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CN104111120B - Phase extraction method based on bright strange shearing interferometer - Google Patents

Phase extraction method based on bright strange shearing interferometer Download PDF

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CN104111120B
CN104111120B CN201410360070.8A CN201410360070A CN104111120B CN 104111120 B CN104111120 B CN 104111120B CN 201410360070 A CN201410360070 A CN 201410360070A CN 104111120 B CN104111120 B CN 104111120B
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吴飞斌
唐锋
王向朝
李�杰
李永
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Shanghai Institute of Optics and Fine Mechanics of CAS
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Abstract

一种基于朗奇剪切干涉仪的相位提取方法,该方法采用的朗奇剪切干涉仪结构包括光源、聚焦透镜、散射光学元件、一维衍射光栅板、被测光学系统平台、棋盘光栅、二维光电传感器和计算机。在被测光学系统物平面和像平面分别放置一维衍射光栅和棋盘光栅,通过采集相移间隔为π/4的9幅干涉条纹图计算相位,消除朗奇剪切干涉中多级衍射光干涉对相位提取精度的影响。本发明的相位提取方法,消除0级与±1级以外的较高级次衍射项的影响,降低波像差检测中相位提取的系统误差,提高光学系统的波像差检测精度。

A phase extraction method based on a Ronchi shearing interferometer. The Ronchi shearing interferometer structure used in the method includes a light source, a focusing lens, a scattering optical element, a one-dimensional diffraction grating plate, an optical system platform under test, a checkerboard grating, Two-dimensional photoelectric sensor and computer. Place a one-dimensional diffraction grating and a checkerboard grating on the object plane and image plane of the optical system under test, and calculate the phase by collecting 9 interference fringe patterns with a phase shift interval of π/4, eliminating the multi-level diffracted light interference in the Ronchi shear interference Influence on phase extraction accuracy. The phase extraction method of the present invention eliminates the influence of higher-order diffraction items other than 0th order and ±1st order, reduces the systematic error of phase extraction in wave aberration detection, and improves the wave aberration detection accuracy of the optical system.

Description

基于朗奇剪切干涉仪的相位提取方法Phase Extraction Method Based on Ronchi Shearing Interferometer

技术领域technical field

本发明涉及剪切干涉仪,特别是一种基于朗奇剪切干涉仪的相位提取方法。The invention relates to a shearing interferometer, in particular to a phase extraction method based on the Ronchi shearing interferometer.

背景技术Background technique

朗奇剪切干涉是一种采用了扩展光源调制光场空间相干性的剪切干涉,具有不需要单独的理想参考波面、易实现共光路干涉、没有空间光程误差、检测精度高、灵敏度高等优点。朗奇剪切干涉引入了相移干涉技术,通过横向移动光栅,在剪切波面和0级波面之间引入稳定的相位差,通过改变相移量得到多幅干涉图,计算被测相位分布,求出被测光学系统波像差。为了获得原始波前,需要对干涉图进行相位提取,相位提取是干涉测量的重要步骤,相位提取精度直接影响到最终的检测精度。常用的干涉图相位提取方法包括两类,分别是频域法和时域法。频域法主要采用傅里叶变换法,而时域法主要采用相移干涉技术。朗奇剪切干涉仪采用相移干涉技术进行相位提取,相移干涉技术计算简单、速度快、精度高,但影响测量精度的误差因素较多:一方面来自外界环境,如空气清洁度、实验平台震动、空气扰动等;另一方面来自干涉仪内部,如相移器压电晶体的标定误差与非线性误差、光学系统的加工误差和装调后的剩余误差、光电传感器的非线性误差等。对于朗奇剪切干涉仪,当剪切率较小时,剪切光栅除了±1级与0级发生干涉获得需要的干涉条纹之外,更高级次的衍射项也会与0级光发生干涉,严重影响相位提取的精度。朗奇剪切干涉仪对相移器的要求不高,光栅位移量在几百nm量级,因此相移误差较小,在保证较好的测量环境的情况下,光栅多级衍射光的相互影响可以看作是朗奇剪切干涉仪的主要误差源,因此消除多级衍射误差是朗奇剪切干涉仪应用于高精度光学系统波像差检测的前提。Ronchi shearing interference is a shearing interference that uses an extended light source to modulate the spatial coherence of the light field. It has the advantages of not requiring a separate ideal reference wavefront, easy to achieve common optical path interference, no spatial optical path error, high detection accuracy, and high sensitivity. advantage. Ronchi shearing interferometry introduces the phase-shifting interferometry technology. By moving the grating laterally, a stable phase difference is introduced between the shearing wavefront and the 0th-order wavefront. By changing the phase shifting amount, multiple interferograms are obtained, and the measured phase distribution is calculated. Calculate the wave aberration of the measured optical system. In order to obtain the original wavefront, it is necessary to extract the phase of the interferogram. Phase extraction is an important step in interferometry, and the accuracy of phase extraction directly affects the final detection accuracy. Commonly used interferogram phase extraction methods include two types, namely the frequency domain method and the time domain method. The frequency domain method mainly uses the Fourier transform method, while the time domain method mainly uses the phase shift interferometry technique. The Ronchi shearing interferometer uses phase-shifting interferometry for phase extraction. Phase-shifting interferometry is simple, fast, and high-precision. Platform vibration, air disturbance, etc.; on the other hand, it comes from the inside of the interferometer, such as the calibration error and nonlinear error of the piezoelectric crystal of the phase shifter, the processing error of the optical system and the residual error after installation, and the nonlinear error of the photoelectric sensor. For the Ronchi shearing interferometer, when the shear rate is small, the shearing grating not only interferes with the ±1st order and the 0th order to obtain the required interference fringes, but also interferes with the 0th order light, and the higher order diffraction items also interfere with the 0th order light. Seriously affect the accuracy of phase extraction. The Ronchi shearing interferometer does not have high requirements for the phase shifter. The grating displacement is on the order of hundreds of nm, so the phase shift error is small. Under the condition of ensuring a good measurement environment, the interaction of the grating multi-level diffracted light The influence can be regarded as the main error source of the Ronchi shearing interferometer, so the elimination of multi-level diffraction errors is the prerequisite for the Ronchi shearing interferometer to be used in the detection of wave aberrations in high-precision optical systems.

Joseph Braat等提出一种用扩展光源改进的朗奇剪切干涉仪(在先技术[1],Joseph Braat,Augustus J.E.Janssen,“Improved Ronchi test with extendedsource”,Journal of the Optical Society of America A Vol.16,No.1,1999,pp:131-140)。此干涉仪采用+1级与-1级衍射光的干涉进行提取相位,但没有考虑高次衍射级次的影响,从而引入了一定的系统误差,进而降低了位移的测量精度;并且该方法只适用于数值孔径较小的光学系统中,在对大数值孔径的光学系统的检测过程中会引入大量的测量误差。Joseph Braat etc. proposed a Ronchi shearing interferometer improved with extended light sources (prior technology [1], Joseph Braat, Augustus J.E. Janssen, "Improved Ronchi test with extended source", Journal of the Optical Society of America A Vol. 16, No.1, 1999, pp:131-140). This interferometer uses the interference of +1 order and -1 order diffracted light to extract the phase, but does not consider the influence of high-order diffraction orders, which introduces a certain systematic error and reduces the measurement accuracy of displacement; and this method only It is suitable for optical systems with small numerical apertures, and a large number of measurement errors will be introduced in the detection process of optical systems with large numerical apertures.

Yucong Zhu等提出一种二维光栅相移干涉仪的相位提取算法(在先技术[2],Yucong Zhu,Satoru Odate,Ayako Sugaya,et al.,“Method for designing phase-calculation algorithms for two-dimensional grating phase shiftinginterferometry”,Applied Optics,2011,50(18):p.2815-2822)。该二维光栅干涉仪采用物面光栅作为扩展光源,其周期为像面光栅周期与被测光学系统成像放大倍数的乘积,物面光栅和像面光栅都是正交光栅,算法只采用0级光与±1级的干涉进行相位提取,通过相移消除不需要的光栅±3级和±5级衍射项的影响。但是该方法以正交光栅作为物面光栅,对光场空间相干性的调制结果复杂,出现了许多x轴和y轴之外的衍射项,从而引入了大量的噪声项,严重影响检测精度。Yucong Zhu et al. proposed a phase extraction algorithm for a two-dimensional grating phase-shifting interferometer (prior technology [2], Yucong Zhu, Satoru Odate, Ayako Sugaya, et al., "Method for designing phase-calculation algorithms for two-dimensional grating phase shifting interferometry”, Applied Optics, 2011, 50(18): p.2815-2822). The two-dimensional grating interferometer uses the object plane grating as the extended light source, and its period is the product of the image plane grating period and the imaging magnification of the optical system under test. Both the object plane grating and the image plane grating are orthogonal gratings, and the algorithm only uses 0-level Phase extraction is carried out by the interference of light with ±1 order, and the influence of unwanted ±3 order and ±5 order diffraction items of the grating is eliminated by phase shifting. However, this method uses an orthogonal grating as the object plane grating, and the modulation result of the spatial coherence of the light field is complicated, and many diffraction items outside the x-axis and y-axis appear, thereby introducing a large number of noise items, which seriously affect the detection accuracy.

Matthieu Visser等提出一种应用于EUV光刻物镜波像差检测的扩展光源干涉仪(在先技术[3],Matthieu Visser,Martijn K.Dekker,Petra Hegeman,et al.,“Extendedsource interferometry for at-wavelength test of EUV-optics”,EmergingLithographic Technologies Iii,Pts 1and 2,1999.3676:p.253-263)。该干涉仪物面光栅和像面光栅都是采用一维朗奇光栅,采用5步相移法可以减小±3级与0级衍射光干涉引入的对相位提取的影响,但是难以消除其他较高级次的衍射项与0级的干涉。Matthieu Visser et al. proposed an extended source interferometer for EUV lithography objective lens wave aberration detection (prior technology [3], Matthieu Visser, Martijn K.Dekker, Petra Hegeman, et al., "Extended source interferometry for at- wavelength test of EUV-optics", Emerging Lithographic Technologies Iii, Pts 1 and 2, 1999.3676: p.253-263). Both the object plane grating and the image plane grating of the interferometer use one-dimensional Ronchi gratings, and the 5-step phase shift method can reduce the influence on phase extraction caused by the interference of ±3-order and 0-order diffracted light, but it is difficult to eliminate other relatively The higher order diffraction terms interfere with the 0th order.

发明内容Contents of the invention

本发明的目的在于克服上述在先技术的不足,提供一种基于朗奇剪切干涉仪的相位提取方法。该方法消除朗奇剪切干涉仪检测过程中像面光栅多级衍射光对相位提取精度的影响,提高被测光学系统的波像差检测准确度。The purpose of the present invention is to overcome the above-mentioned deficiencies in the prior art, and provide a phase extraction method based on the Ronchi shearing interferometer. The method eliminates the influence of the multi-level diffracted light of the image plane grating on the phase extraction accuracy during the detection process of the Ronchi shearing interferometer, and improves the wave aberration detection accuracy of the measured optical system.

本发明的技术解决方案如下:Technical solution of the present invention is as follows:

一种基于朗奇剪切干涉仪的相位提取方法,该方法采用的检测装置是朗奇剪切干涉仪,该朗奇剪切干涉仪的结构包括:沿光源输出光束方向依次是聚焦透镜、散射光学元件、一维衍射光栅板、被测光学系统平台、棋盘光栅和二维光电传感器;所述的一维衍射光栅板置于物面光栅位移台上,所述的棋盘光栅置于像方光栅位移台上,所述的二维光电传感器与计算机相连;A phase extraction method based on a Ronchi shearing interferometer. The detection device used in the method is a Ronchi shearing interferometer. The structure of the Ronchi shearing interferometer includes: along the output beam direction of a light source, a focusing lens, a scattering Optical elements, one-dimensional diffraction grating plate, measured optical system platform, checkerboard grating and two-dimensional photoelectric sensor; the one-dimensional diffraction grating plate is placed on the object plane grating displacement platform, and the checkerboard grating is placed on the image square grating On the displacement platform, the two-dimensional photoelectric sensor is connected with the computer;

所述的散射光学元件是毛玻璃、微透镜阵列等使照明光束在被测光学系统数值孔径内均匀照明的光学元件;The scattering optical element is an optical element such as frosted glass, a microlens array, etc., which can uniformly illuminate the illumination beam within the numerical aperture of the measured optical system;

所述的一维衍射光栅板由周期Po且占空比为50%的两个物面一维衍射光栅组成,分别是光栅线沿y方向的第一光栅和光栅线沿x方向的第二光栅。The one-dimensional diffraction grating plate is composed of two object-plane one-dimensional diffraction gratings with a period P o and a duty ratio of 50%, which are respectively the first grating with the grating lines along the y direction and the second grating with the grating lines along the x direction. raster.

所述的第一光栅和第二光栅是相位光栅或振幅光栅。The first grating and the second grating are phase gratings or amplitude gratings.

所述的物面一维衍射光栅的周期Po与所述的像面棋盘光栅的周期Pi满足如下关系,The period P o of the one-dimensional diffraction grating on the object plane and the period P i of the checkerboard grating on the image plane satisfy the following relationship,

Po=Pi·MP o =P i ·M

其中,M为被测光学系统的成像放大倍数;Among them, M is the imaging magnification of the optical system under test;

所述的被测光学系统数值孔径为NA,成像放大倍数为M:1;The numerical aperture of the measured optical system is NA, and the imaging magnification is M:1;

所述的棋盘光栅是具有棋盘形布局,透光单元与遮光单元均为大小相同的正方形,每个透光单元周围为4个遮光单元,每个遮光单元周围为4个透光单元;所述的棋盘光栅的周期Pi等于正方形的对角线长度;所述的棋盘光栅透光单元和遮光单元的对角线方向平行于x轴和y轴方向;周期Pi的大小由光源的波长λ、被测光学系统的数值孔径NA、剪切率s确定,The checkerboard grating has a checkerboard layout, the light-transmitting unit and the light-shielding unit are squares of the same size, and each light-transmitting unit is surrounded by 4 light-shielding units, and each light-shielding unit is surrounded by 4 light-transmitting units; The period P i of the checkerboard grating is equal to the diagonal length of the square; the diagonal direction of the checkerboard grating light-transmitting unit and the light-shielding unit is parallel to the x-axis and the y-axis direction; the size of the period P i is determined by the wavelength λ of the light source , the numerical aperture NA and the shear rate s of the optical system under test are determined,

所述的物面光栅位移台是将第一光栅和第二光栅分别移入被测光学系统物方光路的三维位移台;The object-plane grating displacement stage is a three-dimensional displacement stage that moves the first grating and the second grating into the object-side optical path of the optical system under test;

所述的像面光栅位移台是将棋盘光栅移入被测光学系统的像方光路,并带动像面棋盘光栅沿x方向和沿y方向步进运动的三维位移台;The image plane grating displacement stage is a three-dimensional displacement stage that moves the checkerboard grating into the image square optical path of the optical system under test, and drives the image plane checkerboard grating to move stepwise along the x direction and along the y direction;

所述的二维光电传感器是照相机、CCD、CMOS图像传感器,或二维光电探测器阵列,其探测面上接收像面棋盘光栅生成的剪切干涉条纹;The two-dimensional photoelectric sensor is a camera, a CCD, a CMOS image sensor, or a two-dimensional photodetector array, and its detection surface receives the shearing interference fringes generated by the checkerboard grating;

所述的计算机用于控制波像差检测过程、存储测量数据,并对干涉图进行处理与分析;The computer is used to control the wave aberration detection process, store measurement data, and process and analyze the interferogram;

利用上述用于消除朗奇剪切干涉仪多级衍射误差的相位提取方法,其特征在于该方法包括步骤如下:Utilize the above-mentioned phase extraction method for eliminating the multi-order diffraction error of Ronchi shearing interferometer, it is characterized in that the method comprises steps as follows:

1)将被测光学系统置于所述的被测光学系统平台上,调整朗奇剪切干涉仪,使所述的光源位于被测光学系统的物面,选择周期等于光源的波长λ除以两倍被测光学系统的数值孔径NA与剪切率s的乘积的像面棋盘光栅,再选择周期为被测光学系统工作距离处的放大倍数乘以像面光栅周期的一维衍射光栅板;一维衍射光栅板置于物面光栅位移台上,并调整到被测光学系统的物面上,移动物面光栅位移台,将一维衍射光栅板上的第一光栅移入被测光学系统的物方视场点位置;棋盘光栅置于像面光栅位移台上,并调整到被测光学系统的像面上,移动像面光栅位移台,将棋盘光栅移入被测光学系统的像方光路;1) Place the optical system under test on the platform of the optical system under test, adjust the Ronchi shearing interferometer so that the light source is located on the object plane of the optical system under test, and the selection period is equal to the wavelength λ of the light source divided by An image plane checkerboard grating that is twice the product of the numerical aperture NA of the optical system under test and the shear rate s, and then select a one-dimensional diffraction grating whose period is the magnification at the working distance of the optical system under test multiplied by the period of the image plane grating; The one-dimensional diffraction grating plate is placed on the object-plane grating displacement stage, and adjusted to the object surface of the optical system under test, and the object-plane grating displacement stage is moved to move the first grating on the one-dimensional diffraction grating plate into the optical system under test. The position of the field of view on the object side; the checkerboard grating is placed on the image plane grating translation platform, and adjusted to the image plane of the optical system under test, and the image plane grating translation platform is moved to move the checkerboard grating into the image side optical path of the optical system under test;

2)调整物面光栅位移台和像面光栅位移平台,对准第一光栅和棋盘光栅,并调整二维光电传感器的位置,使探测面上获得条纹清晰的干涉图;2) Adjust the object plane grating displacement platform and the image plane grating displacement platform, align with the first grating and the checkerboard grating, and adjust the position of the two-dimensional photoelectric sensor to obtain an interference pattern with clear stripes on the detection surface;

3)像面光栅位移台沿x方向移动棋盘光栅,移动9次,每次移动1/8光栅周期,每次移动后二维光电传感器采集一幅剪切干涉图Ixk,其中k=1,2,3…,9;根据9幅干涉条纹图,按下列公式计算相位:3) The image plane grating translation stage moves the checkerboard grating along the x direction, moves 9 times, each time moves 1/8 grating period, after each movement, the two-dimensional photoelectric sensor collects a shearing interferogram I xk , where k=1, 2,3...,9; According to the 9 interference fringe patterns, the phase is calculated according to the following formula:

其中,为被测波前沿x方向的相位,代表被测波前在x方向上的梯度信息;in, is the phase of the measured wave front in the x direction, representing the gradient information of the measured wave front in the x direction;

4)移动所述的物面光栅位移台,将一维衍射光栅板上的第二光栅移入被测光学系统的物方视场点位置,重新调整物面光栅位移台和像面光栅位移平台,对准第二光栅和棋盘光栅;4) moving the object-plane grating displacement stage, moving the second grating on the one-dimensional diffraction grating plate into the position of the object field of view of the optical system under test, readjusting the object-plane grating displacement stage and the image plane grating displacement platform, Align the second grating with the checkerboard grating;

5)像面光栅位移台沿y方向移动棋盘光栅,移动9次,每次移动1/8光栅周期,每次移动后二维光电传感器采集一幅剪切干涉图Iyk,其中k=1,2,3…,9;根据9幅干涉条纹图,按下列公式计算相位:5) The image plane grating translation stage moves the checkerboard grating along the y direction, and moves 9 times, each time moving 1/8 of the grating period. After each movement, the two-dimensional photoelectric sensor collects a shearing interferogram I yk , where k=1, 2,3...,9; According to the 9 interference fringe patterns, the phase is calculated according to the following formula:

其中,为被测波前沿y方向的相位,代表被测波前在y方向上的梯度信息;in, is the phase of the measured wave front in the y direction, representing the gradient information of the measured wave front in the y direction;

6)对上述相位提取结果解包裹,分别得到x方向和y方向的差分波前ΔWx和ΔWy进行剪切干涉波前重建,获得被测光学系统波前(参见在先技术4,Harbers,G.,P.J.Kunst,and G.W.R.Leibbrandt,Analysis of lateral shearing interferograms by use ofZernike polynomials.Applied Optics,1996.35(31):p.6162-6172)。6) Unwrapping the above phase extraction results to obtain the differential wavefronts ΔW x and ΔW y in the x-direction and y-direction respectively. Perform shear interference wavefront reconstruction to obtain the wavefront of the optical system under test (see prior art 4, Harbers, G., PJ Kunst, and GWR Leibbrandt, Analysis of lateral shearing interferograms by use of Zernike polynomials. Applied Optics, 1996.35(31): p.6162-6172).

与在先技术相比,本发明具有以下优点:Compared with the prior art, the present invention has the following advantages:

1.与在先技术[1]相比,考虑了高次衍射级次的影响,提高了光学系统波像差的测量精度,并可以实现大数值孔径光学系统波像差的精确测量。1. Compared with the prior art [1], the influence of high-order diffraction orders is considered, the measurement accuracy of the wave aberration of the optical system is improved, and the accurate measurement of the wave aberration of the optical system with a large numerical aperture can be realized.

2.与在先技术[2]相比,本发明采用物面一维朗奇光栅调制光场空间相干性,不存在其他噪声项与0级和±1级干涉条纹重叠的问题,误差项少、精度高。2. Compared with the prior art [2], the present invention uses a one-dimensional Ronchi grating on the object plane to modulate the spatial coherence of the light field, and there is no problem that other noise items overlap with 0-order and ±1-order interference fringes, and there are few error terms ,High precision.

3.与在先技术[3]相比,本发明可以较好地消除除了0级与±1级外的较高级次衍射项,可以很好地消除朗奇剪切干涉中多级衍射光干涉造成的对相位提取精度的影响。3. Compared with the prior art [3], the present invention can better eliminate the higher-order diffraction items except the 0th order and ±1 order, and can well eliminate the multi-order diffracted light interference in the Ronchi shear interference The impact on the phase extraction accuracy is caused.

附图说明Description of drawings

图1为本发明采用的朗奇剪切干涉仪装置示意图;Fig. 1 is the Ronchi shear interferometer device schematic diagram that the present invention adopts;

图2为物面一维衍射光栅板示意图;Figure 2 is a schematic diagram of a one-dimensional diffraction grating plate on the object plane;

图3(a)为棋盘光栅的示意图,图3(b)为棋盘光栅的衍射光强分布图。Fig. 3(a) is a schematic diagram of a checkerboard grating, and Fig. 3(b) is a distribution diagram of diffracted light intensity of a checkerboard grating.

图4(a)为调制光场空间相干性后的可发生干涉的衍射级次示意图,图4(b)为剪切干涉示意图。Figure 4(a) is a schematic diagram of diffraction orders that can interfere after modulating the spatial coherence of the light field, and Figure 4(b) is a schematic diagram of shear interference.

具体实施方式detailed description

为使本发明的内容、实施过程和优点更加清楚,下面结合实施例和附图对本发明作进一步说明,但不应以此实施例限制本发明的保护范围。In order to make the content, implementation process and advantages of the present invention clearer, the present invention will be further described below in conjunction with the examples and drawings, but the examples should not limit the protection scope of the present invention.

本发明采用的朗奇剪切干涉仪装置示意图1所示。由图可见,本发明采用的检测装置是朗奇剪切干涉仪,该朗奇剪切干涉仪的结构包括:沿光源1输出光束方向依次是聚焦透镜2、散射光学元件3、一维衍射光栅板4、被测光学系统平台、棋盘光栅7和二维光电传感器9;所述的一维衍射光栅板4置于物面光栅位移台5上,所述的棋盘光栅7置于像面光栅位移台8上,所述的二维光电传感器9与计算机10相连;The Ronchi shearing interferometer device used in the present invention is shown in schematic diagram 1. It can be seen from the figure that the detection device adopted in the present invention is a Ronchi shearing interferometer, and the structure of the Ronchi shearing interferometer includes: along the output beam direction of the light source 1, a focusing lens 2, a scattering optical element 3, and a one-dimensional diffraction grating Plate 4, measured optical system platform, checkerboard grating 7 and two-dimensional photoelectric sensor 9; the one-dimensional diffraction grating plate 4 is placed on the object plane grating displacement table 5, and the checkerboard grating 7 is placed on the image plane grating displacement On the platform 8, the two-dimensional photoelectric sensor 9 is connected with the computer 10;

所述的散射光学元件3是毛玻璃、微透镜阵列等使照明光束在被测光学系统6数值孔径内均匀照明的光学元件;The scattering optical element 3 is an optical element such as ground glass, a microlens array, etc. that make the illumination beam evenly illuminated within the numerical aperture of the measured optical system 6;

所述的一维衍射光栅板4(参见图2)由周期Po且占空比为50%的两个物面一维衍射光栅组成,分别是光栅线沿y方向的第一光栅401和光栅线沿x方向的第二光栅402。Described one-dimensional diffraction grating plate 4 (referring to Fig. 2) is made up of two object plane one-dimensional diffraction gratings of period P o and duty cycle is 50%, is respectively the first grating 401 and grating line along y direction of grating Lines of the second grating 402 along the x-direction.

所述的第一光栅401和第二光栅402是相位光栅或振幅光栅。The first grating 401 and the second grating 402 are phase gratings or amplitude gratings.

所述的物面一维衍射光栅的周期Po与所述的棋盘光栅7的周期Pi满足如下关系,The period P o of the one-dimensional diffraction grating on the object plane and the period P i of the checkerboard grating 7 satisfy the following relationship,

Po=Pi·MP o =P i ·M

其中,M为被测光学系统6的成像放大倍数。Wherein, M is the imaging magnification of the optical system 6 under test.

所述的被测光学系统6数值孔径为NA,成像放大倍数为M:1;The numerical aperture of the measured optical system 6 is NA, and the imaging magnification is M:1;

所述的棋盘光栅7是具有棋盘形布局,透光单元与遮光单元均为大小相同的正方形,每个透光单元周围为4个遮光单元,每个遮光单元周围为4个透光单元。对于振幅型棋盘光栅,其透射率函数为The checkerboard grating 7 has a checkerboard layout, the light-transmitting unit and the light-shielding unit are squares of the same size, and each light-transmitting unit is surrounded by 4 light-shielding units, and each light-shielding unit is surrounded by 4 light-transmitting units. For the amplitude checkerboard grating, the transmittance function is

其中,Pi为光栅沿x和y方向上的周期,N为光栅周期数。Among them, P i is the period of the grating along the x and y directions, and N is the period number of the grating.

棋盘光栅7在远场的衍射光强函数为The diffraction light intensity function of the checkerboard grating 7 in the far field is

I(ξ,η)=I0·|[sinc(ξ,η)]{1+exp[-j2π(ξ,η)]}×comb(2ξ,2η)*sinc(2Nξ,2Nη)|2 I(ξ,η)=I 0 |[sinc(ξ,η)]{1+exp[-j2π(ξ,η)]}×comb(2ξ,2η)*sinc(2Nξ,2Nη)| 2

其中,I(ξ,η)为远场衍射光强函数,I0为0级衍射光强。在理想情况下,棋盘光栅只有0级和奇数衍射级,且光能主要集中于0级与±1级上,各奇数衍射级在远场与0级产生干涉。受到棋盘光栅的作用,被测波面在重叠区域产生与x轴方向成45°角的剪切波面,在剪切方向上等效光栅的周期为棋盘光栅每个单元结构正方形边长的倍。Among them, I(ξ,η) is the far-field diffraction light intensity function, and I 0 is the 0th order diffraction light intensity. In an ideal situation, the checkerboard grating has only 0 order and odd diffraction orders, and the light energy is mainly concentrated on the 0 order and ±1 order, and each odd diffraction order interferes with the 0 order in the far field. Affected by the checkerboard grating, the measured wave surface generates a shear wave surface at an angle of 45° to the x-axis direction in the overlapping area. The period of the equivalent grating in the shear direction is the length of the square side of each unit structure of the checkerboard grating times.

所述的棋盘光栅7放置成透光单元和遮光单元的对角线方向平行于x轴和y轴方向的状态(参见图3(a)),沿x方向和y方向看都是朗奇光栅,占空比为50%。The checkerboard grating 7 is placed in a state where the diagonal direction of the light-transmitting unit and the light-shielding unit is parallel to the x-axis and y-axis directions (see FIG. 3(a)), and it is a Ronchi grating when viewed along the x-direction and y-direction , the duty cycle is 50%.

实施例:Example:

朗奇剪切干涉仪中,光源1输出光的波长为193nm,被测光学系统6的数值孔径为0.75,成像放大倍率为4×,设置剪切率为1/30,选择棋盘光栅7的周期Pi为3.86μm,物面一维衍射光栅周期为Po为15.44μm。In the Ronchi shearing interferometer, the wavelength of light output by the light source 1 is 193nm, the numerical aperture of the measured optical system 6 is 0.75, the imaging magnification is 4×, the shear rate is set to 1/30, and the period of the checkerboard grating 7 is selected P i is 3.86 μm, and the object plane one-dimensional diffraction grating period is P o is 15.44 μm.

所述的物面光栅位移台5是将第一光栅401和第二光栅402分别移入被测光学系统6物方光路的三维位移台;The object plane grating translation stage 5 is a three-dimensional translation stage that moves the first grating 401 and the second grating 402 into the optical path of the measured optical system 6 objects;

所述的像面光栅位移台8是将棋盘光栅7移入被测光学系统6的像方光路,并带动棋盘光栅7沿x方向和沿y方向的1/8光栅周期步进运动的三维位移台;The image plane grating displacement stage 8 is a three-dimensional displacement stage that moves the checkerboard grating 7 into the image square optical path of the measured optical system 6, and drives the checkerboard grating 7 to move along the x direction and along the 1/8 grating period of the y direction. ;

所述的二维光电传感器9是照相机、CCD、CMOS图像传感器,或二维光电探测器阵列,其探测面上接收棋盘光栅7生成的剪切干涉条纹;The two-dimensional photoelectric sensor 9 is a camera, a CCD, a CMOS image sensor, or a two-dimensional photodetector array, and its detection surface receives the shearing interference fringes generated by the checkerboard grating 7;

所述的计算机10用于控制波像差检测过程、存储测量数据,并对干涉图进行处理与分析。The computer 10 is used to control the wave aberration detection process, store measurement data, and process and analyze the interferogram.

利用上述用于消除朗奇剪切干涉仪多级衍射误差的相位提取方法,其特征在于该方法包含下列步骤:Utilize the above-mentioned phase extraction method for eliminating the Ronchi shearing interferometer multi-order diffraction error, it is characterized in that the method comprises the following steps:

1)将被测光学系统6置于所述的被测光学系统平台上,调整朗奇剪切干涉仪,使所述的光源1位于被测光学系统6的物面,选择周期等于光源1的波长λ除以两倍被测光学系统6的数值孔径NA与剪切率s的乘积的棋盘光栅7,再选择周期为被测光学系统6工作距离处的放大倍数乘以棋盘光栅7周期的一维衍射光栅板4;一维衍射光栅板4置于物面光栅位移台5上,并调整到被测光学系统6的物面上,移动物面光栅位移台5,将一维衍射光栅板4上的第一光栅401移入被测光学系统6的物方视场点位置;棋盘光栅7置于像面光栅位移台8上,并调整到被测光学系统6的像面上,移动像面光栅位移台8,将棋盘光栅7移入被测光学系统6的像方光路;1) Place the optical system under test 6 on the platform of the optical system under test, adjust the Ronchi shearing interferometer so that the light source 1 is located on the object plane of the optical system under test 6, and the selection period is equal to that of the light source 1 The wavelength λ is divided by twice the numerical aperture NA of the measured optical system 6 and the shear rate s of the checkerboard grating 7, and then the selected period is the magnification at the working distance of the measured optical system 6 multiplied by one period of the checkerboard grating 7 One-dimensional diffraction grating plate 4; the one-dimensional diffraction grating plate 4 is placed on the object plane grating displacement table 5, and adjusted to the object plane of the measured optical system 6, the object plane grating displacement table 5 is moved, and the one-dimensional diffraction grating plate 4 The first grating 401 on the top moves into the position of the object field of view of the optical system under test 6; the checkerboard grating 7 is placed on the image plane grating displacement table 8, and adjusted to the image plane of the optical system under test 6, and the image plane grating is moved The displacement stage 8 moves the checkerboard grating 7 into the image square optical path of the measured optical system 6;

2)调整物面光栅位移台5和像面光栅位移台8,对准第一光栅401和棋盘光栅7,并调整二维光电传感器9的位置,使探测面上获得条纹清晰的干涉图;2) Adjust the object plane grating displacement stage 5 and the image plane grating displacement stage 8, align the first grating 401 and the checkerboard grating 7, and adjust the position of the two-dimensional photoelectric sensor 9, so that the interference pattern with clear stripes is obtained on the detection surface;

3)像面光栅位移台8沿x方向移动棋盘光栅7,移动9次,每次移动1/8光栅周期,每次移动后二维光电传感器9采集一幅剪切干涉图Ixk,其中k=1,2,3…,9;根据9幅干涉条纹图,按下列公式计算相位:3) The image plane grating displacement stage 8 moves the checkerboard grating 7 along the x direction, moves 9 times, and moves 1/8 grating period each time, after each movement, the two-dimensional photoelectric sensor 9 collects a shearing interferogram I xk , where k =1,2,3...,9; According to 9 interference fringe patterns, the phase is calculated according to the following formula:

其中,为被测波前沿x方向的相位,代表被测波前在x方向上的梯度信息;in, is the phase of the measured wave front in the x direction, representing the gradient information of the measured wave front in the x direction;

4)移动所述的物面光栅位移台5,将一维衍射光栅板4上的第二光栅402移入被测光学系统6的物方视场点位置,重新调整物面光栅位移台5和像面光栅位移台8,对准第二光栅402和棋盘光栅7;4) Move the object plane grating displacement stage 5, move the second grating 402 on the one-dimensional diffraction grating plate 4 into the object side field of view point position of the measured optical system 6, readjust the object plane grating displacement stage 5 and the image Surface grating translation stage 8, aligned with second grating 402 and checkerboard grating 7;

5)像面光栅位移台8沿y方向移动棋盘光栅7,移动9次,每次移动1/8光栅周期,每次移动后二维光电传感器9采集一幅剪切干涉图Iyk,其中k=1,2,3…,9;根据9幅干涉条纹图,按下列公式计算相位:5) The image plane grating displacement table 8 moves the checkerboard grating 7 along the y direction, and moves 9 times, each time moving 1/8 grating period, after each movement, the two-dimensional photoelectric sensor 9 collects a shearing interferogram I yk , where k =1,2,3...,9; According to 9 interference fringe patterns, the phase is calculated according to the following formula:

其中,为被测波前沿y方向的相位,代表被测波前在y方向上的梯度信息;in, is the phase of the measured wave front in the y direction, representing the gradient information of the measured wave front in the y direction;

6)对上述相位提取结果解包裹,分别得到x方向和y方向的差分波前ΔWx和ΔWy进行剪切干涉波前重建,获得被测光学系统6波前。6) Unpack the above phase extraction results to obtain the differential wavefronts ΔW x and ΔW y in the x-direction and y-direction respectively, and perform shearing interference wavefront reconstruction to obtain 6 wavefronts of the optical system under test.

上述相位提取方法消除朗奇剪切干涉仪多级衍射误差的具体理论论述如下:The specific theoretical discussion of the above phase extraction method to eliminate the multi-level diffraction error of the Ronchi shearing interferometer is as follows:

根据朗奇剪切干涉仪原理,当不考虑物面一维衍射光栅对空间相干性的调制时,采用棋盘光栅7,在探测平面上的光强为According to the principle of the Ronchi shearing interferometer, when the modulation of the spatial coherence by the one-dimensional diffraction grating on the object plane is not considered, the checkerboard grating 7 is used, and the light intensity on the detection plane is

其中,a0为背景光强,aij为光栅在x轴方向上衍射的第i级与y轴方向上衍射的第j级的干涉条纹对比度,为对应两个衍射级次的相位差;i为沿x轴方向上的第0、m或m′衍射级,j为沿y轴方向上的第0、n或n′衍射级,k、k′、l、l′都是非零整数。Among them, a 0 is the background light intensity, a ij is the interference fringe contrast between the i-th order diffracted by the grating in the x-axis direction and the j-th order diffracted in the y-axis direction, is the phase difference corresponding to two diffraction orders; i is the 0th, m or m' diffraction order along the x-axis direction, j is the 0th, n or n' diffraction order along the y-axis direction, k, k ', l, l' are all non-zero integers.

根据“范西泰特——泽尼克定理”可知,光场的空间相干性等于光源强度分布的傅里叶变换,因此受到物面一维衍射光栅对空间相干性的调制作用,当物面一维衍射光栅是光栅线沿y方向、占空比为50%的第一光栅401时,x方向上的空间相干性是第一光栅401的傅里叶变换对应值;而y方向上光场仍然是非相干的,所以y方向上不发生干涉(参见图4),则光强的表达式改写为According to the "Van Sittert-Zernik Theorem", the spatial coherence of the light field is equal to the Fourier transform of the intensity distribution of the light source, so it is modulated by the one-dimensional diffraction grating on the object surface. When the one-dimensional diffraction grating on the object surface When the grating is the first grating 401 whose grating lines are along the y direction and the duty ratio is 50%, the spatial coherence in the x direction is the Fourier transform corresponding value of the first grating 401; while the light field in the y direction is still incoherent , so there is no interference in the y direction (see Figure 4), then the expression of light intensity is rewritten as

其中,a0为背景光强,am0为光栅在x方向上衍射的第m级衍射与0级的干涉条纹对比度,为光栅在x方向上的第m级衍射与0级间的相位差。其中相位差分别为Among them, a 0 is the background light intensity, a m0 is the contrast ratio between the mth order diffraction and the 0th order interference fringe diffracted by the grating in the x direction, is the phase difference between the mth order diffraction and the 0th order of the grating in the x direction. where the phase difference is

其中,W(x,y)为波前函数,λ为波长,S为剪切量。考虑相移时,光强表达式可改写为Among them, W(x,y) is the wavefront function, λ is the wavelength, and S is the shear amount. When considering the phase shift, the light intensity expression can be rewritten as

其中,δ为相移干涉中棋盘光栅7沿剪切方向移动每一步引起的1级衍射的相移量,则mδ表示光栅沿剪切方向移动时第m级衍射的相移量,为在x方向上的第m级衍射与0级间的相位差。由于棋盘光栅衍射第5级以上的衍射光强小于0级光的1%,基本不影响测量结果,因此可以忽略高于5级衍射光的影响。光强表达式可以写为Among them, δ is the phase shift amount of the first-order diffraction caused by each step of the checkerboard grating 7 moving along the shear direction in the phase-shift interference, and then mδ represents the phase shift amount of the m-th order diffraction when the grating moves along the shear direction, is the phase difference between the mth order diffraction and the 0th order in the x direction. Since the intensity of the diffraction light above the 5th order of the checkerboard grating is less than 1% of the 0th order light, it basically does not affect the measurement results, so the influence of the diffraction light above the 5th order can be ignored. The light intensity expression can be written as

其中,k=1,2,3…,N,表示第k步相移,N为总相移步数;为在x方向上的第m级衍射与0级间的相位差,m=±1,±3,±5;δk为相移量。Among them, k=1,2,3...,N, represents the phase shift of the kth step, and N is the total number of phase shift steps; is the phase difference between the mth order diffraction and the 0th order in the x direction, m=±1,±3,±5; δ k is the amount of phase shift.

为了抑制光栅多级衍射光对相位提取精度的影响,采集相移间隔的干涉图,即每一步相移量分别为的9幅干涉图,其中j=0,1,2…8。则各步光强为In order to suppress the influence of grating multi-level diffracted light on the phase extraction accuracy, the phase shift interval The interferogram of , that is, the phase shift of each step is 9 interferograms of , where j=0,1,2...8. Then the light intensity of each step is

根据式(6)~(14)可以求出:According to formulas (6)~(14), it can be obtained:

由于当不考虑相移时,处于小剪切量情况下满足Since when the phase shift is not considered, the condition of small shear amount satisfies

且系数a1和a-1等于光场的空间相干度,对于朗奇剪切干涉仪有a1=a-1,则被测光学系统6沿x方向的相位 And the coefficients a 1 and a -1 are equal to the spatial coherence of the light field. For the Ronchi shearing interferometer, a 1 = a -1 , then the phase of the measured optical system 6 along the x direction

为了恢复被测光学系统6的二维原始波前,将物面一维衍射光栅切换为光栅线沿x方向的第二光栅402,同理求出被测光学系统6沿y方向的相位 分别代表被测波前在x方向和y方向上的梯度信息。对上述相位提取结果解包裹,分别得到x方向和y方向的差分波前ΔWx和ΔWy进行剪切干涉波前重建,获得被测光学系统6波前。In order to restore the two-dimensional original wavefront of the optical system under test 6, the one-dimensional diffraction grating on the object plane is switched to the second grating 402 whose grating lines are along the x direction, and the phase of the optical system under test 6 along the y direction is calculated similarly with Represent the gradient information of the measured wavefront in the x direction and y direction, respectively. Unpack the above phase extraction results to obtain the differential wavefronts ΔW x and ΔW y in the x-direction and y-direction respectively, and perform shearing interference wavefront reconstruction to obtain 6 wavefronts of the optical system under test.

本发明应用于朗奇剪切干涉仪检测被测光学系统的波像差,可以有效消除光栅多级衍射光干涉对相位提取精度的影响,提高了被测光学系统的波像差检测准确度。The invention is applied to the Ronchi shearing interferometer to detect the wave aberration of the measured optical system, can effectively eliminate the influence of grating multi-level diffracted light interference on the phase extraction accuracy, and improve the wave aberration detection accuracy of the measured optical system.

本技术领域中的普通技术人员应该认识到,以上实施例仅是用来说明本发明,而并非作为对本发明的限定,只要在本发明的实质精神范围内,对以上所述实施例的变化和变形,都属于本发明权利要求书的范围之内。Those of ordinary skill in the art should recognize that the above embodiments are only used to illustrate the present invention, rather than as a limitation of the present invention, as long as within the scope of the spirit of the present invention, the changes and The deformations all belong to the scope of the claims of the present invention.

Claims (1)

1.一种基于朗奇剪切干涉仪的相位提取方法,该方法采用的检测装置是朗奇剪切干涉仪,该朗奇剪切干涉仪的结构包括:沿光源(1)输出光束方向依次是聚焦透镜(2)、散射光学元件(3)、一维衍射光栅板(4)、被测光学系统平台、棋盘光栅(7)和二维光电传感器(9);所述的一维衍射光栅板(4)置于物面光栅位移台(5)上,所述的棋盘光栅(7)置于像面光栅位移台(8)上,所述的二维光电传感器(9)与计算机(10)相连;其特征在于该方法的步骤如下:1. A phase extraction method based on a Ronchi shearing interferometer, the detection device used in the method is a Ronchi shearing interferometer, and the structure of this Ronchi shearing interferometer comprises: along the output beam direction of the light source (1) sequentially It is a focusing lens (2), a scattering optical element (3), a one-dimensional diffraction grating plate (4), a measured optical system platform, a checkerboard grating (7) and a two-dimensional photoelectric sensor (9); the one-dimensional diffraction grating The plate (4) is placed on the object plane grating displacement platform (5), the checkerboard grating (7) is placed on the image plane grating displacement platform (8), and the two-dimensional photoelectric sensor (9) and the computer (10 ) is connected; it is characterized in that the steps of the method are as follows: ①将被测光学系统(6)置于所述的被测光学系统平台上,调整朗奇剪切干涉仪,使所述的光源(1)位于被测光学系统(6)的物方,选择周期等于光源(1)的波长λ除以两倍被测光学系统(6)的数值孔径NA与剪切率s的乘积的像面棋盘光栅(7),再选择周期为被测光学系统(6)工作距离处的放大倍数乘以像面光栅(7)周期的一维衍射光栅板(4);一维衍射光栅板(4)置于物面光栅位移台(5)上,并调整到被测光学系统(6)的物面上,移动物面光栅位移台(5),将一维衍射光栅板(4)上的第一光栅(401)移入被测光学系统(6)的物方视场点位置;棋盘光栅(7)置于像面光栅位移台(8)上,并调整到被测光学系统(6)的像面上,移动像面光栅位移台(8),将棋盘光栅(7)移入被测光学系统(6)的像方光路,所述的一维衍射光栅板由周期Po且占空比为50%的两个物面一维衍射光栅组成,分别是光栅线沿y方向的第一光栅(401)和光栅线沿x方向的第二光栅(402),所述的棋盘光栅(701)放置成透光单元和遮光单元的对角线方向平行于x轴和y轴方向的状态,沿x方向和y方向看都是朗奇光栅,占空比为50%;① Place the measured optical system (6) on the measured optical system platform, adjust the Ronchi shearing interferometer so that the described light source (1) is located on the object side of the measured optical system (6), select The period is equal to the wavelength λ of the light source (1) divided by the image plane checkerboard grating (7) of the product of twice the numerical aperture NA of the optical system under test (6) and the shear rate s, and then the period is selected as the optical system under test (6 ) multiply the magnification at the working distance by the one-dimensional diffraction grating plate (4) of the period of the image plane grating (7); the one-dimensional diffraction grating plate (4) is placed on the object plane grating displacement stage (5), and adjusted to On the object plane of the measuring optical system (6), move the object plane grating displacement stage (5), and move the first grating (401) on the one-dimensional diffraction grating plate (4) into the object side view of the measured optical system (6). Field point position; the checkerboard grating (7) is placed on the image plane grating displacement platform (8), and is adjusted to the image plane of the measured optical system (6), and the image plane grating displacement platform (8) is moved, and the checkerboard grating ( 7) Move into the optical path of the image side of the measured optical system (6), the one-dimensional diffraction grating plate is composed of two object plane one-dimensional diffraction gratings with a period P o and a duty ratio of 50%. The first grating (401) in the y direction and the second grating (402) whose grating lines are along the x direction, the checkerboard grating (701) is placed so that the diagonal direction of the light-transmitting unit and the light-shielding unit is parallel to the x-axis and y-axis The state in the axial direction is a Ronchi grating viewed along the x and y directions, with a duty cycle of 50%; ②调整物面光栅位移台(5)和像面光栅位移台(8),对准第一光栅(401)和棋盘光栅(701),并调整二维光电传感器(9)的位置,使探测面上获得条纹清晰的干涉图;②Adjust the object plane grating translation stage (5) and the image plane grating translation stage (8), align with the first grating (401) and checkerboard grating (701), and adjust the position of the two-dimensional photoelectric sensor (9) so that the detection surface Interferograms with clear fringes are obtained; ③像面光栅位移台(8)沿x方向移动棋盘光栅(701),移动9次,每次移动1/8光栅周期,每次移动后二维光电传感器(9)采集一幅剪切干涉图Ixk,其中根据9幅干涉条纹图,按下列公式计算相位:③The image plane grating translation stage (8) moves the checkerboard grating (701) along the x direction, moving 9 times, each time moving 1/8 grating period, after each movement, the two-dimensional photoelectric sensor (9) collects a shearing interferogram I xk , where According to the 9 interference fringe images, the phase is calculated according to the following formula: 其中,为被测波前沿x方向的相位,代表被测波前在x方向上的梯度信息;in, is the phase of the measured wave front in the x direction, representing the gradient information of the measured wave front in the x direction; ④移动所述的物面光栅位移台(5),将一维衍射光栅板(4)上的第二光栅(402)移入被测光学系统(6)的物方视场点位置,重新调整物面光栅位移台(5)和像面光栅位移平台(8),对准第二光栅(402)和棋盘光栅(701);④ Move the object plane grating displacement stage (5), move the second grating (402) on the one-dimensional diffraction grating plate (4) into the object field point position of the measured optical system (6), and readjust the object position. The surface grating displacement platform (5) and the image plane grating displacement platform (8) are aligned with the second grating (402) and the checkerboard grating (701); ⑤像面光栅位移台(8)沿y方向移动棋盘光栅(701),移动9次,每次移动1/8光栅周期,每次移动后二维光电传感器(9)采集一幅剪切干涉图Iyk,其中根据9幅干涉条纹图,按下列公式计算相位:⑤The image plane grating translation stage (8) moves the checkerboard grating (701) along the y direction, moving 9 times, each time moving 1/8 grating period, after each movement, the two-dimensional photoelectric sensor (9) collects a shearing interferogram I yk , where According to the 9 interference fringe images, the phase is calculated according to the following formula: 其中,为被测波前沿y方向的相位,代表被测波前在y方向上的梯度信息;in, is the phase of the measured wave front in the y direction, representing the gradient information of the measured wave front in the y direction; ⑥对上述相位提取结果解包裹,分别得到x方向和y方向的差分波前ΔWx和ΔWy进行剪切干涉波前重建,获得被测光学系统(6)波前。⑥ Unwrap the above phase extraction results to obtain the differential wavefronts ΔW x and ΔW y in the x-direction and y-direction respectively, and perform shearing interference wavefront reconstruction to obtain the wavefront of the optical system under test (6).
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