射率頻譜的測定結果 示意圖。 51 201007116 第ίο圖係顯示依據本發明實施例之資料處理部份 略硬體架構圖。 第11圖係顯示依據本發明實施例’用以執行與程序型 樣1相關之膜厚算出程序之控制構造方塊圖。 =2圖係顯示依據本發明實施例之程序型態i相關之 犋厚具出程序之方法流程圖。 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。 m 腔厘^ U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。 第15圖係顯示依據本發明實施例’用以執行與程序型 樣3相關之膜厚算出程序之控制構造方塊圖。 ^16圖係顯示依據本發明實施例之程序型態3相關之 膜厚算出程序之方法流程圖。 第17圖係顯示依據本發明實施例,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。 腺厂=18圖係顯示依據本發明實施例之程序型態4相關之 厚算出程序之方法流程圖。 第19圖係顯示依據本發明實施例’用以執行與程序型 5相關之膜厚算出程序之控制構造方塊圖。 第20圖係顯示依據本發明實施例之程序型態5相關之 膜厚算出程序之方法流程圖。 第21圖係顧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。 52 201007116 •第22圖係顯示依據本發明實施 膜厚算出程序之方法流程圖。 之程序型態6相關之 第23(a)圖至第23(c)圖係顯示利用 膜厚測定裝置測定SOI基板膜厚之測定結果。 施例之 第24圖係顯示利用本發明實施例之膜厚測定裝置來 測定其上配置有不透明焊塾(pad)之待測物之示意圖。 第25圖,係顯示利用本發明實施例之膜厚測定裝置來 ❶測定其上配置有不透明焊墊之s〇I基板之測定結果圖。 第26圈’係顯示利用本發明實施例之膜厚測定裝置來 測定其上配置有不透明焊墊之s〇I基板之測定結果圖。 第27圖係顯不第25圖及第26圖所示之焊塾在沒有 被配置之狀態下’透過反射率頻譜所取得之功率頻t 第28圖係顯示第25圖及第26圖所示之焊n㈣ 置之狀態下’透過反射率頻譜所取得之功率頻譜。 第29圖係顯示依捷太路 ·.之光學系統結構圖。發…實施例之膜厚測定裝 第30圖係顯示利用本發明另—實施例之膜厚測定裝 置來測定溶液中待測物膜厚之示意冑。 【主要元件符號說明】 1 0 0〜膜厚測定裝置; 10 ~測定用光源; 12〜聚焦透鏡; 14、66〜濾光鏡; 53 201007116 16、36〜成像透鏡; 18〜光圈; 20、30〜分光鏡; 22〜觀察用光源; 24、56、56a、56b~ 光纖; 26~射出部份; 26a〜遮罩部份; 32〜針孔反射鏡; 3 2 a ~針孔; 34~軸轉換反射鏡; 38〜觀察用攝影機; 39〜顯示部份; 40~接物鏡; 5 0 ~載物臺; 51〜可動機構; 60〜分光測定部份; 52~焊墊; 54〜針孔光學系統; 57~桌子; 5 8溶液; 62〜繞射光柵; 64〜檢測部份; 68〜快門; 70〜資料處理部份; 201007116 206〜介面部份; 204〜顯示部份; 200〜CPU ; 208〜輸入部份; 216~軟碟機; 216a〜軟碟; 214〜光碟驅動裝置; 214 a〜光碟; 210〜硬碟部份; 212〜記憶體部份; 731 ~波數轉換部份; 71、732~緩衝器部份; 733~傅立葉轉換部份; 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; 74卜最佳化演算部份; AX1、AX2、AX3、AX4〜光軸; OBJ〜待測物。 55The method ' can be selectively performed. In this way, even if the number of the objects to be tested is large or the film thickness of each layer is large, the film thickness of each layer can be measured more accurately. In addition, according to the embodiment of the present invention, in the object to be measured which is the object to be measured, the film thickness of each layer constituting the object to be tested can be appropriately grasped by the wavelength range of the measurement light (or the wavelength detection range). And the wavelength resolution of the detection portion, 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 50 201007116. BRIEF DESCRIPTION OF THE DRAWINGS Fig. 1 is a schematic diagram showing the structure according to the present invention. The outline of the film thickness measuring device of Fig. 2 is a cross-sectional view of the object to be tested which is the object of the present invention. Film thickness % 疋 device measurement 3 (a) to 3 (c) sin thickness measurement device A 固竹 shows a schematic diagram of the measurement results after the SGI substrate is not measured by the membrane device of the embodiment of the present invention. The thickness is shown in Fig. 4 to Fig. 4(b) to show another measurement result after the coffee substrate is measured by the film crucible device of the embodiment of the present invention. Figs. 5(a) to 5(b) are views showing another measurement result after measurement of a substrate by using the film thickness measuring device of the embodiment of the present invention. 6(a) to 6(c) are schematic views for explaining the film thickness measurement range and the detection wavelength range of the detection portion according to the embodiment of the present invention, and the relationship between φ and the number of detection points. Figs. 7(a) to 7(b) are diagrams showing simulation results of measurement results using a film thickness measuring device having a wavelength resolution close to a theoretical value. Fig. 8(a) to 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 an accuracy higher than twice the theoretical value. Figure 9 is a schematic diagram showing the measurement results of the reflectance spectrum associated with the s〇 I substrate. 51 201007116 The figure shows a slightly hardware diagram of the data processing part according to an embodiment of the present invention. Fig. 11 is a block diagram showing the control structure for executing the film thickness calculation program relating to the program type 1 according to the embodiment of the present invention. The =2 diagram shows a flow chart of a method for programming a program according to an embodiment of the present invention. Figure 13 is a block diagram showing the control structure for executing the film thickness calculation program relating to the program pattern 2 according to an embodiment of the present invention. The m-cavity system shows a flow chart of a method for calculating a film thickness according to the program type 2 of the embodiment of the present invention. Fig. 15 is a block diagram showing the control structure for executing the film thickness calculation program relating to the program type 3 according to the embodiment of the present invention. The ^16 diagram shows a flow chart of a method for calculating the film thickness associated with the program type 3 according to the embodiment of the present invention. Fig. 17 is a block diagram showing the control structure for executing the film thickness calculation program relating to the program type 4 according to the embodiment of the present invention. The gland factory = 18 diagram shows a flow chart of the method for calculating the thickness of the program type 4 in accordance with an embodiment of the present invention. Fig. 19 is a block diagram showing the control structure for executing the film thickness calculation program relating to the program type 5 according to the embodiment of the present invention. Fig. 20 is a flow chart showing the method of calculating the film thickness associated with the program type 5 according to the embodiment of the present invention. Fig. 21 is a block diagram showing the control structure for executing the film thickness calculation program relating to the program type 6 according to the embodiment of the present invention. 52 201007116 • Fig. 22 is a flow chart showing a method of implementing a film thickness calculation program in accordance with the present invention. The pattern of Fig. 23(a) to Fig. 23(c) shows the measurement results of the thickness of the SOI substrate measured by the film thickness measuring device. Fig. 24 is a view showing the measurement of the object to be tested on which the opaque pad is placed by using the film thickness measuring device of the embodiment of the present invention. Fig. 25 is a view showing the measurement results of the s?I substrate on which the opaque pad is placed by the film thickness measuring apparatus according to the embodiment of the present invention. The 26th lap shows a measurement result of the s?I substrate on which the opaque pad is placed by the film thickness measuring apparatus of the embodiment of the present invention. Figure 27 shows the power frequency obtained by transmitting the reflectance spectrum in the state where the soldering iron shown in Fig. 25 and Fig. 26 is not arranged. Fig. 28 shows the 25th and 26th views. The power spectrum obtained by transmitting the reflectance spectrum in the state of n(4). Figure 29 is a diagram showing the structure of the optical system of Jyatt. 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 apparatus of another embodiment of the present invention. [Description of main component symbols] 1 0 0~ film thickness measuring device; 10 ~ measuring light source; 12~ focusing lens; 14, 66~ filter; 53 201007116 16, 36~ imaging lens; 18~ aperture; 20, 30 ~ Beam splitter; 22 ~ observation light source; 24, 56, 56a, 56b ~ fiber; 26 ~ shot part; 26a ~ mask part; 32 ~ pinhole mirror; 3 2 a ~ pinhole; 34~ axis Conversion mirror; 38~ observation camera; 39~ display part; 40~ objective lens; 5 0 ~ stage; 51~ movable mechanism; 60~ spectrometry part; 52~ pad; 54~ pinhole optics System; 57~ table; 5 8 solution; 62~ diffraction grating; 64~ detection part; 68~shutter; 70~ data processing part; 201007116 206~ interface part; 204~ display part; 200~CPU; 208~ input part; 216~floppy disk drive; 216a~floppy disk; 214~disc drive device; 214 a~disc; 210~hard disk part; 212~memory part; 731~wavenumber conversion part; 71, 732~ buffer part; 733~ Fourier transform part; 734~ peak search part; 721, 721A, 735, 742~ Modeling part; 722, 722A, 736, 749, 751 ~ fitting part; 74 optimization optimization part; AX1, AX2, AX3, AX4~ optical axis; OBJ~ object to be tested. 55

Claims (1)

201007116 七、申請專利範圍: 1. 一種膜厚測定裝置,包括: 光源,將具有既定波長範圍之測定光,照射於在基板 上形成至少一層以上之待測物; 分光測定部份,根據該待測物所反射之光或穿透該待 測物之光,用以取得反射率或穿透率之波長分佈特性,該 分光測定部份可用波長解析度Μ檢測包含於該既定波長 範圍之下限波長Ληίη與上限波長間的波長分佈特 性,及 ’參 決定單元,根據該波數分佈特性所包括之振幅值的大 波數成分’用以決定構成該待測物之各層膜厚, 其特徵在於,該分光測定部份之該波長解析度△又與 表示該膜厚測定裝置可能測定之膜厚最大值、及上限 波長hiax之對象層折射率wmax,滿足下列之關係式: ^ ^max A(^max + 2 · nmaK · Jmax ) ❹ 2. 如申請專利範圍第i項所述之膜厚測定裝置,其 中’該分光測定部份之該下限波長/imin,與該膜厚測定裝 置可能測定之膜厚最小值dmjn,滿足下列之關係式: ^min — ^min * ^max /^(^max * Wmin ~ ^min * ^max ) 其中’ %iin為下限波長&gt;^nin之對象層折射率。 3. 如申請專利範圍第丨項或第2項所述之膜厚測定裳 置’其中’使用係數α (0&lt; 〇: $ 1),使該波長解析度△又滿 56 201007116 , 如下列關係式: Αλ &lt; a X lmax2 /l(Amax +2-nmaK ^dmax) O 4.如申請專利範圍第3項之所述之膜厚測定裝置,其 中,係數α未滿1/2。201007116 VII. Patent application scope: 1. A film thickness measuring device, comprising: a light source, the measuring light having a predetermined wavelength range is irradiated to form at least one layer of the object to be tested on the substrate; The light reflected by the object or the light penetrating the object to be tested is used to obtain the wavelength distribution characteristic of the reflectance or the transmittance. The spectrometry portion can detect the lower limit wavelength included in the predetermined wavelength range by using the wavelength resolution Μ The wavelength distribution characteristic between Ληίη and the upper limit wavelength, and the "determination unit, the large wave number component of the amplitude value included in the wave number distribution characteristic" is used to determine the film thickness of each layer constituting the object to be tested, and is characterized in that The wavelength resolution Δ of the spectrometry portion and the maximum thickness of the film which can be measured by the film thickness measuring device and the target layer refractive index wmax of the upper limit wavelength hiax satisfy the following relationship: ^ ^max A(^max + 2 · nmaK · Jmax ) ❹ 2. The film thickness measuring device according to the invention, wherein the lower limit wavelength /imin of the spectrometry portion The film thickness minimum value dmjn which may be measured by the film thickness measuring device satisfies the following relationship: ^min - ^min * ^max /^(^max * Wmin ~ ^min * ^max ) where '%iin is the lower limit wavelength> ; ^nin target layer refractive index. 3. If the film thickness measurement described in item 或 or item 2 of the patent application is set to 'where' the use factor α (0&lt; 〇: $ 1), the wavelength resolution △ is again 56 201007116, as in the following relationship The film thickness measuring device according to the third aspect of the invention is characterized in that the coefficient α is less than 1/2. 5757
TW098115659A 2008-06-20 2009-05-12 Film thickness measuring apparatus TW201007116A (en)

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