TWI429877B - Photoelastic measuring method and apparatus - Google Patents
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Description
本發明係有關於光彈性測定方法及其裝置,該方法用以測量作用於如液晶面板或電漿顯示面板等之具有透過性的測定對象物之應力或應變等,尤其係有關於一種技術,其係可高精度地測量作用於隔著微小間隙而配置的至少2片貼合基板之個基板之主應力的差與其方向及該主應力之差係壓縮或拉伸之技術。The present invention relates to a photoelasticity measuring method and an apparatus for measuring stress or strain acting on a permeable measuring object such as a liquid crystal panel or a plasma display panel, and more particularly to a technique. This is a technique for measuring the difference between the principal stress of the substrate acting on at least two bonded substrates disposed along the minute gap, and the difference between the direction and the principal stress, which is compressed or stretched with high precision.
有關求取作用於如玻璃基板之具有透過性的測定對象物之應力的方法,已知有如下之方法。第1方法,為將光照射於平面被保持在平坦的工作台之測定對象物,並量測從測定對象物的表面及背面所反射回來之反射光,再從該反射光的變化求作用於測定對象物之主應力的差和其方向。又,第2方法,為從向測定對象物所照射的光中之透過測定對象物的透過光之變化求作用於測定對象物之主應力的差和其方向(參照非專利文獻:最新應力、應變測定、評估技術(第49頁~第66頁)監修:河田幸三發行:股份有限公司綜合技術中心。The following method is known for the method of obtaining the stress acting on the measurement object of the glass substrate. In the first method, the object to be measured is irradiated with light on a flat surface, and the reflected light reflected from the surface and the back surface of the object to be measured is measured, and the change in the reflected light is applied to The difference in principal stress of the object and its direction are measured. In addition, the second method is to determine the difference between the principal stress acting on the object to be measured and the direction of the change in the transmitted light transmitted through the object to be measured from the light to be measured (see Non-Patent Document: Latest Stress, Strain measurement and evaluation technology (pages 49 to 66) Supervisor: Kawada Kosan Release: Co., Ltd. Integrated Technology Center.
又,提議共焦點方式且反射方式之光學系統(非專利文獻:2003年度博士論文 反射式雷射光彈性實驗裝置的開發和對皮膜之應力評估的應用 東京電機大學大學院研究科、機械系統工程專攻博士課程 島 靖郁)。In addition, an optical system with a confocal mode and a reflection mode is proposed (Non-patent literature: Development of a reflective laser photoelastic experimental device for the doctoral dissertation in 2003 and application of stress evaluation to the film) Department of Research, Department of Mechanical Systems Engineering, Tokyo Denki University Doctoral course Island Jingyu).
可是,在以往之各方法有如下的問題。However, the conventional methods have the following problems.
在第1方法,對一片具有透過性的屬測定對象物之基板可有效地發揮功能。可是,對於由光學特性,尤其是折射率相異之複數種材料所疊層的基板,尤其是在針對隔著微小間隙而配置的2片貼合的基板,測量主應力之差和其方向等的情況,具有無法高精度地求得作用於2片基板之任一片或雙方的基板之主應力之差和其方向的問題。In the first method, it is possible to effectively function on a substrate having a permeability to be measured. However, for a substrate in which a plurality of materials having optical characteristics, in particular, different refractive indices, are laminated, in particular, for a two-piece bonded substrate disposed with a small gap therebetween, the difference in principal stress and the direction thereof are measured. In the case of the case, it is impossible to accurately determine the difference in the principal stress acting on either or both of the two substrates and the direction thereof.
即,針對該貼合基板,在為了測量作用於2片基板之任一片或雙方的基板之主應力之差和其方向而應用第1方法的情況,從貼合基板所反射回來的反射光,為從各基板之表面及背面回來者全部被合成。因而,即使為得知主應力之差和其方向而僅想取得所需之來自各個基板的背面之反射光,亦無法簡單地各自分離。又,在應用第2方法的情況,透過貼合基板的透過光係全部被合成。因此,無法將透過各基板的透過光各自分離。In other words, in the case where the first method is applied to measure the difference between the principal stress of the substrate acting on either or both of the two substrates, and the reflected light reflected from the bonded substrate, All of them are synthesized from the surface and the back surface of each substrate. Therefore, even if it is necessary to obtain the required reflected light from the back surface of each substrate in order to obtain the difference in the principal stress and the direction thereof, it is not easy to separate them. Further, in the case where the second method is applied, all of the transmitted light transmitted through the bonded substrate is combined. Therefore, the transmitted light transmitted through each substrate cannot be separated.
又,在非專利文獻2所示之第2方法,作為在測量擔任主要之功能的元件,必須使用非偏光分光器。因此,因非偏光分光器的影響而使光彈性信號(雙折射)之淬熄比顯著地惡化,而有無法檢測微小之雙折射的問題點。Further, in the second method shown in Non-Patent Document 2, it is necessary to use a non-polarizing beam splitter as an element that functions as a main function in measurement. Therefore, the quenching ratio of the photoelastic signal (birefringence) is remarkably deteriorated by the influence of the non-polarizing spectroscope, and there is a problem that the micro birefringence cannot be detected.
本發明係鑑於上述之問題點而開發者,其主要目的在於提供光彈性測定方法及其裝置,該方法對於由在光學特性上折射率相異之複數個材料所疊層的基板,尤其是針對間 隔微小間隙所疊層的貼合基板,可正確地區別應力所作用的基板,而且從因作用於該基板的應力而產生之雙折射的變化量,可高精度且高速地求得該主應力之差與其方向,而且可高精度地特定該主應力之差係壓縮或拉伸。The present invention has been made in view of the above problems, and its main object is to provide a photoelasticity measuring method and apparatus thereof for a substrate laminated with a plurality of materials having different refractive indices in optical characteristics, in particular, between The bonded substrate laminated with the small gap can accurately distinguish the substrate on which the stress acts, and can obtain the principal stress with high precision and high speed from the amount of change in birefringence due to the stress acting on the substrate. The difference is the direction and the difference between the principal stresses can be specified with high precision to compress or stretch.
本發明為了達成這種目的,而採用如下所示之構造。In order to achieve this object, the present invention employs the configuration shown below.
一種光彈性測定方法,其包含有以下的步驟:變換步驟,係從照射手段將既定頻帶的照射光變換成直線偏光;第1調變步驟,係對該直線偏光施加調變;轉動步驟,係使已調變之該直線偏光透過具有旋光性的光學構件,並轉動既定之角度;對焦步驟,係經由透鏡對由具有透過性之複數層所構成的測定對象物照射該偏光,並使透鏡和測定對象物沿著光軸方向相對地前後移動,而將焦點對準於層彼此接觸的複數個接觸界面中之既定的接觸界面;第2調變步驟,係對從該測定對象物所反射回來的反射光施加調變;分離步驟,係將該反射光中和反射前相同的狀態之第1偏光、和與該第1偏光正交之包含有彈性信號成分的第2偏光經由光學手段分離至不同的光路並輸出;轉換步驟,係僅使所分離的該第2偏光中從焦點面所反射回來的偏光通過針孔,並利用分光手段進行光譜轉換;檢測步驟,係以檢測手段檢測該光譜; 除去步驟,係除去從該檢測手段輸出之光譜信號所含的直流成分而變成交流成分;以及計算步驟,係進行從變成交流成分的該光譜信號求各頻率之雙折射的變化量,再從該雙折射的變化量之對頻率的分布之振幅和相位角,進行特定作用於測定對象物之各層的主應力之差與其方向及該主應力之差係壓縮或拉伸的計算之至少任一個。A photoelastic measurement method comprising the steps of: converting a light of a predetermined frequency band into linearly polarized light from an irradiation means; and applying a modulation to the linearly polarized light in a first modulation step; The linearly polarized light that has been modulated is transmitted through the optical member having optical rotation and rotated by a predetermined angle. In the focusing step, the polarized light is irradiated to the object to be measured composed of a plurality of layers having transparency, and the lens and the lens are irradiated. The measurement object moves back and forth relatively in the optical axis direction, and focuses on a predetermined contact interface among a plurality of contact interfaces in which the layers contact each other; and the second modulation step is reflected from the measurement object. The reflected light is modulated, and the separating step is performed by separating the first polarized light in the same state as before the reflected light and the second polarized light including the elastic signal component orthogonal to the first polarized light to the second polarized light. Different light paths are outputted; the conversion step is to pass only the polarized light reflected from the focal plane in the separated second polarized light through the pinhole, and use the spectroscopic means to Spectrum converter; detecting step, detecting means for detecting the lines in the spectrum; a removal step of removing a DC component contained in a spectral signal outputted from the detection means to become an AC component; and a calculating step of determining a change amount of birefringence of each frequency from the spectral signal that becomes an AC component, and The amplitude and phase angle of the distribution of the change in the birefringence with respect to the frequency are at least one of the difference between the principal stress of each layer of the object to be measured and the difference between the direction and the principal stress, which is compression or stretching.
若依據本發明之光彈性測定方法,既定頻帶的直線偏光係在被施加調變後而透過具旋光性之光學構件的步驟,在被轉動既定之角度的狀態向測定對象物之既定的接觸界面(焦點面)照射。此直線偏光係在和從接觸界面及其他的界面等所反射的反射光合在一起並朝向分離手段的步驟,又被施加調變。According to the photoelastic measurement method of the present invention, the linear polarization of the predetermined frequency band is transmitted to the predetermined contact interface of the object to be measured in a state of being rotated by a predetermined angle after being subjected to modulation and transmission through the optical member having optical rotation. (Focus) illumination. This linear polarization is applied to the step of separating the reflected light reflected from the contact interface and other interfaces and toward the separation means, and is also modulated.
然後,反射光依分離手段而分離成回到起始之光路的第1偏光、及向和第1偏光不同的光路輸出之與第1偏光正交的第2偏光。接著,從分離手段所輸出之包含有彈性信號的第2偏光,在通過針孔時,僅抽出從既定之接觸界面的焦點面所反射回來之偏光。換言之,僅抽出只透過既定層而回來的偏光。Then, the reflected light is separated into a first polarized light that returns to the initial optical path and a second polarized light that is orthogonal to the first polarized light that is output to the optical path different from the first polarized light by the separating means. Next, when the second polarized light including the elastic signal outputted from the separating means passes through the pinhole, only the polarized light reflected from the focal plane of the predetermined contact interface is extracted. In other words, only the polarized light that is transmitted only through the predetermined layer is extracted.
該第2偏光依分光手段而進行光譜轉換,再利用檢測手段檢測該光譜。從該檢測手段所輸出之信號除去直流成分而變成只有交流成分。進行特定如下計算的至少任一個,即,由此交流成分的光譜信號求各頻率之雙折射的變化 量、由該複數個雙折射的變化量之對頻率的分布之振幅和相位角,特定作用於測定對象物之各層的主應力之差與其方向及該主應力之差係壓縮或拉伸。The second polarized light is spectrally converted by means of a spectroscopic means, and the spectrum is detected by a detecting means. The DC component is removed from the signal output from the detection means to become an AC component only. Performing at least one of the following calculations, that is, the spectral signal of the alternating component is used to determine the birefringence change of each frequency The amount, the amplitude and the phase angle of the distribution of the frequency by the change amount of the plurality of birefringences, and the difference between the principal stresses of the respective layers of the object to be measured and the difference between the direction and the principal stress are compressed or stretched.
即,在對測定對象物照射既定頻帶的直線偏光之前,以光學手段使轉動既定之角度,而且對包含有彈性信號成分之第2偏光進行光譜轉換,藉此可一面從起始的直線偏光連續地轉動至既定轉角,一面以一次的測量檢測包含有彈性信號的第2偏光。因此,可高速地進行測定處理。In other words, before the linearly polarized light of a predetermined frequency band is irradiated to the object to be measured, the predetermined angle is rotated by optical means, and the second polarized light including the elastic signal component is spectrally converted, thereby being continuous from the initial linearly polarized light. The ground is rotated to a predetermined corner, and the second polarized light including the elastic signal is detected by one measurement. Therefore, the measurement process can be performed at high speed.
又,因為對反射光施加調變,而且從光譜變化後之信號僅抽出已除去直流成分的交流成分,所以可高精度地求得雙折射的變化量對頻率的分布。因此,從該分布的振幅可高精度地求得主應力之差,從該分布的相位角可高精度地求得其方向,而且可高精度地特定主應力之差係壓縮或拉伸。Further, since the reflected light is modulated, and the AC component from which the DC component has been removed is extracted from the signal after the spectral change, the distribution of the amount of change in birefringence with respect to the frequency can be accurately obtained. Therefore, the difference in principal stress can be accurately obtained from the amplitude of the distribution, the direction can be accurately obtained from the phase angle of the distribution, and the difference in the principal stress can be accurately compressed or stretched with high precision.
此外,轉動步驟宜設定成,既定頻帶之直線偏光的上限頻率成分藉光學手段轉動的角度與下限頻率成分藉光學手段轉動之角度的差變成90°以上。Further, the turning step is preferably set such that the difference between the angle at which the upper limit frequency component of the linearly polarized light of the predetermined frequency band is rotated by the optical means and the angle at which the lower limit frequency component is rotated by the optical means becomes 90 or more.
若依據本方法發明,因為將依直線偏光的上限頻率和下限頻率而產生之偏光的轉角之差設定成90°以上,所以所求得的相位亦位於90°以上之範圍。因此,可易於以交流波形將所求得之相位的sin曲線近以。又,因為例如在從0°至90度的區域可判別該分布之凹凸,所以易於根據凹凸狀態而特定作用於測定對象物之既定層的主應力之差係壓 縮或拉伸。According to the method of the present invention, since the difference between the corners of the polarized light generated by the upper limit frequency and the lower limit frequency of the linearly polarized light is set to 90 or more, the obtained phase is also in the range of 90 or more. Therefore, it is easy to approximate the sin curve of the obtained phase with an alternating current waveform. In addition, since the unevenness of the distribution can be determined, for example, in the region from 0° to 90°, it is easy to specify the difference in the principal stress of the predetermined layer acting on the measurement target depending on the unevenness state. Shrink or stretch.
又,在該方法發明,宜再具備以下的步驟。Further, in the method of the invention, it is preferable to have the following steps.
即,具備有反射光檢測步驟,其僅使在該分離步驟被分離並返回起始之光路的第1偏光中從該焦點面反射回來的偏光通過針孔並進行檢測;該計算步驟又求得對預先所求得之來自該照射手段之反射光的光強度之在該偏光檢測步驟所檢測的偏光及在該反射光檢測步驟所檢測之偏光的兩光強度之變化量,再因應於該變化量,修正從藉實測求得之第2偏光所檢測之偏光的光強度。That is, a reflected light detecting step is provided in which only the polarized light reflected from the focal plane in the first polarized light that is separated and returned to the initial optical path passes through the pinhole and is detected; The amount of change in the intensity of the light detected by the polarized light detecting step and the intensity of the light detected by the reflected light in the reflected light detecting step, which is obtained in advance, is again adapted to the change The amount is corrected for the light intensity of the polarized light detected from the second polarized light obtained by the actual measurement.
若依據本方法發明,在光學手段所分離的第1偏光中僅抽出由焦點面所反射回來的偏光。因此,得知從第1偏光和第2偏光所抽出之兩偏光的光強度之變化量。因此,可求得修正包含有彈性信號成分之第2偏光B所衰減的變化量之修正量,並進行修正處理。又,若將測定對象物之照射側定義為第1層的第1面,並按照此順序賦予編號時,因為來自第1層的第1面之反射光的光強度之變化量未含雙折射的變化量,所以利用從第1層的第1面所反射之反射光的光強度,能以光量修正藉實測求得之第2偏光,而提高測量精度。According to the method of the present invention, only the polarized light reflected by the focal plane is extracted from the first polarized light separated by the optical means. Therefore, the amount of change in the light intensity of the two polarized lights extracted from the first polarized light and the second polarized light is known. Therefore, the correction amount for correcting the amount of change attenuated by the second polarized light B including the elastic signal component can be obtained and corrected. In addition, when the irradiation side of the measurement target is defined as the first surface of the first layer and the number is given in this order, the amount of change in the light intensity of the reflected light from the first surface of the first layer does not include birefringence. Since the amount of change is small, the light intensity of the reflected light reflected from the first surface of the first layer can be used to correct the second polarized light obtained by the actual measurement by the amount of light, thereby improving the measurement accuracy.
又,該方法發明宜再具備以下的步驟。Moreover, the method invention preferably has the following steps.
即,具備有:轉換步驟,係在分離步驟被分離並返回起始光路的第1 偏光中,僅使從該焦點面反射回來的偏光通過針孔並以分光手段進行光譜轉換;及反射光檢測步驟,係檢測該光譜;該計算步驟又對在該檢測步驟所檢測之第2偏光的光譜之各頻率除以在該反射光檢測步驟所檢測的光譜,並對各頻率修正雙折射之變化量。That is, the conversion step is performed, and the first step is separated in the separation step and returned to the first optical path. In the polarized light, only the polarized light reflected from the focal plane passes through the pinhole and is spectrally converted by the spectroscopic means; and the reflected light detecting step detects the spectrum; the calculating step further detects the second polarized light detected in the detecting step Each frequency of the spectrum is divided by the spectrum detected in the reflected light detecting step, and the amount of change in birefringence is corrected for each frequency.
若依據本方法發明,在光學手段所分離的第1偏光中僅抽出由焦點面所反射回來的偏光。藉由將此第1偏光進行光譜轉換,而得知將第2偏光進行光譜轉換時之光譜信號的衰減量。因此,可求得修正此衰減量之修正量,並進行修正處理。According to the method of the present invention, only the polarized light reflected by the focal plane is extracted from the first polarized light separated by the optical means. By spectrally converting the first polarized light, the amount of attenuation of the spectral signal when the second polarized light is spectrally converted is known. Therefore, the correction amount for correcting the attenuation amount can be obtained and corrected.
又,該方法發明較佳為,係求對測定對象物的最外側層施加推壓之推壓狀態和非推壓狀態時之各主應力的差,再根據兩值的偏差,特定作用於測定對象物之主應力的差係壓縮或拉伸較佳。Further, in the method of the present invention, it is preferable to apply a difference between each of the principal stresses in the pressing state and the non-pressing state of the outermost layer of the object to be measured, and to specifically determine the difference based on the deviation of the two values. The difference in the principal stress of the object is preferably compressed or stretched.
若依據本方法發明,可易於特定作用於屬測定對象物之既定層的應力係壓縮或拉伸。例如,在應力作用於玻璃基板等之板狀物的情況,一般會發生翹曲。在此狀態,壓縮應力作用於凹入彎曲的內側,而拉伸應力作用於彎曲的外側。又,在將複數層疊層的情況,會發生一樣的現象。即,壓縮應力作用於位於凹入彎曲側的層,而拉伸應力作用於外側的層。According to the invention of the present invention, it is easy to specifically act on the stress system compression or stretching of a predetermined layer belonging to the object to be measured. For example, when stress acts on a plate material such as a glass substrate, warpage generally occurs. In this state, the compressive stress acts on the inner side of the concave bend, and the tensile stress acts on the outer side of the bend. Further, in the case where a plurality of layers are laminated, the same phenomenon occurs. That is, the compressive stress acts on the layer on the concave curved side, and the tensile stress acts on the outer layer.
在此,關於在非推壓狀態所求得之既定層的主應力之差 的方向,具有π/2度的不定性。因此,在推壓狀態測量最外側的層時,若該層的應力差變大,得知該層位於拉伸狀態。反之,若應力差變小,得知係壓縮狀態。Here, the difference between the principal stresses of a given layer obtained in the non-pressed state The direction has an uncertainty of π/2 degrees. Therefore, when the outermost layer is measured in the pressed state, if the stress difference of the layer becomes large, it is known that the layer is in a stretched state. On the other hand, if the stress difference becomes small, it is known that the stress is in a compressed state.
此外,在該各方法發明,光學手段係以水晶為宜。Further, in each of the method inventions, the optical means is preferably crystal.
水晶具有旋光性。若使直線偏光透過此水晶並在去路轉動偏光角θ,在回路就轉動-θ。因此,在往返中偏光角不變。又,因為基於旋光之轉角和光的頻率相依,所以若使用寬頻帶光,可在不使裝置轉動之下,在寬範圍之角度進行雙折射的測量。因此,在本發明,由測定對象物所反射回來的反射光,可在依然包含有彈性信號之狀態下,不必加工就導向下游側。因此,可高精度地求得主應力之差與其方向以及該主應力之差係壓縮或拉伸。The crystal is optically active. If a linearly polarized light is transmitted through the crystal and the polarization angle θ is rotated in the outward path, -θ is rotated in the loop. Therefore, the polarization angle does not change during the round trip. Further, since the rotation angle based on the rotation is dependent on the frequency of the light, if broadband light is used, the measurement of birefringence can be performed at a wide range without rotating the device. Therefore, in the present invention, the reflected light reflected by the object to be measured can be guided to the downstream side without being processed, while still containing the elastic signal. Therefore, the difference between the principal stress and the direction thereof and the difference between the principal stresses can be accurately obtained to be compressed or stretched with high precision.
又,本發明為了達成這種目的,而採用如下所示之構造。Further, in order to achieve the object, the present invention adopts the configuration shown below.
一種光彈性測定裝置,其包含有以下的要素:保持手段,係保持由具有透光性之複數層所構成的測定對象物;照射手段,係向該測定對象物照射既定頻帶的光;第1光學手段,係使該光透過;第1調變手段,係對該偏光施加調變;第2光學手段,係具有旋光性,其在使已調變之該偏光透過的步驟令至既定之角度;透鏡,係使該偏光透過並將焦點對準該測定對象物之既定層的界面; 移動手段,係使該透鏡和保持手段沿著偏光的光軸方向相對地前後移動;第2調變手段,係對從該測定對象物的焦點面所反射回來的反射光施加調變;分離手段,係將該反射光中在起始之光路回來的第1偏光、和與該第1偏光正交之第2偏光分離至不同的光路並輸出;形成針孔的構件,其在所分離的該第2偏光中僅使從該焦點面所反射回來的偏光通過;分光手段,係對通過該針孔之第2偏光進行光譜轉換;第1檢測手段,係檢測該光譜;除去手段,係除去由該第1檢測手段輸出之光譜信號所含的直流成分而變成交流成分;以及計算手段,係進行從變成交流成分的該光譜信號求各頻率之雙折射的變化量,再從該雙折射的變化量之對頻率的分布之振幅和相位角特定作用於測定對象物之各層的主應力之差與其方向及該主應力之差係壓縮或拉伸的計算之至少任一個。A photoelasticity measuring apparatus includes: a holding means for holding a measurement target composed of a plurality of layers having light transmissivity; and an irradiation means for irradiating the measurement target with light of a predetermined frequency band; The optical means transmits the light; the first modulation means applies a modulation to the polarized light; and the second optical means has an optical rotation, and the step of transmitting the modulated polarized light to a predetermined angle is performed. a lens that transmits the polarized light and focuses on an interface of a predetermined layer of the object to be measured; The moving means moves the lens and the holding means relatively back and forth along the optical axis direction of the polarized light; and the second modulation means applies a modulation to the reflected light reflected from the focal plane of the measuring object; And separating the first polarized light that has returned from the initial optical path and the second polarized light that is orthogonal to the first polarized light to a different optical path and outputs the same; the member that forms the pinhole, which is separated In the second polarized light, only the polarized light reflected from the focal plane passes; the spectroscopic means performs spectral conversion on the second polarized light passing through the pinhole; the first detecting means detects the spectrum; and the removing means removes The DC component included in the spectral signal outputted by the first detecting means becomes an alternating current component, and the calculating means performs a change amount of birefringence of each frequency from the spectral signal which becomes an alternating current component, and changes from the birefringence The amplitude and the phase angle of the distribution of the frequency versus the frequency are specific to at least one of the difference between the principal stress of each layer of the object to be measured and the difference between the direction and the principal stress, which is the compression or the stretching.
若依據本構造,從照射手段向保持手段所保持之測定對象物照射之既定頻帶的光,在通過第1光學手段後,利用第1調變手段施加調變,再利用第2光學手段繞光軸轉動至既定的角度。藉由一面照射此偏光一面利用移動機構使維持手段和測定對象物沿著光軸方向前後地移動,而將焦 點對準既定之界面。在由該焦點面及其他的界面等所反射回來的反射光,利用第2調變手段施加調變並透過分離手段的步驟,在透過測定對象物之各層時雙折射所引起的變化量未作用的偏光作為第1偏光,回到起始光路。雙折射所引起的變化量作用而產生之反射光作為第2偏光,並向和第1偏光不同的光路輸出。According to this configuration, the light of a predetermined frequency band irradiated from the irradiation means to the object to be measured held by the holding means is modulated by the first modulation means after passing through the first optical means, and the second optical means is used to circumvent the light. The shaft is rotated to a predetermined angle. By moving the polarizing light while moving the holding means and the object to be measured back and forth along the optical axis direction by the moving means, the coke is moved. Point to the established interface. The amount of change caused by birefringence when the reflected light reflected by the focal plane and other interfaces is reflected by the second modulation means and transmitted through the separation means is transmitted through each layer of the measurement object. The polarized light acts as the first polarized light and returns to the starting optical path. The reflected light generated by the amount of change due to birefringence is used as the second polarized light, and is output to an optical path different from the first polarized light.
在從分離手段所輸出之第2偏光通過針孔時,僅抽出對準焦點之從既定的界面所反射回來之偏光,並利用分光手段進行光譜變化。利用檢測手段檢測此光譜,並向計算手段傳送光譜信號。即,受到藉第2光學手段而直線偏光所轉動之轉角的影響,而可取得和使直線偏光連續地繞光軸僅轉動既定的角度時相同之份量的檢測資料。When the second polarized light outputted from the separating means passes through the pinhole, only the polarized light reflected from the predetermined interface by the alignment focus is extracted, and the spectral change is performed by the spectroscopic means. The spectrum is detected by means of detection and the spectral signal is transmitted to the calculation means. In other words, it is possible to obtain the detection data of the same amount as when the linearly polarized light is continuously rotated by a predetermined angle around the optical axis by the influence of the rotation angle of the linear polarization by the second optical means.
計算手段,除去光譜信號所含之直流成分,而僅抽出交流成分,從該光譜信號雙折射的變化量之對頻率的分布,而且求該分布之振幅和其相位角,並求作用於測定對象物之各層的主應力之差與其方向及該主應力之差係壓縮或拉伸。即,可適合地實現該方法說明。The calculation means removes the DC component contained in the spectral signal, extracts only the AC component, and extracts the amplitude of the birefringence from the spectral signal to the frequency distribution, and obtains the amplitude of the distribution and the phase angle thereof, and acts on the measurement target. The difference between the principal stresses of the layers of the object and the difference between the direction and the principal stress are compressed or stretched. That is, the method description can be suitably implemented.
此外,若依據本裝置發明,第2光學手段係使係使將既定頻帶之直線偏光的上限頻率成分以光學手段轉動的角度和將下限頻率成分以光學手段轉動之角度的差變成90°以上較佳。Further, according to the invention of the present invention, the second optical means is such that the difference between the angle at which the upper limit frequency component of the linearly polarized light of the predetermined frequency band is rotated by the optical means and the angle at which the lower limit frequency component is rotated by the optical means becomes 90 or more. good.
若依據本構造,因為將因直線偏光之上限頻率和下限頻率而產生之轉角的差設定成90°以上,所以所求得的相位 亦位於90°以上之範圍。即,可適合地實現該方法說明。According to this configuration, since the difference in the angle of rotation due to the upper limit frequency and the lower limit frequency of the linearly polarized light is set to 90° or more, the obtained phase is obtained. Also located in the range of 90° or more. That is, the method description can be suitably implemented.
又,若依據本裝置發明,具備有:形成針孔的構件,其在該分離步驟所分離並在起始之光路回來的第1偏光中,僅使從該焦點面所反射回來的偏光通過;及第2檢測手段,係檢測通過該針孔之第1偏光;該計算步驟又求得對預先所求得之來自該照射手段之反射光的光強度之在該偏光檢測步驟所檢測的偏光及在該反射光檢測步驟所檢測之偏光的兩光強度之變化量,再因應於該變化量修正從藉實測求得之第2偏光所檢測之偏光的光強度較佳。Further, according to the invention of the present invention, there is provided a member for forming a pinhole, wherein only the polarized light reflected from the focal plane passes through the first polarized light separated in the separating step and returned from the initial optical path; And the second detecting means detects the first polarized light passing through the pinhole; and the calculating step further determines the polarized light detected in the polarized light detecting step for the light intensity of the reflected light from the irradiation means obtained in advance The amount of change in the two light intensities of the polarized light detected by the reflected light detecting step is preferably corrected based on the amount of change in the light intensity of the polarized light detected from the second polarized light obtained by the actual measurement.
若依據本構造,在光學手段所分離的第1偏光中僅抽出由焦點面所反射回來的偏光。因此,得知從第1偏光和第2偏光所抽出之兩偏光的光強度之變化量。因此,可求得修正包含有彈性信號成分之第2偏光B所衰減的變化量之修正量,並進行修正處理。又,若將測定對象物之照射側定義為第1層的第1面,並按照此順序賦予編號時,因為來自第1層的第1面之反射光的光強度之變化量未含雙折射的變化量,所以利用從第1層的第1面所反射之反射光的光強度,能以光量修正藉實測求得之第2偏光,而提高測量精度。According to this configuration, only the polarized light reflected by the focal plane is extracted from the first polarized light separated by the optical means. Therefore, the amount of change in the light intensity of the two polarized lights extracted from the first polarized light and the second polarized light is known. Therefore, the correction amount for correcting the amount of change attenuated by the second polarized light B including the elastic signal component can be obtained and corrected. In addition, when the irradiation side of the measurement target is defined as the first surface of the first layer and the number is given in this order, the amount of change in the light intensity of the reflected light from the first surface of the first layer does not include birefringence. Since the amount of change is small, the light intensity of the reflected light reflected from the first surface of the first layer can be used to correct the second polarized light obtained by the actual measurement by the amount of light, thereby improving the measurement accuracy.
一樣地,具備有:形成針孔的構件,其在該分離步驟所分離並在起始之光 路回來的第1偏光中,僅使從該焦點面所反射回來的偏光通過;轉換手段,係對通過該針孔之第1偏光進行光譜轉換;以及第3檢測手段,係檢測該光譜;該計算步驟又對在該檢測步驟所檢測之第2偏光的光譜之各頻率除以在該反射光檢測步驟所檢測的光譜,並對頻率修正雙折射之變化量較佳。Similarly, there is a member that forms a pinhole that is separated in the separation step and is in the starting light In the first polarized light returning, only the polarized light reflected from the focal plane passes; the conversion means performs spectral conversion on the first polarized light passing through the pinhole; and the third detecting means detects the spectrum; The calculation step is further divided by the frequency of the spectrum of the second polarized light detected in the detecting step by the spectrum detected in the reflected light detecting step, and the amount of change in the frequency corrected birefringence is preferably.
若依據本構造,在光學手段所分離的第1偏光中僅抽出由焦點面所反射回來的偏光。藉由將此第1偏光進行光譜轉換,而得知將第2偏光進行光譜轉換時之光譜信號的衰減量。因此,可求得修正此衰減量之修正量,並進行修正處理。According to this configuration, only the polarized light reflected by the focal plane is extracted from the first polarized light separated by the optical means. By spectrally converting the first polarized light, the amount of attenuation of the spectral signal when the second polarized light is spectrally converted is known. Therefore, the correction amount for correcting the attenuation amount can be obtained and corrected.
該構造又藉由包含有以下的構件,而可特定作用於測定對象物之主應力的差係壓縮或拉伸。This structure can also specifically compress or stretch the difference in the principal stress of the object to be measured by including the following members.
即,該構造又具備有移動機構,係使推壓構件在推壓構件的前端接觸測定對象物之最外側層並推壓的作用位置和以非接觸狀態分開之等待位置移動;該計算手段求對測定對象物的最外側層施加推壓之推壓狀態和非推壓狀態時之各主應力的差,再根據兩值的偏差,特定作用於測定對象物之主應力的差係壓縮或拉伸較佳。In other words, the structure further includes a moving mechanism for moving the pressing member to the outermost layer of the measuring object and pressing the pressing position at the front end of the pressing member and the waiting position separated by the non-contact state; The difference between the principal stresses in the pressed state and the non-pressed state is applied to the outermost layer of the object to be measured, and the difference in the principal stress acting on the object to be measured is compressed or pulled according to the deviation of the two values. Stretching is better.
又,該構造最好具備有: 第1偏光分離手段,係將由該分離手段所分離的第1偏光分離成往針孔之偏光和往其他的方向之偏光;第4檢測手段,係將複數個感光元件配備成二維陣列形而構成,而該等感光元件係用以檢測被該第1偏光分離手段分離至其他的方向之偏光;驅動手段,係使該保持手段傾斜;以及驅動控制手段,係因應於該檢測手段所檢測之偏光的位置而利用該計算手段求得保持手段所保持之測定對象物的傾斜量,再根據此傾斜量使該驅動手段動作,使維持該保持手段的平行度。Moreover, the structure preferably has: The first polarization separating means separates the first polarized light separated by the separating means into polarized light toward the pinhole and polarized light in the other direction, and the fourth detecting means sets the plurality of photosensitive elements in a two-dimensional array. The light-receiving element is configured to detect polarization separated by the first polarization separation means in another direction; the driving means is to tilt the holding means; and the driving control means is detected by the detecting means The position of the polarized light is used to determine the amount of tilt of the object to be measured held by the holding means, and the driving means is operated in accordance with the amount of tilt to maintain the parallelism of the holding means.
若依據本構造,因為維持保持手段所保持之測定對象物的平行度,所以由測定對象物所反射回來之第1偏光和起始的直線偏光之光路重合。即,無光路偏差,而可使從焦點面所反射回來的第1及第2偏光確實地通過各針孔,而可高精度地檢測測定對象的偏光。According to this configuration, since the parallelism of the object to be measured held by the holding means is maintained, the first polarized light reflected by the object to be measured overlaps with the optical path of the initial linearly polarized light. In other words, the first and second polarized lights reflected from the focal plane are reliably passed through the respective pinholes without the optical path deviation, and the polarization of the measurement target can be detected with high precision.
以下,參照圖面說明本發明之實施例。Hereinafter, embodiments of the present invention will be described with reference to the drawings.
第1圖係表示利用本發明之光彈性測定方法的實施例裝置之示意構造圖。Fig. 1 is a schematic structural view showing an apparatus of an embodiment using the photoelasticity measuring method of the present invention.
本實施例裝置配備有:測定對象物W,係將如液晶面板或電漿顯示器之具有2片透過性的玻璃基板W1、W2以隔著微小間隔之方式重疊;及,光源1,係對平面被保持於中央形成開口H之放置台11上的測定對象物W照射光。 又,在從該光源1至測定對象物W的光路上具備有第1偏光檢測部2、法拉第轉動器3、1/2波長板4、反射鏡5、BDP(Beam Displacing Prism)6、光彈性調變器7、水晶8、和配備有物鏡9並可前後移動的可動台10,以及第2偏光檢測部13。以下,詳述各構造。In the apparatus of the present embodiment, the measurement object W is provided such that the two transparent glass substrates W1 and W2 such as a liquid crystal panel or a plasma display are overlapped with a small gap therebetween; and the light source 1 is a plane The object to be measured W held on the placing table 11 where the opening H is formed in the center is irradiated with light. In addition, the first polarization detecting unit 2, the Faraday rotator 3, the 1/2 wavelength plate 4, the mirror 5, the BDP (Beam Displacing Prism) 6, and the photoelasticity are provided on the optical path from the light source 1 to the measurement object W. The modulator 7, the crystal 8, and the movable table 10 equipped with the objective lens 9 and movable back and forth, and the second polarization detecting portion 13. Hereinafter, each structure will be described in detail.
光源1利用近紅外區域之SLD(Super Luminescent Diode)或半導體雷射或白色LED(Light Emitted Diode)等之具有既定頻帶的隨機偏光者。此外,光源1相當於本發明之照射手段。此外,關於上述之「光」的頻率,係具有和光速/波長相同的意義,在本實施例之計算,以相同的意義使用頻率和波長。The light source 1 utilizes a SLD (Super Luminescent Diode) in the near-infrared region or a random polarizer having a predetermined frequency band such as a semiconductor laser or a white LED (Light Emitted Diode). Further, the light source 1 corresponds to the irradiation means of the present invention. Further, the frequency of the above-mentioned "light" has the same meaning as the speed of light/wavelength, and in the calculation of the present embodiment, the frequency and the wavelength are used in the same meaning.
第1偏光分光器12將來自光源1的光分光成朝向直線前進方向和垂直方向。在此情況,預先將照射光調整成變成水平偏光成分。另一方面,所含極微量的垂直偏光成分來到測定系統之外。又,在本實施例,利用1/2波長板4和法拉第轉動器3將從測定對象物W所反射並回到與初期同一光路之反射光轉換成垂直偏光成分,並使朝向第1偏光檢測部2的光二極體25。因而,未含有水平成分。The first polarization beam splitter 12 splits the light from the light source 1 into a straight forward direction and a vertical direction. In this case, the irradiation light is adjusted to become a horizontal polarization component in advance. On the other hand, a very small amount of vertical polarization component is contained outside the measurement system. Further, in the present embodiment, the 1⁄2 wavelength plate 4 and the Faraday rotator 3 are used to convert the reflected light reflected from the measurement target W and return to the same optical path to the vertical polarization component, and to be directed toward the first polarization detection. The photodiode 25 of the portion 2. Therefore, no horizontal component is contained.
即,第1偏光分光器12將從測定對象物W所反射之垂直成分所成的偏光成份分支成朝向垂直方向,並使朝向第1偏光檢測部2的光二極體25。換言之,由測定對象物W之各玻璃基板W1、W2的各表面及各背面所反射並返回和初期之直線偏光相同的光路之反射光其正交的直線偏光 (以下權宜地稱為「第1偏光A」)係回到第1偏光分光器12。In other words, the first polarization beam splitter 12 branches the polarization component formed by the vertical component reflected by the measurement target W in the vertical direction and faces the photodiode 25 of the first polarization detecting unit 2 . In other words, the orthogonal light linearly polarized light is reflected from the respective surfaces of the glass substrates W1 and W2 of the measurement target W and the back surfaces thereof and returned to the same optical path as the initial linearly polarized light. (hereinafter referred to as "first polarized light A") is returned to the first polarizing beam splitter 12.
法拉第轉動器3在使來自光源側之水平偏光透過時使偏光面轉動45°。又,相對於以後述的1/2波長板使由測定對象物W反射並返回同一光路之垂直偏光成分轉動的偏光面,係在與去路相反之45°的方向轉動,結果變成垂直方向之偏光成分的直線偏光。The Faraday rotator 3 rotates the polarizing surface by 45° while transmitting the horizontal polarized light from the light source side. In addition, the polarizing surface which is reflected by the measurement target W and returns to the vertical polarization component of the same optical path is rotated in the direction opposite to the outward path by 45° with respect to the 1/2 wavelength plate described later, and the polarized light in the vertical direction is obtained. Linear polarization of the composition.
1/2波長板4在去路,係相對於以法拉第轉動器3偏光面轉動45°之直線偏光具有既定的傾斜角。在本實施例的情況,傾斜約45°並變成垂直偏光。此外,1/2波長板4相當於本發明之第1光學手段。又,在回路,使垂直成分的偏光轉動45°。The 1/2 wavelength plate 4 is in an outward path, and has a predetermined inclination angle with respect to a linearly polarized light that is rotated by 45° with respect to the polarization plane of the Faraday rotator 3. In the case of the present embodiment, it is inclined by about 45 and becomes vertical polarized light. Further, the 1⁄2 wavelength plate 4 corresponds to the first optical means of the present invention. Further, in the circuit, the polarization of the vertical component is rotated by 45°.
反射鏡5以使其鏡面朝向測定對象物W之傾斜姿勢配置。即,在測定對象物W所反射回來的直線偏光之中,使在透過測定對象物W之過程因應力的影響而偏光狀態變化之成分通過後述的BDP6時,使朝向和起始狀態之第1偏光A相異的方向輸出之另一方的第2偏光B反射,並朝向第2偏光檢測部24。The mirror 5 is disposed in an inclined posture in which the mirror surface faces the measurement object W. In other words, in the linearly polarized light reflected by the measurement target W, the component that changes the polarization state due to the influence of the stress in the process of transmitting the measurement target W passes through the BDP 6 described later, and the first orientation and the initial state are made. The other polarized light B of the other direction output of the polarized light A is reflected and directed toward the second polarization detecting unit 24.
BDP6係使到達之直線偏光全部透過並朝向下游側。又,在使從測定對象物W反射回來的偏光透過時,使具有和射入時相同之偏光面的直線偏光(係垂直成分的第1偏光A)回到同一光路,在透過測定對象物W之過程僅抽出受作用於測定對象物W之應力的影響而偏光狀態變化的成分(水 平成分的第2偏光B),並朝和第1偏光A相異之方向輸出。即,第2偏光B朝向配備於上游側的反射鏡5輸出。此外,BDP6相當於本發明之分離手段。The BDP 6 transmits all of the linearly polarized light that has arrived and faces the downstream side. In addition, when the polarized light reflected from the object to be measured W is transmitted, the linearly polarized light (the first polarized light A which is a vertical component) having the same polarizing surface as that at the time of the incident is returned to the same optical path, and the object to be measured is transmitted. In the process, only the component that changes the polarization state due to the influence of the stress acting on the object W is extracted (water) The second polarized light B) of the flat component is output in a direction different from the first polarized light A. In other words, the second polarized light B is output toward the mirror 5 provided on the upstream side. Further, BDP6 corresponds to the separation means of the present invention.
光彈性調變器7具有預先決定之雙折射的變化量,具有對測定對象物W之光彈性量線性地輸出第2偏光檢測部24所檢測之第2偏光B的檢測信號值之功能。即,光彈性調變器7以對比構成測定對象物W之玻璃基板W1、W2或物鏡9等的殘留雙折射更小之雙折射施加調變的狀態提供,並僅抽出交流成分。具體而言,設物鏡9或光學系統之雙折射所引起的相位延遲(retardation)為Φ 0、其方向為θ 0、光彈性調變器7之雙折射所引起的相位延遲為δ 0時,交流成分變成如下式所示。其中,設| Φ 0/δ 0 |<0.1,(Φ 0)2 為可忽略的量。進行如下之計算。細節將後述。The photo-elasticity modulator 7 has a function of changing the detection signal value of the second polarization B detected by the second polarization detecting unit 24 linearly with respect to the photoelastic amount of the measurement target W. In other words, the photoelastic transducer 7 is provided in a state in which the birefringence in which the residual birefringence of the glass substrate W1, W2 or the objective lens 9 constituting the measurement target W is smaller is applied, and only the alternating current component is extracted. Specifically, when the phase retardation caused by the birefringence of the objective lens 9 or the optical system is Φ 0 , the direction thereof is θ 0 , and the phase delay caused by the birefringence of the photoelastic modulator 7 is δ 0 , The AC component becomes as shown in the following formula. Wherein, Φ 0 / δ 0 | < 0.1, (Φ 0) 2 is a negligible amount. Perform the following calculations. The details will be described later.
從[δ 0sin π ft+(1/2)Φ 0sin(2(θ 0-θ r))]2 → [δ 0+(1/2)Φ 0sin(2(θ 0.θ r))]2 .[δ 0+(1/2)Φ 0sin(2(θ 0.θ r))]2 =δ 0 Φ 0sin(2(θ 0.θ r))From [δ 0sin π ft + (1/2) Φ 0sin(2(θ 0-θ r))] 2 → [δ 0+(1/2)Φ 0sin(2(θ 0.θ r))] 2 . [δ 0+(1/2)Φ 0sin(2(θ 0.θ r))] 2 =δ 0 Φ 0sin(2(θ 0.θ r))
在此,施加將調變頻率設為100Hz的調變並量測。上式之參數θ r係根據水晶8之旋光性者,和波長相依地變化。即,根據旋光性之轉角θ r相對於波長λ為A+B/λ2 ,和波長之平方的倒數成正比,θ r和波長具有一對一的關係。將其分光,再以後述之一次元的第1線感測器20檢測時,各像素位置對應於波長。上述之對頻率的分布意指以該θ r為變數的分布。此外,光彈性調變器7相當於本發明之第 1及第2調變手段。Here, the modulation with the modulation frequency set to 100 Hz is applied and measured. The parameter θ r of the above formula changes depending on the wavelength of the crystal 8 and the wavelength. That is, the rotation angle θ r according to the optical rotation is A + B / λ 2 with respect to the wavelength λ, and is proportional to the reciprocal of the square of the wavelength, and θ r has a one-to-one relationship with the wavelength. When it is split and detected by the first line sensor 20 which will be described later, each pixel position corresponds to the wavelength. The above-described distribution of frequencies means a distribution in which the θ r is a variable. Further, the photoelastic transducer 7 corresponds to the first and second modulation means of the present invention.
水晶8係在使偏光往復透過的情況,具有對透過去路的頻率繞光軸轉動既定之轉角的旋光性。又,轉角根據從光源1所照射之光的頻帶之上限和下限而異。因此,在本實施例,為了易於近似地求得利用後述之滑動構件19求得的相位,而將長度設定成可得到兩頻率之轉角的差變成90°以上之光路長度。例如,要在180°之範圍改變直線偏光面時,變成如以下所示。波長區域係770~820mm的情況,因為在下限的770mm,轉角為12.3°/mm,而在上限的820mm,轉角為10.8°/mm,所以水晶8之長度(光路長度)變成120mm。In the case where the polarized light is reciprocally transmitted, the crystal 8 has an optical rotation that rotates a predetermined angle by the frequency of the transmitted path around the optical axis. Further, the rotation angle differs depending on the upper limit and the lower limit of the frequency band of the light irradiated from the light source 1. Therefore, in the present embodiment, in order to easily approximate the phase obtained by the sliding member 19 described later, the length is set such that the difference in the angle between the two frequencies becomes an optical path length of 90 or more. For example, when the linear polarizing surface is changed within a range of 180°, it becomes as follows. In the case where the wavelength region is 770 to 820 mm, the rotation angle is 12.3°/mm at the lower limit of 770 mm, and the rotation angle is 10.8°/mm at the upper limit of 820 mm. Therefore, the length (optical path length) of the crystal 8 becomes 120 mm.
物鏡9安裝於可動台10。即,建構成以可和可動台10之前後移動連動地使朝向測定對象物W之偏光的焦點位置位移。The objective lens 9 is attached to the movable table 10. In other words, the focus position of the polarized light toward the measurement target W can be displaced in conjunction with the movement of the movable table 10 before and after the movement.
放置台11形成開口,而得以在保持矩形之測定對象物W的端邊部分,並使光通過中央部分。此外,放置台11相當於本發明之保持手段。The placing table 11 is formed with an opening to hold the rectangular end portion of the measuring object W and pass the light through the central portion. Further, the placing table 11 corresponds to the holding means of the present invention.
第2偏光檢測部13由透鏡14、形成有針孔15的板狀物16、透鏡17、繞射光柵18、物鏡19、以及第1線感測器20所構成。The second polarization detecting unit 13 is composed of a lens 14 , a plate 16 on which the pinhole 15 is formed, a lens 17 , a diffraction grating 18 , an objective lens 19 , and a first line sensor 20 .
板狀物16的針孔15使配備於測定對象物W之前的物鏡9沿著光軸前後地移動,而從焦點是對準構成測定對象物W之玻璃基板W1、W2的各層之表面或背面時的各焦點面所 反射回來的反射光之中,僅BDP6所分離的第2偏光會通過。此外,在本實施例之焦點面,有玻璃基板W1的表面和與該表面接觸之空氣層的接觸界面、位於玻璃基板W1、W2之間隙的空氣層和接觸之玻璃基板W1的背面或玻璃基板W2之表面的接觸界面、以及玻璃基板W2的背面和放置台11之表面的接觸界面。The pinhole 15 of the plate-like object 16 moves the objective lens 9 before the measurement target object W forward and backward along the optical axis, and the focus is on the surface or the back surface of each layer of the glass substrates W1 and W2 constituting the measurement object W. Each focal point Among the reflected light reflected back, only the second polarized light separated by the BDP 6 passes. Further, in the focal point of the present embodiment, there is a contact interface between the surface of the glass substrate W1 and the air layer in contact with the surface, an air layer located in the gap between the glass substrates W1, W2, and a back surface or glass substrate of the contact glass substrate W1. The contact interface of the surface of W2, and the contact interface of the back surface of the glass substrate W2 and the surface of the placement stage 11.
繞射光柵18係反射式且從反射鏡5將第2偏光分光並照射於第1線感測器20。此外,繞射光柵18相當於本發明的分光手段。The diffraction grating 18 is of a reflective type and splits the second polarized light from the mirror 5 and irradiates the first line sensor 20. Further, the diffraction grating 18 corresponds to the spectroscopic means of the present invention.
第1線感測器20係建構成將複數個檢測元件整列配備成一維陣列形狀。作為第1線感測器20,例如可列舉對應於512、1024、2048像素等者。此外,第1線感測器20相當於本發明之第1檢測手段。The first line sensor 20 is constructed to arrange a plurality of detecting elements in a one-dimensional array shape. Examples of the first line sensor 20 include 512, 1024, and 2048 pixels. Further, the first line sensor 20 corresponds to the first detecting means of the present invention.
其次,第1偏光檢測部2由第1偏光分光器12、透鏡21、形成有針孔22的板狀物23、第2非偏光分光器24以及光二極體25所構成。Next, the first polarization detecting unit 2 is composed of a first polarization beam splitter 12, a lens 21, a plate member 23 in which the pinholes 22 are formed, a second non-polarizing beam splitter 24, and an optical diode 25.
透鏡21將從第1偏光分光器12到來之直線偏光聚光並使焦點對準形成於板狀物23的針孔22。The lens 21 condenses the linearly polarized light coming from the first polarization beam splitter 12 and focuses the contact on the pinhole 22 of the plate member 23.
光二極體25接收已通過針孔22的第1偏光A,並轉換成光強度的檢測信號,再向後述的控制單元27傳送。此外,光二極體25相當於本發明的第2檢測手段。The photodiode 25 receives the first polarized light A that has passed through the pinhole 22, and converts it into a detection signal of the light intensity, and transmits it to the control unit 27, which will be described later. Further, the photodiode 25 corresponds to the second detecting means of the present invention.
第2非偏光分光器24係無極性者,且將光二分成朝直線前進方向和正交方向。即,將已通過針孔22的光分支。使 各光朝向光二極體25和平行度檢測部26。The second non-polarizing beam splitter 24 is non-polar and splits the light into a straight forward direction and an orthogonal direction. That is, the light that has passed through the pinhole 22 is branched. Make Each of the lights faces the photodiode 25 and the parallelism detecting portion 26.
平行度檢測部26檢測放置台11所保持之測定對象物W的彎曲或翹曲之發生狀態。如第2圖所示,平行度檢測部26將4個光二極體26a~26d相鄰地配備成二維陣列形狀,從第2非偏光分光器24到來之直線偏光的光軸位於彼此相鄰的中心點C,形成跨4個光二極體26a~26d並均等地受光。將4個光二極體26a~26d所接收的直線偏光轉換成光強度之檢測信號並向控制單元27傳送。即,平行度檢測部26檢測反射光之光路的偏差。此外,平行度檢測部26相當於本發明之第4檢測手段。The parallelism detecting unit 26 detects the occurrence state of the bending or warpage of the measuring object W held by the placing table 11. As shown in Fig. 2, the parallelism detecting unit 26 arranges the four photodiodes 26a to 26d adjacently in a two-dimensional array shape, and the optical axes of the linearly polarized lights coming from the second non-polarizing beam splitter 24 are adjacent to each other. The center point C is formed to be equally received by the four photodiodes 26a to 26d. The linearly polarized light received by the four photodiodes 26a to 26d is converted into a light intensity detection signal and transmitted to the control unit 27. That is, the parallelism detecting unit 26 detects the deviation of the optical path of the reflected light. Further, the parallelism detecting unit 26 corresponds to the fourth detecting means of the present invention.
控制單元27包含有鎖定放大器28、計算處理部29、驅動控制部30、以及操作部31等。以下,具體說明各構造。The control unit 27 includes a lock-in amplifier 28, a calculation processing unit 29, a drive control unit 30, an operation unit 31, and the like. Hereinafter, each structure will be specifically described.
鎖定放大器28從第1線感測器20所傳來之第2偏光B的光譜信號,濾除直流成分,而僅抽出交流成分。關於該處理,將在以下的動作說明詳述。此外,鎖定放大器28相當於本發明的除去手段。The lock-in amplifier 28 filters out the DC component from the spectral signal of the second polarized light B transmitted from the first line sensor 20, and extracts only the AC component. This operation will be described in detail below. Further, the lock-in amplifier 28 corresponds to the removal means of the present invention.
計算處理部29主要進行2種處理。第1處理,為算出光路之偏差的修正量,使得因放置台11所保持之測定對象物W的翹曲等之影響,而從焦點面反射回來的偏光可被第1及第2偏光檢測部2、13之光二極體25及第1線感測器20被接收。第2處理,為求得因作用於測定對象物W之既定的玻璃基板W1或W2之應力而產生之雙折射的變化量、作用於既定之玻璃基板的主應力之差和其方向、以及該主應 力之差係壓縮或拉伸。關於這些具體的處理,將在以下之動作說明詳述。此外,計算處理部29相當於本發明的計算手段。The calculation processing unit 29 mainly performs two types of processing. In the first processing, in order to calculate the correction amount of the deviation of the optical path, the polarized light reflected from the focal plane is affected by the warpage or the like of the measurement target W held by the placing table 11, and the first and second polarization detecting units can be used. The photodiode 25 of the 2, 13 and the first line sensor 20 are received. In the second process, the amount of change in birefringence caused by the stress acting on the predetermined glass substrate W1 or W2 of the measurement target W, the difference between the principal stress acting on the predetermined glass substrate, and the direction thereof, and the Main should The difference in force is compression or stretching. These specific processes will be described in detail in the following description of the operations. Further, the calculation processing unit 29 corresponds to the calculation means of the present invention.
驅動控制部30向致動器32傳送根據由操作部31所設定之條件的驅動信號。即,使放置台11在平面上傾斜。此外,致動器32各自相當於本發明的驅動手段。The drive control unit 30 transmits a drive signal according to the condition set by the operation unit 31 to the actuator 32. That is, the placing table 11 is inclined on the plane. Further, the actuators 32 each correspond to the driving means of the present invention.
包含有這些各構造之控制單元27,除了上述的處理以外,還根據起始之設定條件,統籌地控制各驅動機構等的動作。The control unit 27 including these various configurations, in addition to the above-described processing, collectively controls the operations of the respective drive mechanisms and the like in accordance with the initial setting conditions.
其次,按照第3圖所示之流程圖,說明有關使用該實施例裝置測量作用於測定對象物W之各玻璃基板W1、W2的主應力之差和主應力之差的作用方向、以及該主應力的差係壓縮或拉伸之一輪的動作及處理。此外,茲以應力作用於構成測定對象物W之玻璃基板W1、W2的雙方之情況為例作說明。Next, according to the flowchart shown in FIG. 3, the direction of action of the difference between the principal stress and the principal stress of each of the glass substrates W1 and W2 acting on the object W to be measured by the apparatus of this embodiment will be described, and the main direction will be described. The difference in stress is the action and processing of one wheel of compression or stretching. In addition, the case where stress acts on both of the glass substrates W1 and W2 which comprise the object to be measured W is demonstrated as an example.
操作者操作操作部31而設定並輸入測定對象物W之總厚度、從光源1所照射之頻帶、及調變頻率等的測定條件(步驟S1)。此外,在本實施例之情況,波長帶為770~820nm,而屬調變頻率之共振頻率設為100Hz。The operator operates the operation unit 31 to set and input measurement conditions such as the total thickness of the measurement target W, the frequency band to be irradiated from the light source 1, and the modulation frequency (step S1). Further, in the case of the present embodiment, the wavelength band is 770 to 820 nm, and the resonance frequency belonging to the modulation frequency is set to 100 Hz.
條件設定結束時,將測定對象物W放置並保持於放置台11,而且控制各驅動機構的動作而變成可開始測量之狀態。在此時刻,可動台10動作,而物鏡9之焦點位置對準測定對象物W的最表面。這些測定條件備齊時,操作者進 行測試照射(步驟S2)。When the condition setting is completed, the measurement object W is placed and held on the placement table 11, and the operation of each drive mechanism is controlled to be in a state where measurement can be started. At this time, the movable table 10 is operated, and the focus position of the objective lens 9 is aligned with the outermost surface of the measurement object W. When these measurement conditions are ready, the operator enters The line is tested for illumination (step S2).
此時,從光源1向測定對象物W照射直線偏光,並由平行度檢測部26接收所反射回來的第1偏光A,再向控制單元27的計算處理部29傳送各光二極體26a~26d之光強度的檢測信號。At this time, linearly polarized light is irradiated from the light source 1 to the measurement target W, and the reflected first polarized light A is received by the parallelism detecting unit 26, and the respective photodiodes 26a to 26d are transmitted to the calculation processing unit 29 of the control unit 27. The detection signal of the light intensity.
計算處理部29從各光二極體26a~26d之光強度和平均值,判斷從光源1至測定對象物W的光路有無偏差(步驟S3)。在確認了光路有偏差的情況,計算處理部29求得用以修正因測定對象物W之翹曲等的影響而發生之偏差的修正量並進行信號轉換(步驟S4)。向驅動控制部30傳送此修正信號。驅動控制部30根據此信號使致動器32動作並使放置台11傾斜,以使反射光均勻地照射於平行度檢測部26的各光二極體26a~26d(步驟S5)。The calculation processing unit 29 determines whether or not the optical path from the light source 1 to the measurement target W is different from the light intensity and the average value of each of the photodiodes 26a to 26d (step S3). When it is confirmed that there is a deviation in the optical path, the calculation processing unit 29 obtains a correction amount for correcting the deviation due to the influence of the warpage or the like of the measurement target W, and performs signal conversion (step S4). This correction signal is transmitted to the drive control unit 30. The drive control unit 30 operates the actuator 32 based on the signal, and tilts the placement table 11 so that the reflected light is uniformly applied to the respective photodiodes 26a to 26d of the parallelism detecting unit 26 (step S5).
光路偏差之偏差修正處理結束時,再進行測試照射。若在此時刻光路偏差被消除,則開始測量(步驟S6)。若光路偏差未被消除,則重複進行從步驟S2開始之偏差修正處理。When the deviation correction processing of the optical path deviation is completed, the test irradiation is performed. If the optical path deviation is eliminated at this time, the measurement is started (step S6). If the optical path deviation is not eliminated, the deviation correction processing from step S2 is repeated.
開始測量時,從光源1向測定對象物W照射光。此光被第1偏光分光器12分支後直線前進,再被法拉第轉動器3轉動45°,被1/2波長板4再賦予傾斜角45°,而變成由垂直成分所構成之直線偏光。When the measurement is started, light is irradiated from the light source 1 to the measurement target W. This light is branched by the first polarization beam splitter 12, linearly advanced, rotated by 45 degrees by the Faraday rotator 3, and further imparted a tilt angle of 45° by the 1/2 wavelength plate 4 to become linearly polarized light composed of vertical components.
此直線偏光完全透過BDP6,再透過光彈性調變器7。此時,被施加100Hz的調變。調變後之直線偏光透過水晶8。 此時,對直線偏光賦予根據因所設定之頻帶的上限和下限而產生的轉角之差所決定之既定的轉角。即,本實施例的情況,轉角之差變成180°。透過水晶8之直線偏光到達測定對象物W。This linear polarized light passes through the BDP 6 and passes through the photoelastic transducer 7. At this time, a modulation of 100 Hz is applied. The linear polarized light after modulation is transmitted through the crystal 8. At this time, a predetermined rotation angle determined by the difference between the rotation angles due to the upper limit and the lower limit of the set frequency band is given to the linearly polarized light. That is, in the case of the present embodiment, the difference in the corner angle becomes 180°. The linearly polarized light passing through the crystal 8 reaches the measurement object W.
一面照射此光一面使可動台10僅前進測定對象物W之厚度量,並使由玻璃基板W1、W2之各表背面反射回來的第1偏光A和第2偏光B朝向光二極體25及第1線感測器20。While the light is being irradiated, the movable table 10 advances only the thickness of the measurement object W, and the first polarized light A and the second polarized light B reflected by the front and back surfaces of the glass substrates W1 and W2 are directed toward the photodiode 25 and the first 1-line sensor 20.
此時,在應力作用於玻璃基板W1、W2的情況,在由各焦點面反射回來的反射光包含有第2偏光B。即,如第4圖所示,由玻璃基板W1的表面和空氣層之接觸界面(焦點面P1)反射回來的反射光R1、由玻璃基板W1與玻璃基板W2之微小間隙的空氣層和玻璃基板W1之背面的接觸界面(焦點面P2)反射回來的反射光R2、由空氣層和玻璃基板W2的表面之接觸界面(焦點面P3)反射回來的反射光R3、以及由玻璃基板W2和放置台11之接觸界面(焦點面P4)反射回來的反射光R4各自包含有屬第2偏光B之檢測信號的彈性信號。At this time, when stress acts on the glass substrates W1 and W2, the reflected light reflected by each of the focal planes includes the second polarized light B. That is, as shown in Fig. 4, the reflected light R1 reflected by the contact interface (focus surface P1) between the surface of the glass substrate W1 and the air layer, and the air layer and the glass substrate which are minute gaps between the glass substrate W1 and the glass substrate W2 The reflected light R2 reflected by the contact interface (focus surface P2) on the back surface of W1, the reflected light R3 reflected from the contact interface (focus surface P3) of the surface of the air layer and the glass substrate W2, and the glass substrate W2 and the placing table The reflected light R4 reflected by the contact interface (focus surface P4) of 11 includes an elastic signal of the detection signal of the second polarized light B.
由各焦點面P1~P4反射回來的反射光回到和起始光相同之光路,再由光彈性調變器7施加調變,並透過BDP6。此時,分離成受到應力之影響而產生的第2偏光B和未受到影響之第1偏光A。所分離之第1偏光A由上游側的光二極體25接收。被輸出於第2偏光B和第1偏光A不同的光 路,並由反射鏡5引導至針孔15,通過後,到達繞射光柵18。The reflected light reflected by each of the focal planes P1 to P4 returns to the same optical path as the initial light, and is modulated by the photoelastic transducer 7 and transmitted through the BDP 6. At this time, the second polarized light B generated by the influence of the stress and the first polarized light A which is not affected are separated. The separated first polarized light A is received by the optical diode 25 on the upstream side. Light that is outputted differently from the second polarized light B and the first polarized light A The path is guided by the mirror 5 to the pinhole 15, and after passing, it reaches the diffraction grating 18.
到達繞射光柵18之第2偏光B被進行光譜轉換後反射,而往第1線感測器20。由第1線感測器20所檢測之第2偏光B的光譜信號被輸入控制單元27之鎖定放大器28。The second polarized light B that has reached the diffraction grating 18 is spectrally converted and reflected, and goes to the first line sensor 20. The spectral signal of the second polarized light B detected by the first line sensor 20 is input to the lock-in amplifier 28 of the control unit 27.
此外,因為在本實施例有4個焦點面P1~P4,所以雖然由光二極體25所檢測時之光強度應產生4個尖峰值,但是如第5圖所示,出現3個尖峰值。此現象,為因為在由空氣層之前後的玻璃面反射之光發生干涉而提高光強度,再由焦點面P2及P3所反射回來的反射光R2及R3合成的。Further, since there are four focal planes P1 to P4 in this embodiment, although the light intensity detected by the photodiode 25 should generate four sharp peaks, as shown in Fig. 5, three sharp peaks appear. This phenomenon is caused by the interference of the light reflected from the glass surface before and after the air layer to increase the light intensity, and the reflected light R2 and R3 reflected by the focal planes P2 and P3 are combined.
接著,鎖定放大器28和計算處理部29求得從所檢測之光譜信號除去了直流成分的光譜信號,而且根據此光譜信號求得各焦點面之雙折射的變化量(步驟S7)。此外,將玻璃基板W1的表面、玻璃基板W1和W2的邊界、玻璃基板W2之背面各自設為P1、(P2+P3)、P4,並將在那裡之檢測信號各自設為I0x、I0y、I1x、I1y、I2x、I2y。在此,以記號x所示者係由光二極體25所檢測的成分,以記號y所示者係由第1線感測器20所檢測的成分。Next, the lock-in amplifier 28 and the calculation processing unit 29 obtain a spectral signal from which the DC component is removed from the detected spectral signal, and obtain a change amount of the birefringence of each focal plane based on the spectral signal (step S7). Further, the surface of the glass substrate W1, the boundary between the glass substrates W1 and W2, and the back surface of the glass substrate W2 are each P1, (P2+P3), and P4, and the detection signals there are set to I0x, I0y, I1x, and I1y, respectively. , I2x, I2y. Here, the component detected by the photodiode 25 is indicated by the symbol x, and the component detected by the first line sensor 20 is indicated by the symbol y.
首先,取得來自位置P1之第2偏光B係為光譜形式的信號。能以下式表示來自位置P1之信號,第(2)式在調變信號為δ 0時,成為第6圖所示之關於頻率(=光速/波長)的曲線。First, the second polarized light B from the position P1 is obtained as a signal in the form of a spectrum. The signal from the position P1 can be expressed by the following equation, and the equation (2) is a curve with respect to the frequency (=light speed/wavelength) shown in Fig. 6 when the modulation signal is δ 0 .
I0x=K0 (1) I0y(t,θ r)=K0 K0(θ 0r)[δ 0sin2 π ft+(1/2)Φ 0sin(2(θ 0-θ r))]2 (2)I0x=K0 (1) I0y(t,θ r)=K0 K0(θ 0r)[δ 0sin2 π ft+(1/2)Φ 0sin(2(θ 0-θ r))] 2 (2)
此外,K0係反射強度,K0(θ 0r)係由分光器所得之波長的強度分布的頻譜,Φ 0係依物鏡等構成裝置之光學元件的影響所引起之雙折射,θ 0係其方向,θ r係和波長相依之直線偏光的轉角。決定K0(θ 0r)之手段將於後面述及。δ 0係調變信號的振幅。又,將玻璃基板W1、W2之雙折射的大小Φ 1、Φ 2以及δ 0設為| Φ 1 |<0.1弧度、| Φ 2 |<0.1弧度。因為認為(Φ 1)2 、(Φ 2)2 小而予以忽略。Further, K0 is a reflection intensity, K0 (θ 0r) is a spectrum of an intensity distribution of a wavelength obtained by a spectroscope, and Φ 0 is a birefringence caused by an influence of an optical element of a device such as an objective lens, and θ 0 is a direction thereof. θ r is the angle of rotation of the linearly polarized light that depends on the wavelength. The means for determining K0 (θ 0r) will be described later. δ 0 is the amplitude of the modulated signal. Further, the sizes Φ 1 , Φ 2 and δ 0 of the birefringence of the glass substrates W1 and W2 are set to | Φ 1 | < 0.1 radians, | Φ 2 | < 0.1 radians. Because (Φ 1) 2 and (Φ 2) 2 are considered to be small and ignored.
在此,藉由將檢測信號輸入鎖定放大器28,而從檢測信號除去直流成分,得到交流成分。即,可如下式所示表示。Here, by inputting the detection signal to the lock-in amplifier 28, the DC component is removed from the detection signal to obtain an AC component. That is, it can be represented by the following formula.
I0L=I0y(δ 0)-I0y(-δ 0)=K0 K0(θ 0r)((2 δ 0)(Φ 0sin(2(θ 0-θ r))) (3)I0L=I0y(δ 0)-I0y(-δ 0)=K0 K0(θ 0r)((2 δ 0)(Φ 0sin(2(θ 0-θ r)))) (3)
在此,將對調變信號δ 0sin2 π ft供給δ 0、-δ 0之時刻設為t1、t2,以I0y(δ 0)=I0y(t1,δ 0)表示I0y(t1,θ r)。以後關於I0y(δ 0)的表示,亦採用相同想法的表示。又,將δ 0設為產生約1nm之相位延遲的大小之已知值。Here, the timing at which δ 0 and -δ 0 are supplied to the modulation signal δ 0sin2 π ft is t1 and t2, and I0y(t1, θ r) is represented by I0y(δ 0)=I0y(t1, δ 0). In the future, the representation of I0y (δ 0) is also expressed by the same idea. Further, δ 0 is set to a known value which gives a magnitude of a phase delay of about 1 nm.
又,根據作用於測定對象物W的應力而對來自各焦點面之反射光所含的檢測信號,修正從起始光所分離衰減的量。即,從焦點面P1反射回來的反射光之中抽出由光二極體25所檢測的檢測信號I0x,再除第(3)式而修正。即,將該第(3)式除以I0x時,求得(2K0(θ 0).δ 0)(Φ 0sin(2(θ 0-θ r)))。Further, the detection signal contained in the reflected light from each of the focal planes is corrected by the stress acting on the measurement target W, and the amount of attenuation from the initial light is corrected. In other words, the detection signal I0x detected by the photodiode 25 is extracted from the reflected light reflected from the focal plane P1, and corrected by the equation (3). That is, when the equation (3) is divided by I0x, (2K0(θ 0).δ 0) (Φ 0sin(2(θ 0 - θ r))) is obtained.
接著,能以下式表示來自位置(P2+P3)的第2偏光B發生光譜變化時之信號。關於第(4)、(5)式之記號的說明將於後面述及。Next, the signal when the second polarized light B from the position (P2+P3) is spectrally changed can be expressed by the following equation. The description of the symbols of the formulas (4) and (5) will be described later.
I1x=K1 (4) I1y(t,θ r)=K1 K1(θ r)[δ 0sin2 π ft+(1/2)Φ 0sin(2(θ 0-θ r))+(1/2)Φ 1sin(2(θ 1-θ r))]2 (5)I1x=K1 (4) I1y(t,θ r)=K1 K1(θ r)[δ 0sin2 π ft+(1/2)Φ 0sin(2(θ 0-θ r))+(1/2)Φ 1sin (2(θ 1-θ r))] 2 (5)
在此,藉由將檢測信號輸入鎖定放大器28,而從檢測信號除去直流成分,並得到交流成分。即,可如下式所示表示,而且如第7圖所示,得到雙折射之變化量的分布。Here, by inputting the detection signal to the lock-in amplifier 28, the DC component is removed from the detection signal, and an AC component is obtained. That is, it can be represented by the following formula, and as shown in Fig. 7, the distribution of the amount of change in birefringence is obtained.
I1yL(θ r)=I1y(δ 0)-I1y(-δ 0)=2K1 K1(θ r)δ 0[Φ 0sin(2(θ 0-θ r))+Φ 1sin(2(θ 1-θ r))] (6)I1yL(θ r)=I1y(δ 0)-I1y(-δ 0)=2K1 K1(θ r)δ 0[Φ 0sin(2(θ 0-θ r))+Φ 1sin(2(θ 1-θ r ))] (6)
在此,本發明在最初之測量時,首先,將光彈性調變器7之光彈性調變的振幅δ’0設定成大至可忽略物鏡等構成裝置之光學構件的雙折射Φ 0之程度(| δ’0/Φ 0 |>100),並測量和波長相依的反射強度。這在位置P1可得到下式之關係。此時不必調變,朝向厚度方向掃描而取得資料。Here, in the first measurement of the present invention, first, the amplitude δ'0 of the photoelastic modulation of the photoelastic transducer 7 is set to be large enough to negate the birefringence Φ 0 of the optical member constituting the device such as the objective lens. (| δ'0/Φ 0 |>100) and measure the wavelength-dependent reflection intensity. This gives the relationship of the following formula at the position P1. At this time, it is not necessary to adjust, and the data is scanned in the thickness direction to obtain data.
[δ’0+(1/2)Φ 0sin(2(θ 0-θ r))]2 ≒δ’02 [δ'0+(1/2)Φ 0sin(2(θ 0-θ r))] 2 ≒δ'0 2
此信號係作為光彈性信號δ’0而被分光器取入的光譜(=δ’0(θ r)),且預先作為各位置的修正資料保持。在其他的位置(P2+P3)、P4,一樣之近似亦成立,但是表示省略。包含位置P1在內,在上述各式將3個光譜設為如以下所示。This signal is a spectrum (= δ'0 (θ r)) taken in by the spectroscope as the photoelastic signal δ'0, and is held in advance as correction data for each position. At the other positions (P2+P3) and P4, the same approximation is also established, but the omission is omitted. Including the position P1, the three spectra in the above equations are set as follows.
K0(θ r)、K1(θ r)、K2(θ r) (7)K0(θ r), K1(θ r), K2(θ r) (7)
此外,常數K0、K1、K2對應於在使用頻率間將第(7)式之光譜積分者,係由光二極體25所得的信號。Further, the constants K0, K1, and K2 correspond to signals obtained by integrating the spectrum of the equation (7) between the frequencies of use, which are obtained by the photodiode 25.
在此,在此情況之δ’0係大的光彈性信號,預先從所附加的應力得知。例如,以雙折射的延遲距離表達此光彈性信號,設為20nm。Here, in this case, the photoelastic signal having a large δ'0 is known in advance from the added stress. For example, the photoelastic signal is expressed by a retardation distance of birefringence and is set to 20 nm.
根據該第(7)式和作用於測定對象物W的應力而對來自各焦點面之反射光所含的檢測信號中來自第1線感測器20的檢測信號修正從起始光所分離而衰減的量。即,將兩邊除以第(7)式和I1x。結果,得到下式。The correction signal from the first line sensor 20 in the detection signal included in the reflected light from each of the focal planes is separated from the initial light by the stress of the object to be measured W and the stress acting on the object W. The amount of attenuation. That is, the two sides are divided by the equation (7) and I1x. As a result, the following formula is obtained.
[I1yL(θ r)/I1x/K1(θ r)-I0L(θ r)/I0x/K0(θ r)]=2 δ 0[Φ 1sin(2(θ 1-θ r))] (8)[I1yL(θ r)/I1x/K1(θ r)-I0L(θ r)/I0x/K0(θ r)]=2 δ 0[Φ 1sin(2(θ 1-θ r))] (8)
接著,可用下式表示使來自位置P4之第2偏光B發生光譜變化時的信號。又,和上述一樣可得到和第7圖類似之雙折射的變化量之分布。Next, a signal when the second polarized light B from the position P4 is spectrally changed can be expressed by the following equation. Further, as in the above, the distribution of the amount of change in birefringence similar to that of Fig. 7 can be obtained.
關於第(9)、(10)式之記號的說明將於後面述及。The description of the symbols of the formulas (9) and (10) will be described later.
I2x=K2 (9)I2x=K2 (9)
I2y(t,θ r)=K2 K2(θ r)[δ 0sin2 π ft+(1/2)Φ 0sin(2(θ 0-θ r))+(1/2)Φ 1sin(2(θ 1-θ r))+(1/2)Φ 2sin(2(θ 2-θ r))]2 (10)I2y(t,θ r)=K2 K2(θ r)[δ 0sin2 π ft+(1/2)Φ 0sin(2(θ 0-θ r))+(1/2)Φ 1sin(2(θ 1- θ r))+(1/2)Φ 2sin(2(θ 2-θ r))] 2 (10)
在此,藉由將檢測信號輸入鎖定放大器28,而從檢測信號除去直流成分,並得到交流成分。即,可如下式所示表示。Here, by inputting the detection signal to the lock-in amplifier 28, the DC component is removed from the detection signal, and an AC component is obtained. That is, it can be represented by the following formula.
I2yL(θ r)=I2y(δ 0)-I2y(-δ 0)=2K2 K2(θ r)δ 0[Φ 0sin(2(θ 0-θ r))+Φ 1sin(2(θ 1-θ r))+Φ 2sin(2(θ 2-θ r))] (11)I2yL(θ r)=I2y(δ 0)-I2y(-δ 0)=2K2 K2(θ r)δ 0[Φ 0sin(2(θ 0-θ r))+Φ 1sin(2(θ 1-θ r ))+Φ 2sin(2(θ 2-θ r))] (11)
此外,根據該第(7)式和作用於測定對象物W的應力而對來自各焦點面之反射光所含的檢測信號中來自第1線感測器20的檢測信號修正從起始光所分離而衰減的量。即,將兩邊除以第(7)式和I2x。結果,得到下式。Further, according to the equation (7) and the stress acting on the measurement target W, the detection signal from the first line sensor 20 in the detection signal included in the reflected light from each of the focal planes is corrected from the initial light. The amount of attenuation that is separated. That is, divide both sides by equations (7) and I2x. As a result, the following formula is obtained.
[I2yL(θ r)/I2x/K2(θ r)-I0L(θ r)/I0x/K0(θ r)]=2 δ 0[Φ 1sin(2(θ 1-θ r))+Φ 2sin(2(θ 2-θ r))] (12)[I2yL(θ r)/I2x/K2(θ r)-I0L(θ r)/I0x/K0(θ r)]=2 δ 0[Φ 1sin(2(θ 1-θ r))+Φ 2sin(2 (θ 2-θ r))] (12)
自該第(3)式求Φ 0、θ 0,接著,從第(8)、(11)式求Φ 1、Φ 2、θ 1、θ 2。From the equation (3), Φ 0 and θ 0 are obtained, and then Φ 1 , Φ 2, θ 1 and θ 2 are obtained from the equations (8) and (11).
此外,在上述各數學式,I0x、I1x、I2x係反射成分,I0y、I1y、I2y係雙折射的變化量,即和應力相依之量,δ 0係調變的振幅,θ 1係玻璃基板W1之應力的方向,θ 2係玻璃基板W2之應力的方向,θ r係直線偏光的轉角,對應於波長770~820nm,K0、K1、K2、K3係根據反射係數的反射光量。sin2 π ft係光彈性調變器的調變部,頻率f係100Hz。Further, in each of the above mathematical expressions, I0x, I1x, and I2x are reflection components, I0y, I1y, and I2y are birefringence variations, that is, stress-dependent amounts, δ 0 is modulated amplitude, and θ 1 is a glass substrate W1. The direction of the stress, θ 2 is the direction of the stress of the glass substrate W2, and θ r is the angle of the linearly polarized light, corresponding to the wavelength of 770 to 820 nm, and K0, K1, K2, and K3 are the amounts of reflected light according to the reflection coefficient. Sin2 π ft is the modulation part of the photoelastic modulator, and the frequency f is 100 Hz.
從該第(3)、(8)、(11)式求得,在各焦點面的光譜信號之中,從包含有實際上受到應力之影響的彈性信號之來自玻璃基板W1和W2的光譜信號(8)減去未包含有彈性信號之玻璃基板W1的光譜信號(3)。一樣地,對於來自玻璃基板W2之背面的光譜信號亦一樣,減去屬該光譜信號(11)以外 之信號的第(3)、(8)式。藉此,可僅抽出各玻璃基板W1、W2所包含的彈性信號。From the equations (3), (8), and (11), the spectral signals from the glass substrates W1 and W2 including the elastic signals actually affected by the stress are obtained from the spectral signals of the respective focal planes. (8) The spectral signal (3) of the glass substrate W1 not including the elastic signal is subtracted. Similarly, the spectral signal from the back side of the glass substrate W2 is also the same, minus the spectral signal (11). Equations (3) and (8) of the signal. Thereby, only the elastic signals included in the respective glass substrates W1, W2 can be extracted.
根據所求得之各光譜信號,從雙折射之變化量的分布求相位。即,得到由第7圖或第8圖所示之交流成分所構成的sin曲線。從此振幅V求主應力之差。又,算出在sin曲線之0~90°的範圍通過由第7圖中的虛線所包圍之原點0的角度,並從那時的傾斜求得主應力之方向。The phase is obtained from the distribution of the amount of change in birefringence based on the obtained spectral signals. That is, a sin curve composed of the alternating current components shown in Fig. 7 or Fig. 8 is obtained. From this amplitude V, the difference in principal stress is obtained. Further, the angle of the origin 0 surrounded by the broken line in Fig. 7 is calculated in the range of 0 to 90° of the sin curve, and the direction of the principal stress is obtained from the inclination at that time.
此外,藉由使用和測定對象物W相同的試件並預先以實驗求得之主應力的差之壓縮和拉伸的基準模型、及藉實測所求得之第7圖或第8圖所示的sin曲線之適配(fitting),而求得作用於測定對象物W之各玻璃基板W1、W2的主應力之差係壓縮或拉伸,此外,在本實施例之情況,第7圖所示之狀態為拉伸,而第8圖所示之狀態係壓縮。In addition, a reference model for compressing and stretching the difference between the principal stresses obtained by experimentally using the same test piece as the object W, and the seventh or eighth figure obtained by actual measurement are used. The fitting of the sin curve determines the difference in the principal stress of each of the glass substrates W1 and W2 acting on the object W to be compressed or stretched. Further, in the case of the present embodiment, FIG. The state shown is stretch, and the state shown in Fig. 8 is compression.
若依據具有上述之構造的光彈性測定裝置,以一面對測定對象物W照射光一面移動物鏡19而改變焦點之一次的動作,可在短時間測量作用於各玻璃基板W1、W2之主應力的差和其方向,以及該主應力之差係壓縮或拉伸。此外,由於物鏡19之焦點間的移動距離亦短,在各玻璃基板W1、W2之量測時間上能以約0.1sec實現。According to the photoelasticity measuring apparatus having the above-described structure, the main stress acting on each of the glass substrates W1 and W2 can be measured in a short time by moving the objective lens 19 while irradiating light to the measuring object W to change the focus once. The difference and its direction, as well as the difference in the principal stress, are either compressed or stretched. Further, since the moving distance between the focal points of the objective lens 19 is also short, the measurement time of each of the glass substrates W1, W2 can be realized at about 0.1 sec.
即,利用具有旋光性之屬光學構件的水晶8,在預先對偏光賦予既定之轉角的狀態下照射於測定對象物W,藉此可得到有效近似相位(sin曲線)之第2偏光B的檢測資料量。In other words, the crystal 8 having an optical component that is optically active is irradiated onto the measurement target W in a state where a predetermined rotation angle is given to the polarized light in advance, whereby the second polarized light B having an effective approximate phase (sin curve) can be detected. The amount of data.
又,因為對偏光施加調變,而且僅抽出利用鎖定放大器28除去直流成分而由交流成分所構成之光譜信號,所以從預先所求得之主應力差的壓縮及拉伸之基準模型的相位,即例如從在0至90°之範圍穿越應力差0的角度之微分係數的正負可區別壓縮、拉伸。Further, since the polarization signal is applied to the polarized light, and only the spectral signal composed of the alternating current component is removed by the lock-in amplifier 28, the phase of the reference model of the compression and stretching of the principal stress difference obtained in advance is obtained. That is, for example, positive and negative differential compression and stretching of the differential coefficient across the angle of the stress difference 0 in the range of 0 to 90°.
又,藉由使第2偏光B通過針孔22,而可僅抽出從各焦點面所回來之受到應力的影響之第2偏光B。換言之,藉由利用共焦點,而可測量受到作用於任意的玻璃基板(層)之應力的影響之第2偏光。Further, by passing the second polarized light B through the pinhole 22, only the second polarized light B which is affected by the stress returned from each focal plane can be extracted. In other words, by using the confocal point, the second polarized light that is affected by the stress acting on any glass substrate (layer) can be measured.
又,藉由利用平行度檢測部26,而可修正測定光之光路偏差,並能以第1線感測器20高精度地接收第1偏光A及第2偏光B。Further, by using the parallelism detecting unit 26, the optical path deviation of the measurement light can be corrected, and the first polarized light A and the second polarized light B can be accurately received by the first line sensor 20.
此外,本發明未限定為上述的實施例,可如下所示變形並實施。Further, the present invention is not limited to the above-described embodiments, and can be modified and implemented as follows.
(1)在該實施例裝置,第1偏光檢測部2亦可和第2偏光檢測部13一樣地作成可得到第1偏光A之光譜信號的構造。具體而言,如第9圖所示,從光源1側依序於光路上配備第1非偏光分光器12、透鏡21、形成有針孔22的板狀物23、透鏡33、第2非偏光檢測部24、繞射光柵34、物鏡35以及第2線感測器36。又,配備平行度檢測部26,其檢測由第2偏光檢測部24所分離之偏光的一方。(1) In the apparatus of this embodiment, the first polarization detecting unit 2 can also have a structure in which the spectral signal of the first polarized light A can be obtained in the same manner as the second polarized light detecting unit 13. Specifically, as shown in FIG. 9, the first non-polarizing beam splitter 12, the lens 21, the plate 23 on which the pinhole 22 is formed, the lens 33, and the second non-polarized light are provided on the optical path from the light source 1 side. The detecting unit 24, the diffraction grating 34, the objective lens 35, and the second line sensor 36. Further, the parallelism detecting unit 26 is provided to detect one of the polarizations separated by the second polarization detecting unit 24.
若依據本構造,對於從各焦點面回來的第1偏光A亦使之產生光譜變化,而可得到光譜信號。因此,能按照頻率 單位比較因第2偏光B之分離而衰減的變化量並修正。即,可提高修正精度。According to this configuration, the spectral signal is obtained by causing a spectral change in the first polarized light A returning from each focal plane. Therefore, according to the frequency The unit compares the amount of change attenuated by the separation of the second polarized light B and corrects it. That is, the correction accuracy can be improved.
(2)在該實施例裝置,亦可如以下所式求得主應力之方向。(2) In the apparatus of this embodiment, the direction of the principal stress can also be obtained as follows.
如第10圖所示,進行複數次改變從測定對象物W之外側所施加的應力之方向的測定,藉由檢測強度變成最小處,而可求得應力之方向。As shown in Fig. 10, the measurement of the direction of the stress applied from the outside of the measurement object W is performed plural times, and the direction of the stress can be obtained by detecting that the intensity becomes the minimum.
(3)在該各實施例,在保持著測定對象物W之平行度的情況,亦可以是省略第2非偏光檢測部24及平行度檢測部26之構造。(3) In the respective embodiments, the second non-polarization detecting unit 24 and the parallelism detecting unit 26 may be omitted when the parallelism of the measurement target W is maintained.
(4)在該各實施例,雖然利用在中央形成開口H的放置台11,但是亦可以是未形成有開口H的平坦物之構成。(4) In the respective embodiments, the placing table 11 in which the opening H is formed in the center is used, but the flat material in which the opening H is not formed may be used.
本發明在不超出其構想或本質下能以其他的具體之形式實施,因此,表示發明之範圍者,不是以上的說明,而應參照所附加之申請專利範圍。The present invention can be embodied in other specific forms without departing from the spirit and scope of the invention, and the scope of the invention is not limited by the scope of the invention.
1‧‧‧光源1‧‧‧Light source
2‧‧‧第1偏光檢測部2‧‧‧1st Polarization Detection Department
3‧‧‧法拉第轉動器3‧‧‧Faraday rotator
4‧‧‧1/2波長板4‧‧‧1/2 wavelength plate
5‧‧‧反射鏡5‧‧‧Mirror
6‧‧‧BDP6‧‧‧BDP
7‧‧‧光彈性調變器7‧‧‧Photoelastic modulator
8‧‧‧水晶8‧‧‧Crystal
9、19‧‧‧物鏡9, 19‧‧‧ objective lens
10‧‧‧可動台10‧‧‧ movable platform
11‧‧‧放置台11‧‧‧Place table
12‧‧‧第1非偏光分光器12‧‧‧1st non-polarizing beam splitter
14、17、21‧‧‧透鏡14, 17, 21‧ ‧ lens
15、22‧‧‧針孔15, 22‧‧‧ pinhole
16、23‧‧‧板狀物16, 23‧‧‧ plate
18‧‧‧繞射光柵18‧‧‧Diffraction grating
20‧‧‧第1線感測器20‧‧‧1st line sensor
24‧‧‧第2非偏光檢測部24‧‧‧2nd non-polarization detection department
25‧‧‧光二極體25‧‧‧Light diode
26‧‧‧平行度檢測部26‧‧‧Parallelism Detection Department
27‧‧‧控制單元27‧‧‧Control unit
28‧‧‧鎖定放大器28‧‧‧Locking amplifier
29‧‧‧計算處理部29‧‧‧Computation Processing Department
30‧‧‧驅動控制部30‧‧‧Drive Control Department
31‧‧‧操作部31‧‧‧Operation Department
32‧‧‧致動器32‧‧‧Actuator
W‧‧‧測定對象物W‧‧‧Measurement object
W1、W2‧‧‧玻璃基板W1, W2‧‧‧ glass substrate
A‧‧‧第1偏光A‧‧‧1st polarized light
B‧‧‧第2偏光B‧‧‧2nd polarized light
H‧‧‧開口H‧‧‧ openings
雖然為了說明發明,而圖示現在認為適合的幾種形態,但是請理解並非是將本發明限定為所圖示之構造及對策者。In order to illustrate the invention, several forms that are presently considered suitable are illustrated, but it is understood that the invention is not limited to the illustrated structure and measures.
第1圖係表示實現第1實施例之光彈性測定方法的裝置之示意構造圖。Fig. 1 is a schematic structural view showing an apparatus for realizing the photoelastic measurement method of the first embodiment.
第2圖係表示平行度檢測部之偏光的感光狀態之平面圖。Fig. 2 is a plan view showing a state of lightness of polarization of the parallelism detecting portion.
第3圖係表示測量主應力的差和其方向之一輪的處理及動作之方塊圖。Figure 3 is a block diagram showing the measurement of the difference in principal stress and the processing and action of one of its directions.
第4圖係表示在測定對象物的各焦點面所反射之反射光的狀態圖。Fig. 4 is a view showing a state of reflected light reflected by each focal plane of the measurement object.
第5圖係表示第1偏光之光強度的檢測狀態圖。Fig. 5 is a view showing a state of detection of the light intensity of the first polarized light.
第6圖係將第1線感測器所檢測之光譜信號轉換表示的圖。Fig. 6 is a diagram showing a conversion of a spectral signal detected by a first line sensor.
第7圖係表示從測量結果所求得之雙折射的變化量之相位圖。Fig. 7 is a phase diagram showing the amount of change in birefringence obtained from the measurement results.
第8圖係表示壓縮力作用於本實施之測定對象物的狀態圖。Fig. 8 is a view showing a state in which a compressive force acts on the object to be measured of the present embodiment.
第9圖係表示變形例裝置之構造圖。Fig. 9 is a structural view showing a modification device.
第10圖係表示求主應力之方向的模式圖。Fig. 10 is a schematic view showing the direction of the principal stress.
1‧‧‧光源1‧‧‧Light source
2‧‧‧第1偏光檢測部2‧‧‧1st Polarization Detection Department
3‧‧‧法拉第轉動器3‧‧‧Faraday rotator
4‧‧‧1/2波長板4‧‧‧1/2 wavelength plate
5‧‧‧反射鏡5‧‧‧Mirror
6‧‧‧BDP6‧‧‧BDP
7‧‧‧光彈性調變器7‧‧‧Photoelastic modulator
8‧‧‧水晶8‧‧‧Crystal
9、19‧‧‧物鏡9, 19‧‧‧ objective lens
10‧‧‧可動台10‧‧‧ movable platform
11‧‧‧放置台11‧‧‧Place table
12‧‧‧第1偏光分光器12‧‧‧1st polarizing beam splitter
14、17、21‧‧‧透鏡14, 17, 21‧ ‧ lens
15、22‧‧‧針孔15, 22‧‧‧ pinhole
16、23‧‧‧板狀物16, 23‧‧‧ plate
18‧‧‧繞射光柵18‧‧‧Diffraction grating
20‧‧‧第1線感測器20‧‧‧1st line sensor
24‧‧‧第2非偏光檢測部24‧‧‧2nd non-polarization detection department
25‧‧‧光二極體25‧‧‧Light diode
26‧‧‧平行度檢測部26‧‧‧Parallelism Detection Department
27‧‧‧控制單元27‧‧‧Control unit
28‧‧‧鎖定放大器28‧‧‧Locking amplifier
29‧‧‧計算處理部29‧‧‧Computation Processing Department
30‧‧‧驅動控制部30‧‧‧Drive Control Department
31‧‧‧操作部31‧‧‧Operation Department
32‧‧‧致動器、修正信號、檢測信號(I λ 0x、I λ 1x、I λ 2x)32‧‧‧Actuator, correction signal, detection signal (I λ 0x, I λ 1x, I λ 2x)
W‧‧‧測定對象物W‧‧‧Measurement object
W1、W2‧‧‧玻璃基板W1, W2‧‧‧ glass substrate
H‧‧‧開口H‧‧‧ openings
A‧‧‧第1偏光A‧‧‧1st polarized light
B‧‧‧第2偏光B‧‧‧2nd polarized light
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