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TWI871125B - Shearing interference measurement method and shearing interference measurement device - Google Patents

Shearing interference measurement method and shearing interference measurement device Download PDF

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TWI871125B
TWI871125B TW112147383A TW112147383A TWI871125B TW I871125 B TWI871125 B TW I871125B TW 112147383 A TW112147383 A TW 112147383A TW 112147383 A TW112147383 A TW 112147383A TW I871125 B TWI871125 B TW I871125B
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shearing
aforementioned
interference
aberration
apertures
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TW202445088A (en
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天谷賢治
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日商卡馳諾光電系統股份有限公司
天谷賢治
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M11/00Testing of optical apparatus; Testing structures by optical methods not otherwise provided for
    • G01M11/02Testing optical properties
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B9/00Measuring instruments characterised by the use of optical techniques
    • G01B9/02Interferometers
    • G01B9/02015Interferometers characterised by the beam path configuration
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B9/00Measuring instruments characterised by the use of optical techniques
    • G01B9/02Interferometers
    • G01B9/02055Reduction or prevention of errors; Testing; Calibration
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B9/00Measuring instruments characterised by the use of optical techniques
    • G01B9/02Interferometers
    • G01B9/02097Self-interferometers
    • G01B9/02098Shearing interferometers

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Abstract

[課題]為了有效率地量測光學元件的像差,在剪切干涉的測定時,能夠使從前進行複數次的干涉波面的量測以一次的量測進行。 [解決手段]於在光源與量測對象透鏡之間進行光束的分波,將分波後的光束照射至量測對象透鏡使其干涉的剪切干涉計中,藉由配置於光源與量測對象透鏡之間的孔隙板進行分波;在孔隙板,設置不在一直線上的3個以上的孔隙。 [Topic] In order to efficiently measure the aberration of optical elements, the interference wavefront measurement that was previously performed multiple times can be performed once during the shearing interferometer measurement. [Solution] In a shearing interferometer that splits a beam between a light source and a measurement object lens and irradiates the split beam to the measurement object lens to cause interference, the split beam is split by an aperture plate disposed between the light source and the measurement object lens; the aperture plate is provided with three or more apertures that are not in a straight line.

Description

剪切干涉測定方法及剪切干涉測定裝置Shearing interference measurement method and shearing interference measurement device

本發明係有關於剪切干涉測定方法及剪切干涉測定裝置。更詳細為關於藉由將來自光源的光束以3個以上的孔隙分波照射至量測對象透鏡,能夠一次得到包含2方向以上的資訊的剪切干涉點圖案的剪切干涉測定方法、及剪切干涉測定裝置。The present invention relates to a shearing interferometer measurement method and a shearing interferometer measurement device. More specifically, the present invention relates to a shearing interferometer measurement method and a shearing interferometer measurement device that can obtain a shearing interferometer point pattern containing information in two or more directions at one time by irradiating a light beam from a light source with three or more apertures to a measurement object lens.

現在,用於智慧手機或攝影機等的光學元件的微細化與高精度化持續進展。Currently, the miniaturization and high-precision of optical components used in smartphones and cameras continue to advance.

因此,有效率且高精度量測該等透鏡及反射鏡等的光學元件的像差(光照射至其等時的來自光學元件的波面形狀)的要求提高。Therefore, there is an increasing demand for efficient and high-precision measurement of aberrations (wavefront shapes from optical elements when light is irradiated thereon) of optical elements such as lenses and mirrors.

從前,作為這種像差的量測方法,例如使用夏克-哈特曼感測器(Shack-Hartmann sensor)及干涉計等。Conventionally, such aberrations have been measured using, for example, a Shack-Hartmann sensor or an interferometer.

例如,夏克-哈特曼感測器,如同特開2013-246016號公報(專利文獻1)記載那樣,解析通過微透鏡陣列的輸出光的像得到像差。For example, the Shack-Hartmann sensor, as described in Japanese Unexamined Patent Application Publication No. 2013-246016 (Patent Document 1), analyzes the image of output light that has passed through a microlens array to obtain aberrations.

又,干涉計,例如具有如特表2011-504234號公報(專利文獻2)記載那種,邁克生干涉計及斐索干涉計(Fizeau interferometer)、或如特開2005-183415號公報(專利文獻3)記載那種剪切干涉計等。The interferometer includes, for example, a Michaelson interferometer and a Fizeau interferometer as described in JP-A-2011-504234 (Patent Document 2), or a shearing interferometer as described in JP-A-2005-183415 (Patent Document 3).

其中,邁克生干涉計,以束分光鏡將光束分割為2,並使2光束再度結合進行干涉。又,斐索干涉計中,入射的雷射射束通過發散透鏡、束分光鏡、準直透鏡後成為平行光,到達高精度的基準板(平面玻璃板)。Among them, the McArthur interferometer uses a beam splitter to split the light beam into two, and then recombines the two beams to interfere. In the Fizeau interferometer, the incident laser beam passes through a diverging lens, a beam splitter, and a collimating lens to become parallel light and reach a high-precision reference plate (flat glass plate).

又,干涉計之中,剪切干涉計,使用振幅分割元件(束分光鏡、光學板、繞射格子等)分割一個波面,相同波面形狀,作成光軸在垂直方向偏離的平行的2個(一般為複數)光束,從使該2個光束透過被檢體後干涉而成的紋資訊,求出原本的光束的波面形狀。Among interferometers, a shearing interferometer uses an amplitude splitting element (beam splitter, optical plate, diffraction grating, etc.) to split a wavefront, with the same wavefront shape, to create two (generally multiple) parallel light beams whose optical axes are offset in the vertical direction. The wavefront shape of the original light beam is determined from the fringe information formed by the interference of the two light beams after passing through the specimen.

接著,剪切干涉計中,也有採用在透過被檢體後將光束分割進行干涉的方法者。 [先前技術文獻] [專利文獻] Next, in shearing interferometers, there are also methods that use a method of splitting the light beam after passing through the object to be tested and interfering. [Prior art literature] [Patent literature]

[專利文獻1]特開2013-246016號公報 [專利文獻2]特表2011-504234號公報 [專利文獻3]特開2005-183415號公報 [非專利文獻] [Patent Document 1] Japanese Patent Publication No. 2013-246016 [Patent Document 2] Japanese Patent Publication No. 2011-504234 [Patent Document 3] Japanese Patent Publication No. 2005-183415 [Non-patent Document]

[非專利文獻1]F. Ricci, W. Loffler, and M.P. van Exter:Instability of higher-order optical vortices analyzed with a multi-pinhole interferometer, 24 September 2012/ Vol. 20, No. 20/OPTICS EXPRESS 22961 [非專利文獻2]Samuel A. Eastwood, Alexis I. Bishop, Timothy C. Petersen, David M. Paganin, and Michael J. Morgan:Phase measurement using an optical vortex lattice produced with a three-beam interferometer, 18 June 2012/Vol. 20, No. 13/OPTICS EXPRESS 13947 [非專利文獻3]J. H. Brunning et al.: Digital wavefront measuring interferometer for testing optical surfaces and lenses, Appl. Opt., 13, 2693/2703 (1974). [非專利文獻4]加藤純一:實時間干涉紋解析與其應用,精密工學會誌,64(9), 1289/1293 (1998). [非專利文獻5]M. Takeda, H. Ina, and S. Kobayashi: Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry, J. Opt. Soc. Am., 72, 156/160 (1982). [非專利文獻6]S. Toyooka and M. Tominaga: Spatial fringe scanning for optical phase measurement, Opt. Commun. , 51, 68/70 (1984). [非專利文獻7]K. H. Womack: Interferometric phase measurement using spatial synchronous detection, Opt. Eng., 23, 391/395 (1984). [非專利文獻8]J. Kato et al.: Video-rate fringe analyzer based on phase-shifting electronic moire patterns, Appl. Opt., 36, 8403/8412 (1997). [非專利文獻9]M. Sugiyama, H. Ogawa, K. Kitagawa and K. Suzuki: Single-shot surface profiling by local model fitting, Appl. Opt., 45, 7999/8005 (2006). [非專利文獻10]杉山将,松坂拓哉,小川英光,北川克一,鈴木一嘉:具有急陡的段差的表面的一次性形狀量測法,精密工學會 2007 年度春季大會學術講演會演講論文集, 585/586 (2007). [非專利文獻11]Fengzhao Dai, Feng Tang, Xiangzhao Wang, Osami Sasaki, and Peng Feng, "Modal wavefront reconstruction based on Zernike polynomials for lateral shearing interferometry: comparisons of existing algorithms, " Appl. Opt. 51, 5028-5037 (2012) [Non-patent document 1] F. Ricci, W. Loffler, and M.P. van Exter: Instability of higher-order optical vortices analyzed with a multi-pinhole interferometer, 24 September 2012/ Vol. 20, No. 20/OPTICS EXPRESS 22961 [Non-patent document 2] Samuel A. Eastwood, Alexis I. Bishop, Timothy C. Petersen, David M. Paganin, and Michael J. Morgan: Phase measurement using an optical vortex lattice produced with a three-beam interferometer, 18 June 2012/Vol. 20, No. 13/OPTICS EXPRESS 13947 [Non-patent document 3] J. H. Brunning et al.: Digital wavefront measuring interferometer for testing optical surfaces and lenses, Appl. Opt., 13, 2693/2703 (1974). [Non-patent document 4] Junichi Kato: Real-time interference pattern analysis and its application, Journal of the Society for Precision Engineering, 64(9), 1289/1293 (1998). [Non-patent document 5] M. Takeda, H. Ina, and S. Kobayashi: Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry, J. Opt. Soc. Am., 72, 156/160 (1982). [Non-patent document 6] S. Toyooka and M. Tominaga: Spatial fringe scanning for optical phase measurement, Opt. Commun. , 51, 68/70 (1984). [Non-patent document 7] K. H. Womack: Interferometric phase measurement using spatial synchronous detection, Opt. Eng., 23, 391/395 (1984). [Non-patent document 8] J. Kato et al.: Video-rate fringe analyzer based on phase-shifting electronic moire patterns, Appl. Opt., 36, 8403/8412 (1997). [Non-patent document 9] M. Sugiyama, H. Ogawa, K. Kitagawa and K. Suzuki: Single-shot surface profiling by local model fitting, Appl. Opt., 45, 7999/8005 (2006). [Non-patent document 10] Masaru Sugiyama, Takuya Matsuzaka, Eimitsu Ogawa, Katsuichi Kitagawa, Kazuyoshi Suzuki: One-shot shape measurement method for surfaces with steep step differences, Proceedings of the 2007 Spring Meeting of the Society for Precision Engineering, 585/586 (2007). [Non-patent document 11] Fengzhao Dai, Feng Tang, Xiangzhao Wang, Osami Sasaki, and Peng Feng, "Modal wavefront reconstruction based on Zernike polynomials for lateral shearing interferometry: comparisons of existing algorithms," Appl. Opt. 51, 5028-5037 (2012)

[發明所欲解決的問題][The problem the invention is trying to solve]

不過,上述裝置中,如同接下來,在精度、調整的非效率性、裝置的成本等存在課題。However, the above device has problems such as accuracy, inefficiency of adjustment, and cost of the device, as will be discussed later.

例如,夏克-哈特曼感測器中,因為觀測透鏡陣列自身的像差重疊的光,透鏡陣列的精度會直接對量測精度造成影響。接著,一般市售裝置的像差的測定精度為30mλ~100mλ左右。For example, in a Shack-Hartmann sensor, since the light is observed with the aberration of the lens array itself, the accuracy of the lens array directly affects the measurement accuracy. The aberration measurement accuracy of general commercial devices is about 30mλ to 100mλ.

又,干涉計中,一般存在從前的干涉計為了得到參照光需要複雜的光學系統的課題。Furthermore, conventional interferometers generally have the problem of requiring a complicated optical system in order to obtain reference light.

再來,從前的剪切干涉計的情形,原則上雖量測從「平面波或球面波」的偏差,但像差大的非平面波因為反射光未返回而有無法量測的課題,與上述其他干涉計一樣,會有反射鏡、束分光鏡等的光學元件的像差也重疊的課題。In the case of conventional shearing interferometers, although the deviation from a "plane wave or spherical wave" is measured in principle, there is a problem that non-plane waves with large aberrations cannot be measured because the reflected light does not return. As with the other interferometers mentioned above, there is also the problem of overlapping aberrations of optical elements such as mirrors and beam splitters.

又,剪切干涉計中,觀測到分離成2個的波面之差即剪切像差。因此,為了得到2個波面的原來的波面(原始波面),就剪切方向(分離成2個的光的偏差方向)需要至少觀測2方向以上進行解析。In the shearing interferometer, the difference between the two wavefronts, i.e., the shear aberration, is observed. Therefore, in order to obtain the original wavefront of the two wavefronts (original wavefront), it is necessary to observe and analyze the shear direction (the deviation direction of the light split into two) in at least two directions.

但是,在這種複數剪切方向的干涉波面的觀測中,因為在每次觀測都會因裝置的微小振動或光學元件的光軸調整的變化在觀測量產生誤差,會有高精度的量測困難的課題。However, in the observation of such interference wavefronts in multiple shear directions, errors occur in the observed quantity due to minute vibrations of the device or changes in the optical axis adjustment of the optical element at each observation, making high-precision measurement difficult.

因此,本發明為了解決上述課題而完成者,目的為提供為了有效率地量測光學元件的像差,進行剪切干涉的測定時,從前複數次進行的干涉波面的量測能夠以一次量測進行的剪切干涉測定方法及剪切干涉測定裝置。 [解決問題的手段] Therefore, the present invention is completed to solve the above-mentioned problem, and its purpose is to provide a shearing interferometry measurement method and a shearing interferometry measurement device that can perform a single measurement of interference wavefronts that were previously performed multiple times in order to efficiently measure the aberration of an optical element. [Means for solving the problem]

為了解決上述課題的本發明提供一種剪切干涉測定方法,於在光源與量測對象物之間進行光束的分波,將前述分波後的光束照射至前述量測對象物使其干涉的剪切干涉計中,藉由配置於前述光源與前述量測對象物之間的孔隙板進行前述分波;在前述孔隙板,設置不在一直線上的3個以上的孔隙。In order to solve the above-mentioned problem, the present invention provides a shearing interference measurement method, in which a light beam is split between a light source and a measurement object, and the split light beam is irradiated onto the measurement object to cause interference in a shearing interferometer, and the splitting is performed by an aperture plate arranged between the light source and the measurement object; in the aperture plate, three or more apertures that are not in a straight line are set.

又,上述課題的解決藉由以下更有效地達成。前述孔隙板,具有相對於朝向前述量測對象物側的前述量測對象物的開口數及前述光源的波長具有空間濾波器的效果的孔隙的直徑。或者,藉由使來自前述光源的光學系統離焦形成集光面,使得前述3個以上的孔隙收於前述集光面上,將來自前述孔隙板的輸出光的照度均等提高。或者,前述孔隙板由厚度200μm以下的金屬薄膜形成,前述孔隙的間隔w在10μm以上到500μm以下之間,前述孔隙的直徑d為10μm以下。或者,前述孔隙為設於假想的正三角形的各頂點的3個,前述孔隙的間隔w,在將光源的波長設為λ,輸出光的開口數設為NA out,沿著作為攝像裝置的影像感測器取得的剪切干涉點圖案的觀測畫面得到的圓形的直徑的點數設為n時,設為式2的大小: 式2  w=nλ/NA out(20<n<200)。 Furthermore, the above-mentioned problem can be solved more effectively by the following method. The aperture plate has a diameter of apertures having the effect of a spatial filter relative to the number of openings of the measurement object facing the measurement object side and the wavelength of the light source. Alternatively, by defocusing the optical system from the light source to form a light-collecting surface, the above-mentioned three or more apertures are collected on the above-mentioned light-collecting surface, thereby evenly improving the illumination of the output light from the aperture plate. Alternatively, the aperture plate is formed of a metal film with a thickness of less than 200 μm, the interval w of the apertures is between more than 10 μm and less than 500 μm, and the diameter d of the apertures is less than 10 μm. Alternatively, the aforementioned apertures are three and are arranged at the vertices of an imaginary equilateral triangle, and the interval w of the aforementioned apertures, when the wavelength of the light source is set to λ, the number of openings of the output light is set to NA out , and the number of points of the diameter of the circle obtained along the observation screen of the shearing interference point pattern obtained by the image sensor serving as the imaging device is set to n, is set to the size of Formula 2: Formula 2 w=nλ/NA out (20<n<200).

又,上述課題的解決藉由以下更有效地達成。就由前述干涉取得到的剪切干涉點圖案影像的位置(x,y)中的影像強度f(x,y),進行演算處理,分離成構成前述3個以上的孔隙的2個孔隙的組合所致的單方向的獨立的剪切干涉紋成份。或者,前述演算處理為2維傅立葉轉換、形態學演算所致的分離法、影像的單方向縮小與模糊處理所致的分離法、或曲線擬合所致的方法的任一者。或者,前述演算處理為2維傅立葉轉換,由式4求出前述分離後的光譜分佈: 式4  G(X,Y)=DFT[f(x,y)]。 Furthermore, the above-mentioned problem is solved more effectively by the following. The image intensity f(x,y) at the position (x,y) of the shearing interference point pattern image obtained by the above-mentioned interference is subjected to calculation processing to separate the unidirectional independent shearing interference pattern components caused by the combination of two pores constituting the above-mentioned three or more pores. Alternatively, the above-mentioned calculation processing is any one of the methods of 2D Fourier transform, morphological calculation, unidirectional image reduction and blurring, or curve fitting. Alternatively, the above-mentioned calculation processing is 2D Fourier transform, and the spectral distribution after the above-mentioned separation is obtained by formula 4: Formula 4  G(X,Y)=DFT[f(x,y)].

又,上述課題的解決藉由以下更有效地達成。基於前述單方向的獨立的剪切干涉紋成份,進行演算處理,算出各方向的複數抽出光譜的分佈。或者,抽出前述分離後的光譜G(X,Y)分佈的一部分時,由式5算出各方向的抽出複數光譜的分佈: 式5 Furthermore, the above problem can be solved more effectively by the following method. Based on the above-mentioned independent shearing interference pattern components in a single direction, calculation processing is performed to calculate the distribution of the complex extracted spectrum in each direction. Alternatively, when a part of the distribution of the spectrum G(X,Y) after the above-mentioned separation is extracted, the distribution of the extracted complex spectrum in each direction is calculated by formula 5: Formula 5 .

又,上述課題的解決藉由以下更有效地達成。為了解析剪切像差分佈,藉由演算處理,基於前述各方向的抽出複數光譜計算像差分佈。或者,前述演算處理為相位轉換法、傅立葉轉換法、空間相位同步法、及局部模型擬合法的任一者。或者,由式6計算前述像差分佈: 式6 Furthermore, the above problem can be solved more effectively by the following method. In order to analyze the shear aberration distribution, the aberration distribution is calculated based on the extracted complex spectra in each direction by calculation. Alternatively, the calculation is any one of the phase conversion method, Fourier conversion method, spatial phase synchronization method, and local model fitting method. Alternatively, the aberration distribution is calculated by equation 6: .

又,上述課題的解決藉由以下更有效地達成。將由前述式6得到的像差分佈φ i(x,y)以有限的澤尼克(Zernike)係數展開,將該係數作為向量的像差量的指標。或者,從由前述指標取得的剪切像差的澤尼克係數(剪切像差係數),由式8同時求出來自3個孔隙的光所致的剪切量與原始像差係數: 式8 Furthermore, the above problem can be solved more effectively by the following method. The aberration distribution φ i (x, y) obtained by the above formula 6 is expanded with a finite Zernike coefficient, and the coefficient is used as an index of the aberration amount of the vector. Alternatively, the shear amount caused by the light from the three apertures and the original aberration coefficient are simultaneously calculated from the Zernike coefficient of the shear aberration obtained by the above index (shear aberration coefficient) by formula 8: Formula 8 .

又,上述課題的解決藉由以下更有效地達成。基於由前述指標取得的剪切像差係數,基於式9的關係,計算相對於來自3個孔隙的光的射出波面的像差係數(原始像差係數): 式9 Furthermore, the above problem can be solved more effectively by the following method. Based on the shear aberration coefficient obtained by the above index, the aberration coefficient (original aberration coefficient) with respect to the outgoing wavefront of the light from the three apertures is calculated based on the relationship of Formula 9: Formula 9 .

又,上述課題的解決藉由以下更有效地達成。基於由前述干涉量測的剪切像差係數或原始像差係數,判斷前述量測對象物的光軸有無從光軸中心及前述孔隙板的垂直軸傾斜,調整前述量測對象物的位置與姿勢。Furthermore, the above-mentioned problem is solved more effectively by: Based on the shear aberration coefficient or the original aberration coefficient measured by the above-mentioned interference, it is determined whether the optical axis of the above-mentioned measurement object is tilted from the center of the optical axis and the vertical axis of the above-mentioned aperture plate, and the position and posture of the above-mentioned measurement object are adjusted.

為了解決上述課題的本發明提供一種剪切干涉測定裝置,係於在光源與量測對象透鏡之間進行光束的分波,將前述分波後的光束照射至前述量測對象透鏡使其干涉的剪切干涉計中,藉由配置於前述光源與前述量測對象透鏡之間的孔隙板進行前述分波;在前述孔隙板,設置不在一直線上的3個以上的孔隙。In order to solve the above-mentioned problem, the present invention provides a shearing interference measurement device, which is a shearing interferometer that performs wave splitting of a light beam between a light source and a measurement object lens, and irradiates the aforementioned wave split light beam to the aforementioned measurement object lens to cause interference. The aforementioned wave splitting is performed by an aperture plate arranged between the aforementioned light source and the aforementioned measurement object lens; in the aforementioned aperture plate, more than three apertures that are not in a straight line are set.

又,上述課題的解決藉由以下更有效地達成。前述孔隙板,具有相對於朝向前述量測對象物側的前述量測對象物的開口數及前述光源的波長具有空間濾波器的效果的孔隙的直徑。或者,藉由使來自前述光源的光學系統離焦形成集光面,使得前述3個以上的孔隙收於前述集光面上,將來自前述孔隙板的輸出光的照度均等提高。或者,前述孔隙板由厚度200μm以下的金屬薄膜形成,前述孔隙的間隔w在10μm以上到500μm以下之間,前述孔隙的直徑d為10μm以下。或者,前述孔隙的直徑d,在將對從前述孔隙板向前述測定對象物的前述測定對象物而言的入射開口數設為NA in時, 設為式1的大小: 式1  d[μm]=αλ/ Furthermore, the above-mentioned problem can be solved more effectively by the following method. The aperture plate has a diameter of apertures having the effect of a spatial filter relative to the number of openings of the measurement object facing the measurement object side and the wavelength of the light source. Alternatively, by defocusing the optical system from the light source to form a light-collecting surface, the above-mentioned three or more apertures are collected on the above-mentioned light-collecting surface, thereby evenly improving the illumination of the output light from the aperture plate. Alternatively, the aperture plate is formed of a metal film with a thickness of less than 200 μm, the interval w of the apertures is between more than 10 μm and less than 500 μm, and the diameter d of the apertures is less than 10 μm. Alternatively, the diameter d of the aperture is set to the magnitude of Formula 1 when the number of incident openings from the aperture plate to the measurement object is set to NA in : Formula 1 d[μm]=αλ/ .

又,上述課題的解決藉由以下更有效地達成。前述孔隙為設於假想的正三角形的各頂點的3個,前述孔隙的間隔w,在將光源的波長設為λ,輸出光的開口數設為NA out,攝像裝置的影像感測器取得的影像的紋的條數(作為剪切干涉點圖案的觀測畫面得到的圓形的直徑上的點數)設為n時,設為式2的大小: 式2  w=nλ/NA out(50<n<100)。 Furthermore, the above-mentioned problem can be solved more effectively as follows. The aforementioned apertures are three in number and are provided at the vertices of an imaginary equilateral triangle. The interval w of the aforementioned apertures is set to be the size of Formula 2 when the wavelength of the light source is set to λ, the number of apertures of the output light is set to NA out , and the number of lines of the image obtained by the image sensor of the camera device (the number of points on the diameter of the circle obtained as the observation screen of the shearing interference point pattern) is set to n: Formula 2 w=nλ/NA out (50<n<100).

又,上述課題的解決藉由以下更有效地達成。就由前述干涉取得到的剪切干涉點圖案影像的位置(x,y)中的影像強度f(x,y),進行演算處理,分離成構成前述3個以上的孔隙的2個孔隙的組合所致的單方向的獨立的剪切干涉紋成份。或者,基於前述單方向的獨立的剪切干涉紋成份,進行演算處理,算出各方向的複數抽出光譜的分佈。或者,基於由前述干涉量測的剪切像差係數或原始像差係數,判斷前述量測對象物的光軸有無從光軸中心及前述孔隙板的垂直軸傾斜,調整前述量測對象物的位置與姿勢。或者,前述孔隙,設於假想的正三角形的各頂點、假想的直角三角形的各頂點、或假想的正三角形的各頂點的任一者。 [發明的效果] Furthermore, the above-mentioned problem can be solved more effectively by the following method. The image intensity f(x, y) at the position (x, y) of the shearing interference dot pattern image obtained by the aforementioned interference is subjected to calculation processing to separate the independent shearing interference fringe components in a single direction caused by the combination of two pores constituting the aforementioned three or more pores. Alternatively, calculation processing is performed based on the aforementioned independent shearing interference fringe components in a single direction to calculate the distribution of the complex extracted spectra in each direction. Alternatively, based on the shearing aberration coefficient or the original aberration coefficient measured by the aforementioned interference, it is determined whether the optical axis of the aforementioned measurement object is tilted from the center of the optical axis and the vertical axis of the aforementioned aperture plate, and the position and posture of the aforementioned measurement object are adjusted. Alternatively, the aforementioned pores are provided at the vertices of an imaginary equilateral triangle, the vertices of an imaginary right triangle, or any of the vertices of an imaginary equilateral triangle. [Effect of the invention]

根據具有上述構造的本發明,藉由將來自光源的光束以3個以上的孔隙進行分波照射至量測對象透鏡,能夠將多方向的剪切像差以一次攝影解析。因此,不需要在從前的剪切干涉法為必須的複數次觀測,能夠使因光學系統的振動及光軸調整等引起的誤差降低。According to the present invention having the above structure, by splitting the light beam from the light source into three or more apertures and irradiating the measurement object lens, multi-directional shear aberration can be analyzed with a single shot. Therefore, multiple observations required by the previous shearing interferometry method are not required, and errors caused by vibration of the optical system and optical axis adjustment can be reduced.

又,不需要從前的干涉計中為必要的成像系統或用以將波面變換成平面波的轉換透鏡等的新的光學系統。又,本發明中藉由設置剪切量鑑定步驟,干涉的2個波面的光軸即使不平行也能夠進行觀測。Furthermore, a new optical system such as an imaging system or a conversion lens for converting a wavefront into a plane wave, which is required in conventional interferometers, is not required. Furthermore, in the present invention, by providing a shear amount evaluation step, observation can be performed even if the optical axes of the two interfering wavefronts are not parallel.

因此,藉由本發明能夠以高精度、高效率(調整、解析而且高速)、低成本解析像差。Therefore, the present invention can analyze aberrations with high precision, high efficiency (adjustment, analysis and high speed), and low cost.

此外,「非專利文獻1」揭示的技術中,雖利用複數孔的孔隙嘗試渦光波的生成,但非如同本案發明,作為剪切干涉計提案複數孔孔隙板的利用者,在剪切干涉計中無法得到本案發明的效果。又,「非專利文獻2」揭示的技術中,為了波面的量測雖利用複數孔孔隙板,但配置於對象物的後段著目於渦波的性質量測波面者,並非如同本案發明,作為剪切干涉計提案複數孔孔隙板的利用者,又,雖因為光的光量為必要而適用孔隙的孔大小為大的條件,但非如同本案發明,使孔各者都具有後述空間濾波器的效果的利用,在剪切干涉計中無法得到本案發明的效果。In addition, in the technology disclosed in "Non-patent Document 1", although the generation of eddy waves is attempted by using a plurality of holes, it is not like the present invention, and the user of the plurality of holes aperture plate is proposed as a shearing interferometer, and the effect of the present invention cannot be obtained in the shearing interferometer. In addition, in the technology disclosed in "Non-patent Document 2", although the plurality of holes aperture plate is used for the measurement of the wavefront, it is arranged at the rear of the object and the wavefront is measured by focusing on the properties of the eddy waves, which is not like the present invention, and the user of the plurality of holes aperture plate is proposed as a shearing interferometer. Moreover, although the condition that the hole size is large is applied because the amount of light is necessary, it is not like the present invention, and the use of each hole to have the effect of the spatial filter described later is not used, and the effect of the present invention cannot be obtained in the shearing interferometer.

以下,關於本發明的剪切干涉測定方法及剪切干涉測定裝置,參照圖式並更具體說明。此外,以下圖式的一部分示出概要,關於細部為了容易理解也有省略的情形。Hereinafter, the shearing interference measurement method and the shearing interference measurement device of the present invention will be described in more detail with reference to the drawings. In addition, some of the following drawings show the outline, and some details are omitted for easy understanding.

本發明的剪切干涉測定裝置,例如具有具備圖1例示概要的硬體構造的光學系統,基於此實現獨自的剪切干涉測定方法。The shearing interferometry measuring device of the present invention has, for example, an optical system having a hardware structure schematically shown in FIG. 1 , and implements a unique shearing interferometry measuring method based thereon.

首先說明本發明的全體概要。First, the overall outline of the present invention is described.

本發明基本上利用剪切干涉法的原理。The present invention basically utilizes the principle of shearing interferometry.

本發明中將能夠無視像差的3個以上的球面波照射至測定對象物,解析因由此得到的3個以上的輸出光形成的干涉圖案量測像差。In the present invention, three or more spherical waves that are free of visual aberration are irradiated onto a measurement object, and interference patterns formed by the three or more output lights obtained thereby are analyzed to measure aberration.

無像差的3個球面波,例如對具有3孔的孔隙板照射雷射等光源使其產生。此時孔隙的直徑,以與量測對象透鏡的關係利用空間過濾器的見解決定,能夠得到能夠無視像差的球面波。此時為了得到能夠無視像差的球面波希望縮小孔隙的直徑但因為輸出光強度會減少,有將從光源照射至孔隙的光集光的必要。Three spherical waves without aberration are generated by irradiating a light source such as a laser to an aperture plate having three holes. At this time, the aperture diameter is determined by the relationship with the lens to be measured using the concept of spatial filters, and spherical waves without visual aberration can be obtained. At this time, in order to obtain spherical waves without visual aberration, it is desirable to reduce the aperture diameter, but since the output light intensity will decrease, it is necessary to collect the light irradiated from the light source to the aperture.

使形成於孔隙板的3個以上的孔不在一直線上,攝像部(例如影像感測器)中能夠得到2方向以上的剪切干涉圖案。一般干涉法所致的像差解析中雖利用干涉紋,但本發明中並非解析紋,而是解析包含多方向的資訊的剪切干涉點圖案。因此,本發明中,藉此能夠以一次觀測得到多方向的剪切像差。By making the three or more holes formed in the aperture plate not in a straight line, the imaging unit (e.g., image sensor) can obtain shearing interference patterns in two or more directions. Although interference fringes are used in the aberration analysis caused by general interferometry, the present invention does not analyze fringes, but analyzes shearing interference point patterns containing information in multiple directions. Therefore, the present invention can obtain shearing aberrations in multiple directions with one observation.

為了解析多方向的剪切像差,設置將剪切干涉點圖案分離成單方向的獨立的剪切干涉紋的步驟。In order to analyze multi-directional shear aberration, a step is provided to separate the shear interference dot pattern into independent shear interference fringes in a single direction.

分離成單方向的獨立的剪切干涉紋的步驟中,雖示出適用2維傅立葉轉換之例,但不限於此,後述未使用2維傅立葉轉換的方法也能夠進行分離。In the step of separating into unidirectional independent shearing interference fringes, an example of applying two-dimensional Fourier transform is shown, but the present invention is not limited to this, and the method described later without using two-dimensional Fourier transform can also perform separation.

接著,從單方向的剪切干涉紋利用空間傅立葉轉換法等得到剪切像差分佈。此外,剪切像差分佈為從3個輸出光波選出的2個光波的波面的組合彼此之差的分佈。本實施例中因為有3個輸出光波,剪切像差分佈相對於3個種類的組合存在。相對於剪切像差各別的輸出波面自身的像差稱為原始像差。原始像差及剪切像差成為具有長度的單位的瞳上的分佈。長度的單位的基準有設為波長λ的情形或設為微米、奈米的情形。又像差的基準一般設為相對於完全的平面波、球面波或光學系統的理想的設計值的差。Next, the shear aberration distribution is obtained from the shear interference pattern in one direction using the spatial Fourier transform method or the like. In addition, the shear aberration distribution is the distribution of the difference between the combinations of the wavefronts of two light waves selected from the three output light waves. In this embodiment, since there are three output light waves, the shear aberration distribution exists with respect to three types of combinations. The aberration of the output wavefront itself relative to the shear aberration is called the original aberration. The original aberration and the shear aberration become distributions on the pupil with units of length. The standard of the unit of length may be set to the wavelength λ or to micrometers or nanometers. The standard of the aberration is generally set to the difference relative to a perfect plane wave, a spherical wave or the ideal design value of the optical system.

又,光學領域中一般用以評價像差分佈澤尼克係數從像差分佈算出。In the field of optics, the Zenith coefficient, which is generally used to evaluate aberration distribution, is calculated from the aberration distribution.

從剪切像差分佈,例如再構成3個各自的輸出光的原始波面。From the shear aberration distribution, for example, the original wavefronts of the three respective output lights are reconstructed.

該步驟中剪切量(各光的光軸中心的偏差量)為必要。In this step, a shearing amount (amount of deviation of the optical axis center of each light) is necessary.

通常的剪切干涉法中從使剪切產生的板的厚度等的設計值的資訊的剪切量雖為已知,但本手法中因為能夠將任意的光學系統作為測定對象而為未知。In the conventional shearing interferometry method, the shearing amount is known from information on design values such as the thickness of the plate causing shearing, but in this method, it is unknown because any optical system can be used as a measurement object.

因此,本發明中,設置將該剪切量從剪切像差分佈鑑定的步驟。Therefore, in the present invention, a step of identifying the shear amount from the shear aberration distribution is provided.

接著,關於本發明的剪切干涉測定裝置的構造例參照圖1等說明。Next, a structural example of the shearing interference measuring device of the present invention will be described with reference to FIG. 1 and the like.

其中,圖1為表示本發明的剪切干涉測定裝置的硬體的構造例。FIG. 1 shows an example of the hardware structure of the shearing interference measuring device of the present invention.

本發明的裝置,基本上,如圖1所示,具有光源100、保持於第1載台110S的形成複數孔H(孔隙)的孔隙板(也有稱為光罩的情形)110、保持於第2載台130S的測定對象透鏡130、保持於第3載台150S的攝像裝置150、及連接至攝像裝置150的(圖未示)解析部170。Basically, as shown in FIG. 1 , the device of the present invention comprises a light source 100, an aperture plate (also referred to as a photomask) 110 formed with a plurality of holes H (apertures) and held on a first stage 110S, a measurement object lens 130 held on a second stage 130S, an imaging device 150 held on a third stage 150S, and an analyzing unit 170 (not shown) connected to the imaging device 150.

其中,光源100部分的構造雖沒有特別限定,但例如使用半導體雷射等單色光,來自光源100的光束集光至設於光罩110的孔隙。The structure of the light source 100 is not particularly limited. For example, monochromatic light such as semiconductor laser is used, and the light beam from the light source 100 is collected to the aperture provided in the mask 110 .

又,對設於光罩110的複數孔H,光束以充分的亮度均等照射,使在攝像裝置150產生的干涉影像的對比度提升較佳。In addition, the light beams are evenly irradiated with sufficient brightness to the plurality of holes H provided in the mask 110, so that the contrast of the interference image generated in the imaging device 150 is better improved.

因此,例如將包圍3個孔隙的外接圓的半徑為R3時,設定成R3≈αλ/NA o,則能夠實現有效的集光。 其中,NA o為從光源向孔隙板的光束的開口數,α為1~2的常數。 Therefore, for example, when the radius of the circumscribed circle surrounding the three apertures is R3, effective light collection can be achieved by setting R3≈αλ/NA o , where NA o is the number of openings of the light beam from the light source to the aperture plate, and α is a constant of 1 to 2.

又,若將孔隙板的位置完全設定在焦點面,則無孔的中心部的光強度會成為最大,浪費了最大部的光的能量。為了改善其,孔隙板如以下所示失焦,能夠有效率地對孔隙照射光。Furthermore, if the aperture plate is completely set at the focal plane, the light intensity at the center without holes will be the highest, wasting the energy of the largest part of the light. To improve this, the aperture plate is defocused as shown below, so that light can be efficiently irradiated to the holes.

因此,因應光源100的波長,能夠以複數孔H收於焦點的艾里斑內的方式設定、或以如圖2所示使來自光源100的光學系統失焦時形成的光強度高的區域的圓或楕圓的環照射至複數孔H(例如3孔)的方式設定。Therefore, depending on the wavelength of the light source 100, the multiple holes H can be set in a manner such that they are within the Airy disk of the focal point, or such that a circular or elliptical ring of a high light intensity area formed when the optical system from the light source 100 is defocused is irradiated to the multiple holes H (for example, 3 holes) as shown in FIG. 2 .

圖2為如上所述使來自光源100的光束一致於3個孔隙的位置集光之例的影像,示出藉由使來自光源100的光束的焦點位置偏離(失焦),如圖2(A)、圖2(B)、圖2(C)所示得到光罩面的照度之例。FIG2 is an image of an example of focusing the light beam from the light source 100 at the positions of the three apertures as described above, showing an example of obtaining the illumination of the light mask surface by deviating (defocusing) the focal position of the light beam from the light source 100 as shown in FIG2(A), FIG2(B), and FIG2(C).

因此,如圖2(B)所示,藉由使來自光源100的光學系統失焦,例如形成環狀的集光面,以3孔(圖中的A、B、C)收於該環上的方式,能夠使照至各孔的光束的照度均等(或充分接近均等的狀態)提高。Therefore, as shown in FIG2(B), by defocusing the optical system from the light source 100, for example, forming a ring-shaped light-collecting surface, and placing three holes (A, B, and C in the figure) on the ring, the illumination of the light beams reaching each hole can be made equal (or sufficiently close to being equal) and improved.

此外,進行這種失焦的情形,失焦得到的照射光,未必要完全形成環狀的強度分佈也可以,若是失焦光則未完成形成環狀區域,也能夠以某程度有效率地照射光。In addition, when defocusing is performed, the defocused irradiation light does not necessarily have to form a completely ring-shaped intensity distribution. If the defocused light does not completely form a ring-shaped area, it is still possible to irradiate the light efficiently to a certain extent.

又,此時,預先固定用以集光的光學系統的光源100與集光透鏡等的關係,根據載台1(第1載台110S)的調整,調整集光的位置也可以。Furthermore, at this time, the relationship between the light source 100 and the light-collecting lens of the optical system for collecting light may be fixed in advance, and the light-collecting position may be adjusted by adjusting the stage 1 (first stage 110S).

接著,光罩110為設置複數孔H(孔隙)的板(孔隙板)。Next, the photomask 110 is a plate (aperture plate) provided with a plurality of holes H (apertures).

一般的剪切干涉計中,為了分割光束的經路,設置繞射格子及束分光鏡等。In a general shearing interferometer, a diffraction grating and a beam splitter are provided to split the path of the light beam.

不過,本發明中,在從光源100到量測對象透鏡130的經路設置光罩110,進行光束的分割,藉由分割的光束的干涉,得到包含複數方向成份的資訊的剪切干涉點圖案。However, in the present invention, a mask 110 is disposed on the path from the light source 100 to the measurement object lens 130 to split the light beam, and a shearing interference point pattern containing information of multiple directional components is obtained through interference of the split light beams.

因此,孔隙H的配置,以能夠從剪切干涉點圖案,取出構成其的各方向的成份進行解析的方式,如圖3所示,將至少3孔以上的複數作為必要,其等有不在一直線上的必要。Therefore, the arrangement of the holes H should be such that components in various directions constituting the holes can be extracted from the shear interference point pattern and analyzed. As shown in FIG. 3 , the number of holes should be at least 3 or more, and they should not be in a straight line.

圖3為圖示複數孔孔隙H的概要者。圖3(A)為在假想的正三角形的各頂點(A、B、C)設置孔隙H之例。圖3(B)為在假想的直角三形的各頂點(D、E、F)設置孔隙H之例。圖3(C)為在假想的正三角形的各頂點(H、I、J)與其重心(G)設置孔隙H之例。FIG3 is a diagram showing the outline of multiple pores H. FIG3(A) is an example of providing pores H at the vertices (A, B, C) of an imaginary equilateral triangle. FIG3(B) is an example of providing pores H at the vertices (D, E, F) of an imaginary right triangle. FIG3(C) is an example of providing pores H at the vertices (H, I, J) of an imaginary equilateral triangle and its centroid (G).

例如,將孔隙H如圖3(A)那樣配置的情形中,形成孔A與孔B所致的干涉紋、孔B與孔C所致的干涉紋、孔A與孔C所致的干涉紋,例如以2個孔隙的關係來看,能夠觀察圖4(A)記載的那種2方向的光束的剪切偏移。其中圖4(A)為2方向偏移之例;圖4(B)為3方向偏移之例。同4圖中,RF2表示2方向偏移的情形的重複區域;RF3表示2方向偏移的情形的重複區域。本發明中,如圖4(B)或圖1(B)所示,合成在3方向偏移的光束,攝像裝置150中,在RF3的區域能夠得到剪切干涉點圖案。For example, when the aperture H is arranged as shown in FIG3(A), interference patterns are formed between the apertures A and B, interference patterns are formed between the apertures B and C, and interference patterns are formed between the apertures A and C. For example, from the relationship between the two apertures, the shearing deviation of the light beam in two directions as shown in FIG4(A) can be observed. FIG4(A) is an example of a two-direction deviation; FIG4(B) is an example of a three-direction deviation. In the same FIG4, RF2 represents the repeated area in the case of a two-direction deviation; RF3 represents the repeated area in the case of a two-direction deviation. In the present invention, as shown in FIG4(B) or FIG1(B), the light beams deflected in three directions are synthesized, and in the imaging device 150, a shearing interference point pattern can be obtained in the area of RF3.

這種複數孔隙的製作,例如如圖3(D)所示,能夠在玻璃板形成光阻(金屬蒸鍍膜(金屬膜))使用濺鍍等光微影技術形成。接著,如此在玻璃板上形成孔隙的情形,玻璃板側朝向光源100側配置。但是,不藉由使用這種玻璃板的蝕刻等,也能夠在金屬薄膜穿孔形成孔隙。Such a plurality of pores can be formed, for example, by forming a photoresist (metal evaporation film (metal film)) on a glass plate using a photolithography technique such as sputtering as shown in FIG3(D). Then, when the pores are formed on the glass plate in this way, the glass plate side is arranged toward the light source 100 side. However, it is also possible to form pores in a metal film by perforating without using such a glass plate by etching or the like.

金屬膜能夠利用金、鉻、銀、銅等。Metal films can utilize gold, chromium, silver, copper, etc.

金屬膜的厚度為0.1μm以上200μm以下較佳。藉由微光蝕刻技術作成孔隙的情形,金屬膜較薄則在濺鍍的成本、蝕刻處理的觀點中較佳,但若膜的厚度過低則光會透過,亦即有無法將光完全遮斷的問題。又厚度越大則難以將直徑1μm等級的孔正確形成。The thickness of the metal film is preferably 0.1 μm or more and 200 μm or less. When making pores by micro-photoetching technology, a thinner metal film is better from the perspective of sputtering cost and etching process. However, if the thickness of the film is too thin, light will pass through, that is, there is a problem that the light cannot be completely blocked. The thicker the film, the more difficult it is to accurately form a hole of the order of 1 μm in diameter.

將在玻璃板之上具有複數孔的金屬膜作為孔隙板利用的情形,為了防止玻璃的像差的混入而將玻璃板配置於光源側,將金屬膜配置於輸出光側,玻璃的像差以孔隙的空間濾波器的效果排除 。 又,這種複數孔的孔隙的口徑d[μm],基於清除波面的空間濾波器(空間頻率過濾器)的見解,如圖5(A)記載那樣,根據與從光罩配置於攝像裝置150側的量測對象透鏡130的關係,藉由次式1決定。(之後參照的「注A」) 式1:孔隙徑d=αλf/D=αλ/NA inWhen a metal film having multiple holes on a glass plate is used as an aperture plate, the glass plate is arranged on the light source side to prevent the aberration of the glass from being mixed in, and the metal film is arranged on the output light side, and the aberration of the glass is eliminated by the effect of the spatial filter of the aperture. In addition, the aperture diameter d [μm] of the aperture of such multiple holes is determined by the following formula 1 based on the view of a spatial filter (spatial frequency filter) that clears the wavefront, and is related to the measurement object lens 130 arranged on the side of the camera device 150 from the mask, as shown in FIG. 5 (A). (Refer to "Note A" below) Formula 1: Aperture diameter d = αλf/D = αλ/NA in .

式1中的記號,如圖5(A)所示,分別表示以下。 λ=雷射的振盪波長 (μm) f=與量測對象透鏡130的距離 (mm) D=量測對象透鏡130的直徑 (mm) α=1.0~2.0的常數,NA in為被測定物的入射側的開口數。 The symbols in Formula 1, as shown in FIG5(A), represent the following respectively: λ = oscillation wavelength of laser (μm) f = distance from the measurement object lens 130 (mm) D = diameter of the measurement object lens 130 (mm) α = a constant between 1.0 and 2.0, and NA in is the number of openings on the incident side of the object to be measured.

此外,開口數(NA),本發明的光學系統存在3個,如圖5(B)所示,將從光源向孔隙板的光束的開口數設為NA 0,在將對從孔隙板向測定對象物的測定對象物而言的入射開口數設為NA in,從測定對象物向攝影機(攝像裝置)的輸出光開口數NA outIn addition, regarding the aperture number (NA), the optical system of the present invention has three, as shown in FIG5(B), the aperture number of the light beam from the light source to the aperture plate is set to NA0 , the incident aperture number from the aperture plate to the measurement object is set to NAin , and the output light aperture number from the measurement object to the camera (imaging device) is NAout .

基於式1,一般的成像透鏡中NA in若為0.05~0.5左右,則關於d,0.5μm以上至50μm以下成為實用的範圍。 Based on Formula 1, if the NA in of a general imaging lens is about 0.05 to 0.5, then d is in the practical range of 0.5 μm or more and 50 μm or less.

其中,α為艾里環的直徑的情形成為1.27。接著,α若越小則能夠生成像差小的光,增大α則能夠增加光量。Here, α is the diameter of the Airy ring, which is 1.27. As α is smaller, light with less aberration can be generated, and as α is increased, the amount of light can be increased.

接著,具有這種口徑的孔隙相互間的距離,在攝像裝置150的影像感測器上以生成20~200條左右的紋(或合成的點圖案)的程度決定。因為20條以下解析度降底,200條以上解析計算需要時間。Next, the distance between the apertures of this diameter is determined by the degree to which 20 to 200 lines (or synthetic dot patterns) are generated on the image sensor of the imaging device 150. The resolution is reduced if there are less than 20 lines, and it takes time to analyze and calculate if there are more than 200 lines.

因此,例如,將光源100的波長設為λ,輸出光的開口數設為NA out,孔與孔的間隔設為w,紋數(或沿著作為剪切干涉點圖案得到的圓形的影像的直徑的點之數)n以次式2表示。 式2 Therefore, for example, assuming that the wavelength of the light source 100 is λ, the number of apertures for output light is NA out , and the interval between the apertures is w, the number of lines (or the number of points along the diameter of the circular image obtained as a shearing interference point pattern) n is expressed by the following formula 2. Formula 2

例如,將紋數設為50,NA out=0.1,波長0.66μm的情形,孔與孔的間隔成為次式。 w= =50*0.66/0.1=330 For example, when the number of lines is set to 50, NA out = 0.1, and the wavelength is 0.66μm, the interval between holes becomes the secondary formula. =50*0.66/0.1=330

相對於智慧手機用攝影機透鏡等一般的光學系統,孔與孔的間隔選擇從10μm以上至500μm以下左右,得到適合的紋數。 此外,輸出光的開口數NA out為從影像感測器上的像看到的焦距與影像感測器上的瞳的像的半徑之比。 Compared with general optical systems such as smartphone camera lenses, the interval between holes is selected from 10μm to 500μm to obtain an appropriate number of lines. In addition, the aperture number NA out of the output light is the ratio of the focal length seen from the image on the image sensor to the radius of the pupil image on the image sensor.

又,如此,設置複數孔H的光罩110,藉由第1載台110S保持,藉由該第1載台110S進行位置與姿勢的控制。In this way, the photomask 110 provided with the plurality of holes H is held by the first stage 110S, and the position and posture of the photomask 110 are controlled by the first stage 110S.

亦即,第1載台110S,與後述第2載台、第3載台基本上由一樣的構造形成,例如,位置與姿勢的調整能夠使用測角載台。That is, the first stage 110S is basically formed of the same structure as the second stage and the third stage described later, and for example, the position and posture can be adjusted using an angle measuring stage.

接著,該測角載台為具有6軸自由度的支持台,在預定的範圍內,能夠進行x、y、z的各軸的正/負方向的移動、與各軸的順時鐘方向及逆時鐘方向的轉動(傾斜調整)。Next, the angle measuring stage is a support stage with 6-axis degrees of freedom, which can move in the positive/negative direction of each axis of x, y, and z, and rotate in the clockwise and counterclockwise directions of each axis (tilt adjustment) within a predetermined range.

又,該等第1至第3的載台的調整,觀察以攝像裝置150的攝像部155取得到的影像、及解析後的影像等同時以手動進行操作也可以,例如如圖6所示,連接至與攝像裝置150及解析部170連接的控制裝置165,基於連接至控制裝置165的顯示裝置160的影像,藉由控制裝置165調整也可以。Furthermore, the adjustment of the first to third stages may be performed manually while observing the image obtained by the imaging unit 155 of the imaging device 150 and the analyzed image. For example, as shown in FIG. 6 , the control device 165 connected to the imaging device 150 and the analyzing unit 170 may be used to perform adjustments based on the image of the display device 160 connected to the control device 165.

其中,圖6為表示包含本發明的測定裝置的解析部170的區塊圖。本發明中,如圖6以實線所示,將攝像裝置150取得到的影像以控制裝置165的解析部170處理,將解析部170處理後的資料以顯示裝置160輸出,將該等全體控制以控制裝置165進行。因此,使用者能夠觀察顯示裝置160的輸出影像同時將各載台的調整及構成以手動進行。Among them, FIG6 is a block diagram showing an analysis unit 170 of the measuring device of the present invention. In the present invention, as shown by the solid line in FIG6, the image acquired by the camera 150 is processed by the analysis unit 170 of the control device 165, and the data processed by the analysis unit 170 is output by the display device 160, and all of these are controlled by the control device 165. Therefore, the user can observe the output image of the display device 160 and adjust and configure each stage manually.

還有,因應必要,如圖6以虛線所示,在第1至第3的各載台設置驅動部(113、133、153),將各驅動部以控制裝置165進行控制,從控制裝置165側進行與解析結果連動的控制也可以。Furthermore, if necessary, as shown by dotted lines in FIG. 6 , a driving unit (113, 133, 153) is provided on each of the first to third carriers, and each driving unit is controlled by a control device 165. The control from the control device 165 side in conjunction with the analysis results is also possible.

接著,量測對象透鏡130是成為像差的量測的對象透鏡,配置於上述光罩110與攝像裝置150之間。接著,本發明的剪切干涉計中,因為光罩110與量測對象透鏡130、或量測對象透鏡130與攝像裝置150之間未設置多餘的光學系統,多餘的光學系統所致的誤差未重疊,能夠以高效率/高精度進行量測對象透鏡130的像差的測定。Next, the measurement object lens 130 is a measurement object lens of aberration, and is disposed between the above-mentioned mask 110 and the imaging device 150. Next, in the shearing interferometer of the present invention, since no redundant optical system is provided between the mask 110 and the measurement object lens 130, or between the measurement object lens 130 and the imaging device 150, errors caused by redundant optical systems do not overlap, and the aberration of the measurement object lens 130 can be measured with high efficiency and high precision.

又,量測對象透鏡130,藉由6軸自由度的第2載台130S保持,藉由該第2載台130S,能夠調整量測對象透鏡130的位置與姿勢。Furthermore, the measurement object lens 130 is held by a second stage 130S having six-axis degrees of freedom, and the position and posture of the measurement object lens 130 can be adjusted by the second stage 130S.

接著,量測對象透鏡130與光罩110的距離的調整,藉由該第2載台130S,基於上述「注A」的見解進行。Next, the distance between the measurement object lens 130 and the mask 110 is adjusted by the second stage 130S based on the concept of the above-mentioned "Note A".

又,量測對象透鏡130與光罩的光軸(位置與姿勢)的調整也同樣藉由該第2載台130S進行,但如同後述,則便未從測定當初進行詳細調整,也能夠從以攝像部155取得的點圖案計算剪切像差,基於該結果計算光軸的位置姿勢,藉此能夠將光軸調整至最佳的位置得到像差的結果。Furthermore, the adjustment of the optical axis (position and posture) of the measurement object lens 130 and the mask is also performed by the second stage 130S. However, as described later, no detailed adjustment is performed from the initial measurement. The shear aberration can be calculated from the point pattern obtained by the imaging unit 155, and the position and posture of the optical axis can be calculated based on the result, thereby adjusting the optical axis to the optimal position to obtain the aberration result.

亦即,本發明中,藉由來自光源100的光束,經由光罩110與量測對象透鏡130將以攝像裝置150形成的影像資訊,以解析部170量測像差,同時因應其結果,調整量測對象透鏡130與光罩的光軸,能夠僅將光軸為最佳時的像差作為結果採用。That is, in the present invention, the image information formed by the camera 150 is measured by the analysis unit 170 through the light beam from the light source 100, the mask 110 and the measurement object lens 130, and the optical axis of the measurement object lens 130 and the mask is adjusted according to the result, so that only the aberration when the optical axis is optimal can be adopted as the result.

接著,攝像裝置150為具有由影像感測器等構成的攝像部155的裝置,藉由來自光源100的光束,攝像經由光罩110與量測對象透鏡130形成的剪切干涉點圖案的裝置。Next, the imaging device 150 is a device having an imaging unit 155 composed of an image sensor, etc., and is a device that uses the light beam from the light source 100 to capture the shearing interference dot pattern formed by the mask 110 and the measurement object lens 130.

接著,攝像裝置150藉由6軸自由度的第3載台150S支持。Next, the imaging device 150 is supported by the third stage 150S having six-axis degrees of freedom.

因此,攝像裝置150,基於上述那種量測透鏡的位置,以影像感測器等的攝像部作成的平面、與垂直於量測對象透鏡130的主點的平面成為平行的方式,並且量測對象透鏡130的光軸通過攝像部155的中心的方式,藉由第3載台150S調整。Therefore, the imaging device 150 is adjusted by the third stage 150S based on the position of the measuring lens as described above, in such a manner that the plane formed by the imaging unit such as the image sensor is parallel to the plane perpendicular to the principal point of the measuring object lens 130, and in such a manner that the optical axis of the measuring object lens 130 passes through the center of the imaging unit 155.

接著,攝像部155與量測對象透鏡130的距離,以由來自量測對象透鏡的射出瞳的光束作成的3個影像形成的剪切干涉點圖案的外緣收於構成攝像部的影像感測器等的攝像元件的方式調整。Next, the distance between the imaging unit 155 and the measuring object lens 130 is adjusted so that the outer edge of the shearing interference dot pattern formed by three images created by the light beam from the exit pupil of the measuring object lens is within the imaging element such as the image sensor constituting the imaging unit.

又,上述攝像裝置150連接至(圖未示)解析部170,該解析部170如上述圖6所示,連接至顯示部(顯示裝置)160,進行攝像裝置150攝影到的剪切干涉點圖案的解析。Furthermore, the camera 150 is connected to an analysis unit 170 (not shown). The analysis unit 170 is connected to a display unit (display device) 160 as shown in FIG. 6 , and analyzes the shearing interference point pattern photographed by the camera 150 .

因此,解析部170,如同後述,至少具備能夠處理每個單方向的剪切紋的資訊的抽出步驟、剪切干涉紋解析步驟、澤尼克係數算出步驟、原始像差再構成步驟等的演算的構造。Therefore, the analysis unit 170, as described later, has at least a calculation structure capable of processing the extraction step of information of each unidirectional shearing pattern, the shearing interference pattern analysis step, the Zernike coefficient calculation step, the original aberration reconstruction step, and the like.

又,除此之外,為了更提高精度,能夠處理剪切量鑑定步驟、及光軸位置姿勢算出步驟的構造也適宜組入。Furthermore, in order to further improve the accuracy, a structure capable of handling a shear amount identification step and an optical axis position and posture calculation step is also suitably incorporated.

其中,接著,說明關於本發明所致的解析流程與以解析部170進行的具體解析手法。Next, the analysis process according to the present invention and the specific analysis method performed by the analysis unit 170 are described.

圖7為表示解析的流程之例的流程圖。FIG. 7 is a flow chart showing an example of the flow of analysis.

本發明中,首先預先校正光罩110與攝影機(攝像元件155)的相對關係(步驟S1)。接著,光罩110與攝影機的調整,以該光罩110作成的平面與攝像元件作成的平面成為平行的方式,以從本裝置除去量測對象透鏡130的狀態進行。In the present invention, the relative relationship between the mask 110 and the camera (imaging element 155) is first calibrated in advance (step S1). Then, the mask 110 and the camera are adjusted in a state where the measurement object lens 130 is removed from the device in such a way that the plane formed by the mask 110 and the plane formed by the imaging element become parallel.

圖8為如此在從本裝置除去量測對象透鏡130的狀態下觀測到的剪切圖案之例。其中,本發明,如此解析無量測對象透鏡130狀態的剪切像差,從該剪切像差進行光罩與影像感測器的位置關係的構成。Fig. 8 is an example of a shear pattern observed in the state where the measuring object lens 130 is removed from the present device. In the present invention, the shear aberration in the state without the measuring object lens 130 is analyzed in this way, and the positional relationship between the mask and the image sensor is constructed based on the shear aberration.

接著,調整測定對象透鏡的位置/姿勢(步驟S2)。本發明中,因為根據位置/姿勢而剪切像差改變,掌握成為必要。位置與姿勢的掌握,如此上述,從量測當初沒有必要是正確的,本發明中,從後述步驟S8所致的剪切像差回饋算出結果,進行調整。Next, the position/posture of the object lens is adjusted (step S2). In the present invention, since the shear aberration changes according to the position/posture, it is necessary to master it. The position and posture mastery, as described above, does not necessarily have to be correct from the beginning of measurement. In the present invention, the result is calculated from the shear aberration feedback caused by the later step S8 and adjusted.

接著,再來從光源100將光束照射至光罩110,以影像感測器150觀測來自測定對象透鏡130的輸出光(步驟S3)。本發明中,輸出光因為形成剪切干涉點圖案,觀測到的輸出光例如成為圖9或圖10所示者。其中,圖9為量測對象透鏡130是平凸透鏡,圖10為智慧手機用攝影機的透鏡之例。Next, the light source 100 irradiates the light mask 110, and the image sensor 150 observes the output light from the measurement object lens 130 (step S3). In the present invention, the output light forms a shearing interference point pattern, and the observed output light becomes, for example, as shown in FIG. 9 or FIG. 10. Among them, FIG. 9 shows that the measurement object lens 130 is a plano-convex lens, and FIG. 10 shows an example of a lens for a camera for a smartphone.

接著,得到這種剪切干涉點圖案後,從觀測影像抽出2維解析區域(步驟S4)。2維解析區域的抽出,例如如圖4(B)的重複區域RF3所示,選擇包含來自設於光罩的各孔部的資訊的部分。Next, after obtaining the clipping interference point pattern, a two-dimensional analysis area is extracted from the observed image (step S4). The two-dimensional analysis area is extracted, for example, as shown in the repeated area RF3 of FIG. 4(B), and a portion including information from each hole portion provided in the mask is selected.

如此,抽出解析區域後,接著分離每個單方向的剪切干涉紋(步驟S5),解析3方向各自的方向的干涉紋從干涉紋算出波面(相位)(步驟S6)。After the analysis area is extracted, the shear interference pattern in each single direction is separated (step S5), and the interference patterns in each of the three directions are analyzed to calculate the wavefront (phase) from the interference patterns (step S6).

接著,將算出的3方向剪切像差以澤尼克多項式展開計算澤尼克係數(步驟S7)。Next, the calculated three-directional shear aberrations are expanded using Zenkie polynomials to calculate Zenkie coefficients (step S7).

又,從以上述算出的剪切像差算出對象物的姿勢、位置等(步驟S8),從剪切像差算出剪切量(步驟S9)。Furthermore, the posture, position, etc. of the object are calculated from the shearing aberration calculated as described above (step S8), and the shearing amount is calculated from the shearing aberration (step S9).

接著,進行從剪切像差及剪切量算出原始像差(步驟S10)的順序,但關於從步驟S5到S10,以下例示解析例再詳述。Next, a procedure of calculating the original aberration from the shearing aberration and the shearing amount (step S10) is performed. However, steps S5 to S10 will be described in detail below with reference to an analysis example.

解析例 圖11為例如使用圖12所示的球透鏡的觀測模擬影像,從下記剪切點圖案影像得到原始像差係數Co為止的流程圖之例。 Analysis Example Figure 11 is an example of a flow chart for obtaining the original aberration coefficient Co from the cut point pattern image using the observed simulated image of the spherical lens shown in Figure 12.

首先,將剪切點圖案影像的各點位置x,y的影像強度設為次式3。 式3  f(x,y) First, set the image intensity of each point position x,y of the cut point pattern image to the following formula 3. Formula 3  f(x,y)

其中,球透鏡的直徑為8mm,將光源100設置於離球透鏡中心10mm的位置,攝影機調整至從光源100遠離30mm。又,想定孔隙在正三角形配置3個之例。The diameter of the ball lens is 8 mm, the light source 100 is set at a position 10 mm away from the center of the ball lens, and the camera is adjusted to be 30 mm away from the light source 100. Also, assume that three apertures are arranged in an equilateral triangle.

如圖11的流程圖所示,最初進行每個單方向的剪切光譜的抽出(步驟(a))。As shown in the flowchart of FIG11 , the shear spectrum in each single direction is first extracted (step (a)).

具體上,為了將3方向的剪切干涉紋分離成各3方向,例如適用次式4的2維傅立葉轉換。 式4  G(X,Y)=DFT[f(x,y)] Specifically, in order to separate the shear interference fringes in three directions into three directions, for example, the 2D Fourier transform of Equation 4 is applied. Equation 4  G(X,Y)=DFT[f(x,y)]

其中,X,Y為傅立葉轉換後的像空間中的空間頻率。 將觀測影像的傅立葉轉換後的光譜G(X,Y)分佈示於圖13。 此外光譜雖為複數但圖中示出其絕對值強度。 Among them, X, Y are the spatial frequencies in the image space after Fourier transformation. The distribution of the spectrum G(X,Y) after Fourier transformation of the observed image is shown in Figure 13. In addition, although the spectrum is complex, its absolute value intensity is shown in the figure.

光譜分佈的演算能夠適用DFT離散傅立葉轉換、離散餘弦變換或FFT高速傅立葉轉換。The calculation of spectral distribution can be applied using DFT Discrete Fourier Transform, Discrete Cosine Transform or FFT Fast Fourier Transform.

從圖能夠確認每60度方向出現的特徵圖案。以從中心位置遠離35Hz的位置為中心切出以窗寬度32Hz抽出各方向的圖案。其中單位Hz表示相對於觀測孔徑直徑波數35波。From the figure, it is possible to identify the characteristic pattern that appears in every 60-degree direction. The pattern in each direction is extracted with a window width of 32Hz, with the position far away from the center position at 35Hz as the center. The unit Hz represents the wave number 35 waves relative to the observation aperture diameter.

窗寬度因應在像差分佈包含何種程度高的空間頻率決定。若是通常的透鏡等的光學元件則因為照射球面波時的射出光波的分佈滑順,即使高也能夠以50Hz左右的窗寬度抽出波面資訊。The window width is determined by how high the spatial frequency is included in the aberration distribution. In the case of optical elements such as ordinary lenses, the distribution of the emitted light waves when irradiated with spherical waves is smooth, so even with a high window width of about 50 Hz, wavefront information can be extracted.

為了將抽出的-90度、30度、150度的各方向的複數光譜G_i(X,Y)的絕對值的分佈抽出,實施求出各抽出複數光譜的次式5的計算。抽出結果示於圖14的抽出光譜像。 式5 In order to extract the distribution of the absolute values of the extracted complex spectra G_i(X,Y) in the directions of -90 degrees, 30 degrees, and 150 degrees, the calculation of the following formula 5 is performed to obtain each extracted complex spectrum. The extraction result is shown in the extracted spectrum image of Figure 14. Formula 5 .

其中,添加字i表示對應3個各剪切方向,例如若是光束1與光束2之間的剪切則i=(12),若是光束2與光束3之間的剪切則i=(23),若是光束3與光束1之間的剪切則i=(31)。 X i,Y i表示各剪切光譜圖案的中心。 為具有0或1的窗函數,這裡適用窗寬度32Hz(相對於觀測孔徑直徑波數32)的正方形窗。 The added character i indicates the corresponding three shearing directions. For example, if it is the shearing between beam 1 and beam 2, i=(12), if it is the shearing between beam 2 and beam 3, i=(23), and if it is the shearing between beam 3 and beam 1, i=(31). Xi , Yi represent the center of each shearing spectrum pattern. is a window function with a value of 0 or 1. Here, a square window with a window width of 32 Hz (relative to the wave number of the observation aperture diameter 32) is applied.

此外,以上雖說明關於利用傅立葉轉換分離成單方向的獨立的剪切干涉紋成份的方法,如下記(1)至(3)例示那樣,其他還有分離成幾種單方向的獨立的剪切干涉紋成份的方法。In addition, although the above description is about the method of separating into independent shearing interference fringe components in a single direction using Fourier transform, as exemplified in the following (1) to (3), there are other methods of separating into several independent shearing interference fringe components in a single direction.

(1)「形態學演算所致的分離法」:在垂直於3個各自的注目的剪切方向的方向施予形態學演算的一種的膨脹處理。藉由該處理結合注目的剪切方向與在垂直方向的點。該處理之後施予收縮處理,能夠得到紋圖樣圖案。藉由將該處理相對於各自的剪切方向獨立進行,能夠分離成單方向的獨立的剪切干涉紋成份。(1) "Morphological calculation-based separation method": A morphological calculation-based expansion process is applied in the direction perpendicular to the three shear directions of interest. This process combines the shear direction of interest with the points in the perpendicular direction. After this process, a contraction process is applied to obtain a texture pattern. By performing this process independently for each shear direction, it is possible to separate the shear interference pattern components into independent unidirectional components.

(2)「影像的單方向縮小與模糊處理所致的分離法」:如圖16(A)所示的剪切干涉點圖案的觀測影像取得時,例如如圖16(B)所示,藉由影像處理等,在垂直於注目的剪切方向的方向縮小觀測影像全體。接著藉由適用模糊處理能夠結合獨立的點形成紋圖樣。藉由將該處理相對於剪切方向獨立進行,能夠分離成單方向的獨立的剪切干涉紋成份。(2) "Image separation by unidirectional reduction and blur processing": When an observation image of a shearing interference dot pattern as shown in FIG. 16(A) is obtained, the entire observation image is reduced in a direction perpendicular to the shearing direction of interest by image processing, for example, as shown in FIG. 16(B). Then, by applying blur processing, independent dots can be combined to form a pattern. By performing this processing independently of the shearing direction, it is possible to separate the shearing interference pattern components in a single direction.

(3)「曲線擬合所致的方法」:如圖16(C)所示,將點圖案的峰值座標以滑順的參數曲線擬合。以擬合得到的曲線本身成為紋圖樣。作為參數曲線的代表者雖有多項式函數等,但若是利用於回歸曲線的函數則為任意都可以。(3) "Method by curve fitting": As shown in FIG16(C), the peak coordinates of the dot pattern are fitted with a smooth parametric curve. The curve obtained by fitting itself becomes the texture pattern. Although polynomial functions are representative of parametric curves, any function that can be used for regression curves can be used.

接著,藉由干涉紋解析手法計算剪切像差分佈(步驟(b))。具體上,藉由次式6,將各抽出複數光譜在實空間施予相反傅立葉轉換IDFT計算複數振幅的相位角。計算的90度方向的剪切像差的分佈示於圖15。 式6 Next, the shear aberration distribution is calculated by the interference pattern analysis method (step (b)). Specifically, by using equation 6, each extracted complex spectrum is subjected to an inverse Fourier transform IDFT in real space to calculate the phase angle of the complex amplitude. The calculated distribution of shear aberration in the 90-degree direction is shown in Figure 15. Equation 6 .

像差大的情形中,因為以上述計算得到的相位角超過[‐π π]的範圍,適用適宜相位連接法(phase unwrapping)得到無間隙的連續相位分佈。In the case of large aberrations, since the phase angle calculated above exceeds the range of [-π π], the phase unwrapping method is applied to obtain a gapless continuous phase distribution.

接著,進行級數展開係數(澤尼克係數)的算出(步驟(c))。Next, the series expansion coefficient (Zehnike coefficient) is calculated (step (c)).

光學領域中非常常使用,以與具有透鏡等圓形瞳的光學系統相性佳的澤尼克多項式表示像差分佈。 亦即將上式6得到的像差分佈φ i(x,y)以有限的澤尼克係數展開,將該係數向量作為像差量的指標。此外添加字i=12,23,31為表示3個各剪切方向的添加字。以下中在各方向因為進行相同處理而省略添加字說明。 In the field of optics, the aberration distribution is expressed by the Zenkir polynomial, which is very compatible with optical systems with round pupils such as lenses. That is, the aberration distribution φ i (x, y) obtained by the above formula 6 is expanded with a finite Zenkir coefficient, and the coefficient vector is used as an index of the aberration amount. In addition, the additional characters i=12,23,31 are additional characters representing the three shearing directions. In the following, the additional characters are omitted because the same processing is performed in each direction.

像差分佈φ(x,y)因為是關於x,y在每個畫素離散得到的資料,能夠使用在對應澤尼克多項式的基底函數的畫素位置取樣的基底向量以最小2平方法得到係數。亦即能夠將次式7的方程式的最小平方解以線性計算得到。 式7  {φ}=[Z]{c} Since the aberration distribution φ(x,y) is data obtained discretely at each pixel about x,y, the coefficients can be obtained by the least square method using the basis vector sampled at the pixel position corresponding to the basis function of the Zernike polynomial. That is, the least square solution of the equation of equation 7 can be obtained by linear calculation. Equation 7  {φ}=[Z]{c}

其中,{φ}為離散得到的像差分佈在縱向排列的向量, [Z]為將離散取樣的澤尼克基底列向量的各項在列方向排列的澤尼克基底矩陣。{c}為澤尼克係數向量。本解析例中計算條紋排列的澤尼克係數的16項。得到的剪切像差的澤尼克係數(剪切像差係數)示於圖17(A)、(B)。此外,圖17(B)為將圖17(A)的一部分擴大者。此外,澤尼克係數的最初的常數項Z 0未示於圖中。 Among them, {φ} is a vector of the aberration obtained by discrete distribution arranged in the longitudinal direction, and [Z] is a Zenith basis matrix in which the terms of the discretely sampled Zenith basis column vector are arranged in the column direction. {c} is a Zenith coefficient vector. In this analysis example, 16 terms of the Zenith coefficient of the stripe arrangement are calculated. The obtained Zenith coefficient of the shear aberration (shear aberration coefficient) is shown in Figures 17(A) and (B). In addition, Figure 17(B) is an enlarged version of a portion of Figure 17(A). In addition, the initial constant term Z0 of the Zenith coefficient is not shown in the figure.

接著,進行位置/姿勢的算出(步驟(d)),基於其結果,調整量測對象透鏡的位置與姿勢。Next, the position/orientation is calculated (step (d)), and based on the result, the position and orientation of the lens to be measured are adjusted.

亦即,上述步驟(c)中,算出剪切像差係數c s後因為得到來自3個孔的光的波面的像差,藉由探索來自c s的3個孔的彗狀像差成份或像散像差成份成為最小的位置能夠算出光軸中心。又,從3個失焦成份之差能夠算出光軸的斜率。 That is, in the above step (c), after calculating the shear aberration coefficient cs , the aberration of the wavefront of the light from the three holes is obtained, and the center of the optical axis can be calculated by searching for the position where the coma component or astigmatism component from the three holes of cs becomes the minimum. In addition, the slope of the optical axis can be calculated from the difference between the three defocus components.

其中,光軸的斜率為將孔隙板的法線方向作為基準的量測對象透鏡的軸的斜率。The slope of the optical axis is the slope of the axis of the lens to be measured with the normal direction of the aperture plate as a reference.

接著,進行剪切量的鑑定(步驟(e))。Next, the shear amount is determined (step (e)).

將在3個射出光的影像感測器上的偏差量稱為剪切量(剪切量)。剪切量是為了得到原始像差的必要資訊。The amount of deviation between the three image sensors of the emitted light is called shearing. Shearing is necessary information to obtain the original aberration.

一般而言,若得到光學元件的設計值及量測條件,例如,如圖18記載那樣,使用光源100(圖未示)、影像感測器150、光學元件130的位置、姿勢等,實施光線追蹤的模擬,雖也能以數值計算算出剪切量,但本發明中因為無法而由其他方法算出剪切量。Generally speaking, if the design value and measurement conditions of the optical element are obtained, for example, as shown in Figure 18, the light source 100 (not shown), the image sensor 150, the position and posture of the optical element 130, etc. are used to implement light tracking simulation. Although the shear amount can be calculated numerically, the shear amount is calculated by other methods because this is not possible in the present invention.

因此,本發明中將剪切量從剪切像差鑑定也是特徵的一個。Therefore, it is also a feature of the present invention to identify the shear amount from the shear aberration.

最簡便的方法為如圖19所示的反白箭頭那樣,從光學元件的開口部的邊緣的偏差算出剪切量的方法,此時,從剪切圖案影像的孔徑邊緣部抽出剪切量。更具體而言,實測圖19中的2個箭頭的前端部之間的部分的寬度,與從影像得到的「瞳的外周圓」比較能夠算出剪切量。The simplest method is to calculate the shearing amount from the deviation of the edge of the opening of the optical element as shown by the highlighted arrows in Figure 19. In this case, the shearing amount is extracted from the aperture edge of the shearing pattern image. More specifically, the shearing amount can be calculated by measuring the width of the portion between the front ends of the two arrows in Figure 19 and comparing it with the "outer circumference of the pupil" obtained from the image.

另一方面,以上述剪切量鑑定步驟說明的方法雖然簡便,但根據得到的影像會有邊緣部不鮮明而產生誤差的情形。On the other hand, although the method described in the above shear amount identification step is simple, the obtained image may have unclear edges and thus cause errors.

因此,為了鑑定更高度的剪切量,例如有構築將原始波面及剪切量作為設計變數的觀測方程式,使不適切問題適切化進行解析的方法。Therefore, in order to identify higher shear amounts, there is a method of constructing an observation equation that uses the original wavefront and shear amount as design variables to make the inappropriate problem appropriate for analysis.

其中,接下來的解析例中從剪切像差係數鑑定剪切量。亦即剪切量s i,原始像差係數co作為設計變數回歸將次式8的評價函數最小化的最適化問題同時算出剪切量及原始像差係數。 式8 In the following analysis example, the shearing amount is identified from the shearing aberration coefficient. That is, the shearing amount si and the original aberration coefficient co are used as design variables to regress the optimization problem of minimizing the evaluation function of equation 8, and the shearing amount and the original aberration coefficient are calculated simultaneously. .

其中,c skl表示光束k與l之間的剪切像差係數。 又[Z]為將離散取樣的澤尼克基底列向量的各項在列方向排列的澤尼克基底矩陣。 為將剪切向量作為平行移動量使瞳單位圓平行移動求出的澤尼克基底矩陣。 此外, 。 式8為將剪切像差與原始像差及剪切量的平方殘差作為最小化的目的函數例,但平方規範以外,若是L1規範,還有經由對數函數等單調的函數評價殘差的目的函數,則得到同樣的結果。 Wherein, c skl represents the shear aberration coefficient between beams k and l. Also, [Z] is a Zenith basis matrix that arranges the terms of the discretely sampled Zenith basis column vectors in the column direction. The Zernike basis matrix is obtained by parallel translation of the pupil unit circle using the shear vector as the parallel translation amount. Formula 8 is an example of a target function that minimizes the shear aberration, the original aberration, and the squared residual of the shearing amount. However, if the L1 standard is used in addition to the square standard, there is also a target function that evaluates the residual through a monotonic function such as a logarithmic function, and the same result is obtained.

此外,在式8的右邊的各殘差之項中因為包含相互附屬的殘差項,適宜省略附屬的殘差項解聯立方程式也可以。 此外,該最適化問題因為是惡條件,為了s_i,c_o的探索,適用在逆解析常用的適切化方法為佳。例如適用權重殘差法、未知數遞減法、吉洪諾夫的適切化法、MAP法等能夠達到解的穩定化。 In addition, since the residual terms on the right side of equation 8 contain mutually dependent residual terms, it is also possible to solve the simultaneous equations by omitting the dependent residual terms. In addition, since this optimization problem is a bad condition, it is better to apply the adaptation method commonly used in inverse analysis in order to explore s_i, c_o. For example, the weighted residual method, the unknown number reduction method, Tikhonov's adaptation method, the MAP method, etc. can be applied to achieve the stabilization of the solution.

接著,進行從剪切像差計算各個光的像差(以下稱為原始像差)的原始像差的再構築。(步驟(f)) 原始像差的解析中,剪切量(2個波面的偏差量)為必須,從前手法中能夠從使剪切光產生的板的厚度及折射率預先得知。本手法中因為剪切量受到測定對象物的影響而未知,以上述步驟e所示的手法求出剪切量。 Next, the original aberration is reconstructed to calculate the aberration of each light (hereinafter referred to as the original aberration) from the shear aberration. (Step (f)) In the analysis of the original aberration, the shear amount (the deviation amount of the two wavefronts) is necessary, and it can be known in advance from the thickness and refractive index of the plate that generates the shear light from the previous method. In this method, since the shear amount is unknown due to the influence of the measured object, the shear amount is calculated using the method shown in the above step e.

原始像差的解析具體如接著那樣進行。The analysis of the original aberration is specifically performed as follows.

基於以上述步驟c得到的剪切像差係數計算對來自各孔隙的光的射出波面的像差係數(原始像差係數)。將剪切向量設為s_i,則剪切像差係數c s及原始像差係數co成立次式9的關係: 式9 Based on the shear aberration coefficient obtained in step c above, the aberration coefficient (original aberration coefficient) for the outgoing wavefront of the light from each aperture is calculated. Let the shear vector be s_i, then the shear aberration coefficient cs and the original aberration coefficient co are related by equation 9: .

上式中,[Z]為將離散取樣的澤尼克基底列向量的各項在列方向排列的澤尼克基底矩陣。 為將剪切向量作為平行移動量使瞳單位圓平行移動求出的剪切矩陣。在此(k,l)=(1,2),(2,3),(3,1)。關於剪切矩陣的算出,能夠參考「非專利文獻11」等。 上式中,因為 的各量為已知,以最小平方法或權重最小平方法解該方程式能夠得到原始像差係數c o。此外,在式9的聯立方程式因為包含相互附屬的方程式,適宜省略附屬的方程式解聯立方程式也可以。 In the above formula, [Z] is the Zenkirche basis matrix that arranges the terms of the discretely sampled Zenkirche basis column vectors in the column direction. The shear matrix is obtained by parallel translation of the pupil unit circle using the shear vector as the parallel translation amount. Here, (k, l) = (1, 2), (2, 3), (3, 1). For the calculation of the shear matrix, refer to "Non-patent Document 11" and the like. In the above formula, because and The quantities of are known, and the original aberration coefficient c o can be obtained by solving the equation by the least square method or the weighted least square method. In addition, since the simultaneous equations in equation 9 include mutually dependent equations, it is also possible to solve the simultaneous equations by omitting the dependent equations as appropriate.

因此,藉由以上計算處理,例如能夠取得圖20記載的原始像差係數。Therefore, through the above calculation processing, for example, the original aberration coefficient shown in Figure 20 can be obtained.

此外,上述圖11的流程圖中,各步驟的順序,若是非利用前步驟的結果的情形,則不在此限。因此,例如位置/姿勢算出步驟(步驟(d)),適宜回饋至步驟(a),基於該結果再進行位置/姿勢的調整。又,基於剪切像差係數的原始像差再構築步驟(步驟(f))中,是從剪切量鑑定步驟(步驟(e))鑑定剪切量,再構築原始像差之物也可以。In addition, the order of each step in the flowchart of FIG. 11 is not limited to this, unless the result of the previous step is used. Therefore, for example, the position/attitude calculation step (step (d)) is appropriately fed back to step (a), and the position/attitude is adjusted based on the result. Furthermore, in the original aberration reconstruction step (step (f)) based on the shear aberration coefficient, the shear amount is determined from the shear amount determination step (step (e)), and the original aberration is reconstructed.

因此,藉由以上步驟,根據本發明的剪切干涉測定方法及剪切干涉測定裝置,能夠求出原始像差等。Therefore, through the above steps, according to the shearing interferometer measurement method and shearing interferometer measurement device of the present invention, the original aberration, etc. can be obtained.

因此,根據本發明的剪切干涉測定方法及剪切干涉測定裝置,能夠有效率地測定成為量測對象的光學元件的像差,剪切干涉的測定時,從前複數次進行的干涉波面的量測能夠以一次的量測進行。Therefore, according to the shearing interferometry measurement method and shearing interferometry measurement device of the present invention, the aberration of the optical element to be measured can be efficiently measured, and when measuring shearing interferometry, the interference wavefront measurement that was previously performed multiple times can be performed in one measurement.

此外,上述記載例為示出本發明的量測方法/裝置的一例者,本發明的意圖的範圍也能夠更採用不同的方法。In addition, the above-described example is an example of the measuring method/device of the present invention, and the scope of the intent of the present invention can also adopt different methods.

例如,圖11記載的由干涉紋解析手法計算剪切像差分佈的步驟(步驟(b))中,適用相位轉換法(非專利文獻3、非專利文獻4)、傅立葉轉換法(非專利文獻5)、空間相位同步法(非專利文獻6~8)、局部模型擬合法(LocalModelFitting法;LMF法)(非專利文獻9、10),能夠從干涉紋影像解析波面。For example, in the step (step (b)) of calculating the shear aberration distribution by the interference pattern analysis method shown in Figure 11, the phase conversion method (non-patent document 3, non-patent document 4), the Fourier transformation method (non-patent document 5), the spatial phase synchronization method (non-patent documents 6 to 8), and the local model fitting method (Local Model Fitting method; LMF method) (non-patent documents 9, 10) are applied to analyze the wavefront from the interference pattern image.

接著,記載其他具體的解析例。Next, other specific analysis examples are described.

解析例1 (未設置被驗物的情形的像差測定) 為了實證本手法的精度進行未設置被驗物的情形的像差測定。 將光源與攝影機的距離設定成33mm進行5次測定,將該觀測影像的一個示於圖21(A)。同圖21,圖21(B)為圖21(A)的四角框部分的擴大圖。 又,圖22的(A)至(C)示出像差解析結果。各圖形將來自150度、30度、270度各方向的孔隙的光的像差以澤尼克係數表示。此外16項的澤尼克係數之中稱為z0的最初的常數項(塞成分)省略表示。無被驗物的情形因為能夠計算理論值為了比較精度也一併表示理論值。得知5次的量測值的標記與理論值重疊。 Analysis Example 1 (Aberration measurement without a test object) In order to verify the accuracy of this method, aberration measurement without a test object was performed. The distance between the light source and the camera was set to 33 mm and five measurements were performed. One of the observed images is shown in Figure 21 (A). Figure 21 (B) is an enlarged view of the square frame portion of Figure 21 (A) as in Figure 21. In addition, Figures 22 (A) to (C) show the aberration analysis results. Each figure represents the aberration of light from the aperture in the directions of 150 degrees, 30 degrees, and 270 degrees as a Zenkir coefficient. In addition, the first constant term (stopper component) called z0 among the 16 Zenkir coefficients is omitted. Since the theoretical value can be calculated in the case without a test object, the theoretical value is also shown for comparison of accuracy. It is found that the marks of the 5 measured values overlap with the theoretical values.

因為失焦成份Z3大,僅將Z4~Z16的項擴大縱軸示於圖23(A)~(C)。得知5次的量測值的標記與理論值重疊。Because the defocus component Z3 is large, only the items Z4 to Z16 are expanded on the vertical axis and shown in Figures 23(A) to (C). It is found that the marks of the five measured values overlap with the theoretical values.

與理論值之差示於圖24(A)~(C)。標準差相對於5次的量測為0.799mλ,將從前手法無法實現的精度以低成本的硬體及短時間的有效率的光軸調整實現。The difference from the theoretical value is shown in Figure 24 (A) to (C). The standard deviation for 5 measurements is 0.799mλ, which makes it possible to achieve accuracy that was previously unattainable with low-cost hardware and efficient optical axis adjustment in a short time.

解析例2 (平凸透鏡的像差測定) 為了實證本手法的精度進行平凸透鏡的像差測定。 Analysis Example 2 (Measurement of aberration of a plano-convex lens) In order to verify the accuracy of this method, aberration of a plano-convex lens was measured.

將光源與攝影機的距離設定成33mm進行5次測定。The distance between the light source and the camera was set to 33 mm and five measurements were performed.

對象的平凸透鏡為SIGMA光機公司製的SLB-10-80P。The plano-convex lens used is SLB-10-80P manufactured by SIGMA Koki Co., Ltd.

觀測影像的一個示於圖25(A)。同圖25,圖25(B)為圖25(A)的四角框部分的擴大圖。One of the observed images is shown in Fig. 25(A). Fig. 25(B) is an enlarged view of the quadrangular frame portion of Fig. 25(A) as in Fig. 25.

像差解析結果示於圖26(A)~(C)。各圖形將來自150度、30度、270度各方向的孔隙的光的像差以澤尼克係數表示。此外16項的澤尼克係數之中稱為z0的最初的常數項(塞成分)省略表示。得知5次的量測值的標記再現性佳地重疊。The aberration analysis results are shown in Figures 26 (A) to (C). Each figure shows the aberration of light from the apertures in the directions of 150 degrees, 30 degrees, and 270 degrees in the form of Zenick coefficients. In addition, the first constant term (plug component) called z0 among the 16 Zenick coefficients is omitted. It is found that the marks of the five measured values overlap with good reproducibility.

因為失焦成份Z3大,僅將Z4~Z16的項擴大縱軸示於圖27(A)~(C)。擴大的圖形中也得知5次的量測值的標記再現性佳地重疊。Because the defocus component Z3 is large, only the items Z4 to Z16 are expanded on the vertical axis and shown in Figures 27 (A) to (C). In the expanded graphs, it can be seen that the marks of the five measurement values overlap with good reproducibility.

將與第一次的測定的差示於圖28(A)~(C)。標準差相對於5次量測為0.625mλ。The difference from the first measurement is shown in Figure 28 (A) to (C). The standard deviation is 0.625 mλ for 5 measurements.

100:光源 110:孔隙板(光罩) 110S:第1載台 113:第1驅動部 130:量測對象透鏡 130S:第2載台 133:第2驅動部 150:攝像裝置 150S:第3載台 153:第3驅動部 155:攝像部 160:顯示裝置 165:控制裝置 170:解析部 H:孔隙(孔) d:孔隙的口徑 w:孔隙的間隔(孔隙相互間的距離) λ:雷射的振盪波長 f:量測對象透鏡與光罩的距離 D:量測對象透鏡的直徑 cs:剪切像差係數 s:剪切量 s_i:剪切向量 Co:原始像差係數 100: Light source 110: Aperture plate (mask) 110S: 1st stage 113: 1st drive unit 130: Measurement target lens 130S: 2nd stage 133: 2nd drive unit 150: Imaging device 150S: 3rd stage 153: 3rd drive unit 155: Imaging unit 160: Display device 165: Control device 170: Analysis unit H: Aperture (hole) d: Aperture diameter w: Aperture interval (distance between apertures) λ: Laser oscillation wavelength f: Distance between measurement target lens and mask D: Diameter of measurement target lens cs: shear aberration coefficient s: shear amount s_i: shear vector Co: original aberration coefficient

[圖1]本發明之例的表示光學系統的硬體的概要的側面圖。此外,右側的重複的圓為示意表示在3方向偏移的光束的正視圖。 [圖2]表示將來自光源的光束一致於3個孔隙的位置集光之例的影像;圖2(A)~圖2(C)表示依序失焦的狀態。 [圖3]表示複數孔的孔隙之例的正視圖。 [圖4]表示光束的剪切偏移之例的正視圖;圖4(A)表示2方向偏移之例;圖4(B)表示3方向偏移之例。 [圖5]圖5(A)為表示本發明之例的空間濾波器之例的側面圖;圖5(B)為表示將本發明之例的各開口數沿圖1之例表示的側面圖。 [圖6]表示包含本發明的測定裝置的解析部的區塊圖。 [圖7]表示解析的流程之例的流程圖。 [圖8]表示無被檢物的情形觀測到的剪切圖案之例的影像。 [圖9]表示觀測到的剪切圖案之例(平凸透鏡)的影像。 [圖10]表示觀測到的剪切圖案之例(智慧手機攝影機鏡頭)的影像正視圖。 [圖11]表示從干涉紋強度分佈至得到原始像差係數為止的順序的流程圖。 [圖12]球透鏡觀測模擬影像之例。 [圖13]將球透鏡的觀測模擬影像進行傅立葉轉換得到的全體光譜像,横軸與縱軸表示空間頻率1/(pixcel)。 [圖14]以50Hz左右的窗寬度抽出波面資訊的各方向的抽出光譜像。 [圖15]表示90度方向的剪切像差分佈的影像。 [圖16]例示各種單方向紋影像的抽出影像。 [圖17]表示干涉影像的點圖案的剪切量的圖。 [圖18]表示藉由光線追蹤法鑑定剪切量之例的斜視圖。 [圖19]表示將剪切量基於剪切干涉點圖案鑑定的情形的量測部分的圖。 [圖20]表示原始像差係數的圖。 [圖21]未設置被檢物(量測對象)的情形的觀測影像之例。 [圖22]表示圖21的情形的像差解析結果的圖。 [圖23]將圖22的Z4~Z16擴大的圖。 [圖24]表示與理論值之差的圖。 [圖25]作為量測對象設置平凸透鏡的情形的觀測影像之例。 [圖26]表示圖25的情形的像差解析結果的圖。 [圖27]將圖26的Z4~Z16擴大的圖。 [圖28]表示與理論值之差的圖。 [Figure 1] A side view showing an overview of the hardware of the optical system of the example of the present invention. In addition, the repeated circles on the right side are front views schematically showing a light beam offset in three directions. [Figure 2] An image showing an example of focusing the light beam from the light source at the positions of three apertures; Figures 2(A) to 2(C) show the state of sequential defocusing. [Figure 3] A front view showing an example of apertures with multiple holes. [Figure 4] A front view showing an example of shear offset of the light beam; Figure 4(A) shows an example of offset in two directions; Figure 4(B) shows an example of offset in three directions. [Figure 5] Figure 5(A) is a side view showing an example of a spatial filter of the example of the present invention; Figure 5(B) is a side view showing the number of openings of the example of the present invention along the example of Figure 1. [Fig. 6] is a block diagram showing an analysis unit of a measuring device according to the present invention. [Fig. 7] is a flowchart showing an example of the analysis process. [Fig. 8] is an image showing an example of a shearing pattern observed without a test object. [Fig. 9] is an image showing an example of a shearing pattern observed (plano-convex lens). [Fig. 10] is a front view of an image showing an example of a shearing pattern observed (smartphone camera lens). [Fig. 11] is a flowchart showing the sequence from the distribution of interference fringe intensity to the acquisition of the original aberration coefficient. [Fig. 12] is an example of a simulated image observed with a spherical lens. [Figure 13] The full spectrum image obtained by Fourier transforming the observed simulation image of the ball lens, with the horizontal and vertical axes representing the spatial frequency 1/(pixcel). [Figure 14] The extracted spectrum images in each direction of the wavefront information extracted with a window width of about 50 Hz. [Figure 15] The image showing the shear aberration distribution in the 90-degree direction. [Figure 16] The extracted images of various unidirectional fringe images are shown. [Figure 17] The diagram showing the shear amount of the dot pattern of the interference image. [Figure 18] The oblique view showing an example of the shear amount identified by the ray tracing method. [Figure 19] The diagram showing the measurement part of the case where the shear amount is identified based on the shear interference dot pattern. [Figure 20] The diagram showing the original aberration coefficient. [Figure 21] An example of an observed image when no object to be tested (measurement target) is set. [Figure 22] A diagram showing the aberration analysis results of the situation in Figure 21. [Figure 23] An enlarged diagram of Z4 to Z16 in Figure 22. [Figure 24] A diagram showing the difference from the theoretical value. [Figure 25] An example of an observed image when a plano-convex lens is set as the measurement target. [Figure 26] A diagram showing the aberration analysis results of the situation in Figure 25. [Figure 27] An enlarged diagram of Z4 to Z16 in Figure 26. [Figure 28] A diagram showing the difference from the theoretical value.

100:光源 100: Light source

110:孔隙板(光罩) 110: Aperture plate (light mask)

110S:第1載台 110S: The first carrier

130:量測對象透鏡 130: Measurement object lens

130S:第2載台 130S: The second carrier

150:攝像裝置 150: Camera device

150S:第3載台 150S: The third carrier

Claims (27)

一種剪切干涉測定方法,係於在光源與量測對象物之間進行光束的分波,將前述分波後的光束照射至前述量測對象物使其干涉的剪切干涉計中, 藉由配置於前述光源與前述量測對象物之間的孔隙板進行前述分波; 在前述孔隙板,設置不在一直線上的3個以上的孔隙。 A shearing interferometer measurement method is to split a light beam between a light source and a measurement object, and irradiate the split light beam to the measurement object to cause interference in a shearing interferometer. The splitting is performed by an aperture plate disposed between the light source and the measurement object; Three or more apertures that are not in a straight line are provided in the aperture plate. 如請求項1記載的剪切干涉測定方法,其中,前述孔隙板,具有相對於朝向前述量測對象物側的前述量測對象物的開口數及前述光源的波長具有空間濾波器的效果的孔隙的直徑。A shearing interference measurement method as recited in claim 1, wherein the aperture plate has a diameter of apertures having a spatial filter effect relative to the number of openings of the measurement object facing the measurement object side and the wavelength of the light source. 如請求項1記載的剪切干涉測定方法,其中,藉由使來自前述光源的光學系統離焦形成集光面,使得前述3個以上的孔隙收於前述集光面上,將來自前述孔隙板的輸出光的照度均等提高。A shearing interference measurement method as described in claim 1, wherein the optical system from the aforementioned light source is defocused to form a light-collecting surface so that the aforementioned three or more apertures are placed on the aforementioned light-collecting surface, thereby evenly improving the illumination of the output light from the aforementioned aperture plate. 如請求項1記載的剪切干涉測定方法,其中,前述孔隙板由厚度200μm以下的金屬薄膜形成,前述孔隙的間隔w在10μm以上到500μm以下之間,前述孔隙的直徑d為10μm以下。A shear interference measurement method as described in claim 1, wherein the aperture plate is formed of a metal film having a thickness of less than 200 μm, the interval w of the apertures is between 10 μm and 500 μm, and the diameter d of the apertures is less than 10 μm. 如請求項1記載的剪切干涉測定方法,其中,前述孔隙為設於假想的正三角形的各頂點的3個,前述孔隙的間隔w,在將光源的波長設為λ,輸出光的開口數設為NA out,沿著作為攝像裝置的影像感測器取得的剪切干涉點圖案的觀測畫面得到的圓形的直徑的點數設為n時,設為式2的大小: 式2  w=nλ/NA out(20<n<200)。 A shearing interference measurement method as described in claim 1, wherein the aforementioned apertures are three and are arranged at the vertices of an imaginary equilateral triangle, and the interval w of the aforementioned apertures, when the wavelength of the light source is set to λ, the number of openings of the output light is set to NA out , and the number of points of the diameter of the circle obtained along the observation screen of the shearing interference point pattern obtained by the image sensor serving as the photographic device is set to n, is set to the size of Formula 2: Formula 2 w=nλ/NA out (20<n<200). 如請求項1記載的剪切干涉測定方法,其中,就由前述干涉取得到的剪切干涉點圖案影像的位置(x,y)中的影像強度f(x,y),進行演算處理,分離成構成前述3個以上的孔隙的2個孔隙的組合所致的單方向的獨立的剪切干涉紋成份。A shearing interference measurement method as described in claim 1, wherein the image intensity f(x, y) at the position (x, y) of the shearing interference point pattern image obtained by the aforementioned interference is calculated and processed to separate it into unidirectional independent shearing interference pattern components caused by the combination of two pores constituting the aforementioned three or more pores. 如請求項6記載的剪切干涉測定方法,其中,前述演算處理為2維傅立葉轉換、形態學演算所致的分離法、影像的單方向縮小與模糊處理所致的分離法、或曲線擬合所致的方法的任一者。A shearing interference measurement method as recited in claim 6, wherein the aforementioned calculation processing is any one of a 2D Fourier transform, a separation method due to morphological calculation, a separation method due to unidirectional image reduction and blurring processing, or a method due to curve fitting. 如請求項6記載的剪切干涉測定方法,其中,前述演算處理為2維傅立葉轉換,由式4求出前述分離後的光譜分佈: 式4  G(X,Y)=DFT[f(x,y)]。 As described in claim 6, the shearing interference measurement method, wherein the aforementioned calculation process is a two-dimensional Fourier transform, and the spectral distribution after the aforementioned separation is obtained by equation 4: Equation 4  G(X,Y)=DFT[f(x,y)]. 如請求項6記載的剪切干涉測定方法,其中,基於前述單方向的獨立的剪切干涉紋成份,進行演算處理,算出各方向的複數抽出光譜的分佈。A shearing interference measurement method as recited in claim 6, wherein calculation processing is performed based on the independent shearing interference fringe components in the aforementioned single direction to calculate the distribution of the complex extracted spectra in each direction. 如請求項8記載的剪切干涉測定方法,其中,抽出前述分離後的光譜G(X,Y)分佈的一部分時,由式5算出各方向的抽出複數光譜的分佈: 式5 In the shearing interferometry method of claim 8, when a part of the distribution of the separated spectrum G(X,Y) is extracted, the distribution of the extracted complex spectrum in each direction is calculated by equation 5: 如請求項9記載的剪切干涉測定方法,其中,為了解析剪切像差分佈,藉由演算處理,基於前述各方向的抽出複數光譜計算像差分佈。A shearing interferometry measurement method as recited in claim 9, wherein, in order to analyze the shear aberration distribution, the aberration distribution is calculated based on the extracted complex spectra in the aforementioned directions through calculation processing. 如請求項11記載的剪切干涉測定方法,其中,前述演算處理為相位轉換法、傅立葉轉換法、空間相位同步法、及局部模型擬合法的任一者。A shearing interferometry measurement method as recited in claim 11, wherein the calculation processing is any one of a phase conversion method, a Fourier conversion method, a spatial phase synchronization method, and a local model fitting method. 如請求項11記載的剪切干涉測定方法,其中,由式6計算前述像差分佈: 式6 The shearing interferometry method as recited in claim 11, wherein the aberration distribution is calculated by equation 6: . 如請求項13記載的剪切干涉測定方法,其中,將由前述式6得到的 像差分佈φ i(x,y)以有限的澤尼克(Zernike)係數展開, 將該係數作為向量的像差量的指標。 The shearing interferometry measurement method as recited in claim 13 is characterized in that the aberration distribution φ i (x, y) obtained by the above-mentioned equation 6 is expanded using finite Zernike coefficients, and the coefficients are used as indices of the aberration amount of the vector. 如請求項14記載的剪切干涉測定方法,其中,從由前述指標取得的剪切像差的係數(剪切像差係數),由式8同時求出來自3個孔隙的光所致的剪切量與原始像差係數: 式8 The shearing interferometry method as recited in claim 14, wherein the shearing amount and the original aberration coefficient due to light from three apertures are simultaneously calculated from the shearing aberration coefficient (shearing aberration coefficient) obtained by the aforementioned index by equation 8: . 如請求項14記載的剪切干涉測定方法,其中,基於由前述指標取得的剪切像差係數,基於式9的關係,計算相對於來自3個孔隙的光的射出波面的像差係數(原始像差係數): 式9 The shearing interferometry measurement method as recited in claim 14, wherein, based on the shearing aberration coefficient obtained by the aforementioned index, the aberration coefficient (raw aberration coefficient) relative to the outgoing wavefront of the light from the three apertures is calculated based on the relationship of equation 9: . 如請求項1至15中任1項記載的剪切干涉測定方法,其中,基於由前述干涉量測的剪切像差係數或原始像差係數,判斷前述量測對象物的光軸有無從光軸中心及前述孔隙板的垂直軸傾斜,調整前述量測對象物的位置與姿勢。A shearing interferometry measurement method as described in any one of claims 1 to 15, wherein, based on the shear aberration coefficient or the original aberration coefficient measured by the aforementioned interference, it is determined whether the optical axis of the aforementioned measurement object is tilted from the center of the optical axis and the vertical axis of the aforementioned aperture plate, and the position and posture of the aforementioned measurement object are adjusted. 一種剪切干涉測定裝置,係於在光源與量測對象透鏡之間進行光束的分波,將前述分波後的光束照射至前述量測對象透鏡使其干涉的剪切干涉計中, 藉由配置於前述光源與前述量測對象透鏡之間的孔隙板進行前述分波; 在前述孔隙板,設置不在一直線上的3個以上的孔隙。 A shearing interferometer measuring device is a shearing interferometer that splits a light beam between a light source and a measurement object lens, and irradiates the split light beam to the measurement object lens to cause interference. The splitting is performed by an aperture plate disposed between the light source and the measurement object lens; Three or more apertures that are not in a straight line are provided in the aperture plate. 如請求項18記載的剪切干涉測定裝置,其中,前述孔隙板,具有相對於朝向前述量測對象物側的前述量測對象物的開口數及前述光源的波長具有空間濾波器的效果的孔隙的直徑。A shearing interferometer measuring device as recited in claim 18, wherein the aperture plate has a diameter of apertures having the effect of a spatial filter relative to the number of openings of the measurement object facing the measurement object side and the wavelength of the light source. 如請求項18記載的剪切干涉測定裝置,其中,藉由使來自前述光源的光學系統離焦形成集光面,使得前述3個以上的孔隙收於前述集光面上,將來自前述孔隙板的輸出光的照度均等提高。As described in claim 18, the shearing interference measuring device is configured such that the optical system from the light source is defocused to form a light-collecting surface, so that the three or more apertures are placed on the light-collecting surface, thereby evenly improving the illumination of the output light from the aperture plate. 如請求項18記載的剪切干涉測定裝置,其中,前述孔隙板由厚度200μm以下的金屬薄膜形成,前述孔隙的間隔w在10μm以上到500μm以下之間,前述孔隙的直徑d為10μm以下。A shear interference measuring device as described in claim 18, wherein the aforementioned aperture plate is formed by a metal film having a thickness of less than 200 μm, the interval w of the aforementioned apertures is between greater than 10 μm and less than 500 μm, and the diameter d of the aforementioned apertures is less than 10 μm. 如請求項18記載的剪切干涉測定裝置,其中,前述孔隙的直徑d,在將對從前述孔隙板向前述測定對象物的前述測定對象物而言的入射開口數設為NA in時,設為式1的大小: 式1  d[μm]=αλ/NA inA shearing interferometer measuring device as recited in claim 18, wherein the diameter d of the aperture is set to the magnitude of Formula 1 when the number of incident openings from the aperture plate to the measurement object is set to NA in : Formula 1 d[μm]=αλ/NA in . 如請求項18記載的剪切干涉測定裝置,其中,前述孔隙為設於假想的正三角形的各頂點的3個,前述孔隙的間隔w,在將光源的波長設為λ,輸出光的開口數設為NA out,攝像裝置的影像感測器取得的影像的紋的條數(作為剪切干涉點圖案的觀測畫面得到的圓形的直徑上的點數)設為n時,設為式2的大小: 式2  w=nλ/NA out(50<n<100)。 A shearing interference measuring device as described in claim 18, wherein the aforementioned apertures are three and are arranged at the vertices of an imaginary equilateral triangle, and the interval w of the aforementioned apertures, when the wavelength of the light source is set to λ, the number of openings of the output light is set to NA out , and the number of lines of the image obtained by the image sensor of the imaging device (the number of points on the diameter of the circle obtained as the observation screen of the shearing interference point pattern) is set to n, is set to the size of Formula 2: Formula 2 w=nλ/NA out (50<n<100). 如請求項18記載的剪切干涉測定裝置,其中,就由前述干涉取得到的剪切干涉點圖案影像的位置(x,y)中的影像強度f(x,y),進行演算處理,分離成構成前述3個以上的孔隙的2個孔隙的組合所致的單方向的獨立的剪切干涉紋成份。A shearing interference measuring device as recited in claim 18, wherein an image intensity f(x, y) at a position (x, y) of a shearing interference dot pattern image obtained by the aforementioned interference is subjected to calculation processing to separate into unidirectional independent shearing interference pattern components caused by a combination of two pores constituting the aforementioned three or more pores. 如請求項24記載的剪切干涉測定裝置,其中,基於前述單方向的獨立的剪切干涉紋成份,進行演算處理,算出各方向的複數抽出光譜的分佈。A shearing interference measuring device as recited in claim 24, wherein calculation processing is performed based on the independent shearing interference pattern components in the aforementioned single direction to calculate the distribution of the complex extracted spectra in each direction. 如請求項18記載的剪切干涉測定裝置,其中,基於由前述干涉量測的剪切像差係數或原始像差係數,判斷前述量測對象物的光軸有無從光軸中心及前述孔隙板的垂直軸傾斜,調整前述量測對象物的位置與姿勢。A shearing interferometer measuring device as recited in claim 18, wherein, based on the shear aberration coefficient or the original aberration coefficient measured by the aforementioned interference, it is determined whether the optical axis of the aforementioned measurement object is tilted from the center of the optical axis and the vertical axis of the aforementioned aperture plate, and the position and posture of the aforementioned measurement object are adjusted. 如請求項18至26中任1項記載的剪切干涉測定裝置,其中,前述孔隙,設於假想的正三角形的各頂點、假想的直角三角形的各頂點、或假想的正三角形的各頂點的任一者。A shear interference measuring device as recited in any one of claims 18 to 26, wherein the aforementioned pores are located at the vertices of an imaginary equilateral triangle, the vertices of an imaginary right triangle, or any one of the vertices of an imaginary equilateral triangle.
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