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CN111366099B - Pre-analysis-based interference weighted sampling dephasing analysis method and measurement system under any cavity length - Google Patents

Pre-analysis-based interference weighted sampling dephasing analysis method and measurement system under any cavity length Download PDF

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CN111366099B
CN111366099B CN202010227556.XA CN202010227556A CN111366099B CN 111366099 B CN111366099 B CN 111366099B CN 202010227556 A CN202010227556 A CN 202010227556A CN 111366099 B CN111366099 B CN 111366099B
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algorithm
cavity length
guide rail
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CN111366099A (en
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常林
孙涛
于瀛洁
王陈
郑维伟
徐瞿磊
闫恪涛
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University of Shanghai for Science and Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
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Abstract

本发明公开了一种基于预分析的任意腔长下干涉加权采样解相分析方法及测量系统,针对的多表面透明被测件为透明平行平板,通过预先对加权多步解相算法进行分析,将可用参数与对应的腔长系数与算法所必须的移相参考系数储存在算法库的预分析矩阵中;利用该算法进行解相时直接调用算法库中相应的参数值并且自动地通过测距传感器对被测件到参考镜前表面的距离值,对腔长值进行测量,突破了固定的算法只能应用于固定腔长下的测量局限性问题,实现了算法便捷设计;本发明测量系统主要包括激光测距传感器、夹具组合与导轨的配合装置,夹具组合包括夹具以及导轨架。本发明导轨架能辅助激光测距传感器实现被测件距离的自动测量,易于操作,测量精度高。

Figure 202010227556

The invention discloses a pre-analysis based interferometric weighted sampling dephasing analysis method and measurement system under any cavity length. The multi-surface transparent measured component is a transparent parallel plate. By pre-analyzing the weighted multi-step dephasing algorithm, Store the available parameters, the corresponding cavity length coefficients and the phase-shifting reference coefficients necessary for the algorithm in the pre-analysis matrix of the algorithm library; when using this algorithm to solve the phase, the corresponding parameter values in the algorithm library are directly called and automatically pass the distance measurement. The sensor measures the distance value from the measured part to the front surface of the reference mirror and the cavity length value, which breaks through the limitation of the fixed algorithm that can only be applied to the measurement under the fixed cavity length, and realizes the convenient design of the algorithm; the measuring system of the present invention It mainly includes a laser ranging sensor, a fixture combination and a matching device for a guide rail, and the fixture combination includes a fixture and a guide rail frame. The guide rail frame of the invention can assist the laser ranging sensor to realize the automatic measurement of the distance of the measured object, is easy to operate, and has high measurement accuracy.

Figure 202010227556

Description

基于预分析的任意腔长下干涉加权采样解相分析方法及测量 系统Interferometric weighted sampling solution phase analysis method and measurement system based on pre-analysis under arbitrary cavity length

技术领域technical field

本发明涉及一种光学干涉测量方法及装置,特别是涉及一种干涉加权采样解相分析方法及测量装置,应用于光学测量技术技术领域。The invention relates to an optical interferometric measurement method and device, in particular to an interference weighted sampling dephase analysis method and a measurement device, which are applied to the technical field of optical measurement technology.

背景技术Background technique

光学干涉测量技术是一种以光的波动性原理为基础,可实现精度达纳米及至亚纳米量级的测量方法,是公认的检测光学元件、光学系统相关参数最准确和最有效的非接触式测量方式之一。在干涉测量中,目前主流的测量方法是基于压电陶瓷的PZT(Piezoelectric Transducer,PZT)移相技术,这种技术应用时间较长,技术比较成熟。但是因为PZT移相过程中会产生硬件误差以及机械应力误差,因此这种技术无法应对更高精度的测量要求(如纳米级)。特别是对于透明平行平晶的多表面干涉测量来说,该种样品的测量要求非常高,现有的测量办法一般需要根据移相频率的不同来对多表面干涉信号进行分离(通过设置腔长系数,即干涉腔长与厚度和折射率的之积的比值),因此若误差较大则无法同时完成透明多表面样品的分离与测量。同时,测量平行透射薄板、半导体基片镀膜等多表面透明元件时,由于前、后表面会形成一组自干涉条纹,并且元件的前后表面分别与参考镜发生干涉,又产生两组条纹。此三组干涉条纹最终形成叠加交叉干涉条纹,若用传统移相算法计算多表面干涉条纹时将产生很大的误差。而目前常用的技术有基于偏振光的椭偏仪进行逐点扫描测量以及白光干涉等方法。现在工业应用时常用的方法是在平板后表面涂上与材料折射率匹配的消光漆或凡士林来逐次进行各表面的测量,以消除后表面的反射对测量的影响,但是这种方法会对元件表面造成损伤,并且无法同时测量多表面的形貌。Optical interferometry is a measurement method based on the wave nature of light, which can achieve nanometer and sub-nanometer precision. one of the measurement methods. In interferometric measurement, the current mainstream measurement method is the PZT (Piezoelectric Transducer, PZT) phase-shifting technology based on piezoelectric ceramics, which has been used for a long time and the technology is relatively mature. However, because of the hardware errors and mechanical stress errors generated in the PZT phase shifting process, this technique cannot cope with higher-precision measurement requirements (such as nanoscale). Especially for the multi-surface interference measurement of transparent parallel flat crystals, the measurement requirements of this kind of sample are very high, and the existing measurement methods generally need to separate the multi-surface interference signals according to the different phase-shift frequencies (by setting the cavity length). coefficient, that is, the ratio of the interference cavity length to the product of thickness and refractive index), so if the error is large, the separation and measurement of transparent multi-surface samples cannot be completed at the same time. At the same time, when measuring multi-surface transparent components such as parallel transmission thin plates and semiconductor substrate coatings, a set of self-interference fringes will be formed on the front and rear surfaces, and the front and rear surfaces of the component interfere with the reference mirror respectively, resulting in two sets of fringes. The three groups of interference fringes eventually form superimposed cross-interference fringes. If the traditional phase-shifting algorithm is used to calculate multi-surface interference fringes, a large error will occur. At present, the commonly used techniques include point-by-point scanning measurement based on polarized light ellipsometer and white light interference methods. The commonly used method in industrial applications is to coat the back surface of the flat plate with a matte paint or vaseline that matches the refractive index of the material to measure each surface one by one to eliminate the influence of the reflection on the back surface on the measurement, but this method will affect the components. The surface is damaged and the topography of multiple surfaces cannot be measured simultaneously.

基于波长移相干涉技术的测量方法是近年来发展起来的一种典型的高精度、非接触式测量技术。这种测量技术是通过动态地改变施加在激光器上的电压值,从而改变激光器的输出波长,达到改变相位值的目的,也就是移相操作。通过移相操作以后,由CCD相机采集到不同的移相值下的被测件的各表面干涉信息混叠的干涉光强分布图,再使用算法进行计算,对混叠的干涉信息进行分离,进而得到各部分信号的独立分量信息,解相以后即可得到被测面的初始相位值,可以得到被测面的表面面形变化信息,这就是波长移相干涉测量技术的原理。The measurement method based on wavelength-shifting interferometry is a typical high-precision, non-contact measurement technology developed in recent years. This measurement technology changes the output wavelength of the laser by dynamically changing the voltage value applied to the laser, so as to achieve the purpose of changing the phase value, that is, the phase-shifting operation. After the phase-shift operation, the interference light intensity distribution of the interference information of each surface of the tested object under different phase-shift values is collected by the CCD camera, and then the algorithm is used to calculate and separate the aliased interference information. Then, the independent component information of each part of the signal can be obtained. After the phase solution, the initial phase value of the measured surface can be obtained, and the surface shape change information of the measured surface can be obtained. This is the principle of wavelength-shifted interferometry.

波长调谐移相过程中干涉条纹信号的光强变化频率与发生干涉的相干光的光程差有关。因为多组待测干涉条纹信号的光程差并不相同,所以即使波长调谐量一定,对应于它们各自对应的干涉条纹的变化频率也并不相同,各干涉信息的干涉频率是光程差的函数,换言之,干涉频率是腔长以及被测件的厚度与折射率的函数。利用傅里叶变换和信号分析理论可以将多组频率变化不同的干涉条纹通过时域加窗傅里叶变换实现分离。同时利用波长调谐移相算法干涉技术,不仅可以实现对待测物体的前后表面三维轮廓实现检测,还可以对厚度变化进行测量。The frequency of light intensity change of the interference fringe signal in the process of wavelength tuning and phase shifting is related to the optical path difference of the coherent light that interferes. Because the optical path differences of the multiple groups of interference fringe signals to be measured are not the same, even if the wavelength tuning amount is constant, the change frequencies corresponding to their respective interference fringes are not the same, and the interference frequency of each interference information is the optical path difference. function, in other words, the interference frequency is a function of the cavity length and the thickness and refractive index of the device under test. Using Fourier transform and signal analysis theory, multiple groups of interference fringes with different frequency changes can be separated by time-domain windowed Fourier transform. At the same time, the interference technology of wavelength tuning and phase-shifting algorithm can not only realize the detection of the three-dimensional contour of the front and rear surfaces of the object to be measured, but also measure the thickness change.

因为不同的表面之间以及与参考面的光程差不同,因此各干涉信息之间实际上是可以根据频率区分开来的,也就是通过给定厚度与折射率的样品,在利用加权多部移相算法进行解相和测量时,进行符合算法要求的腔长的选取,满足分离与采样条件,进而对各干涉信息进行分离。但是当被测件放置在干涉仪的某些位置上时,光程差决定的干涉频率可能发生重叠或者频率相近的情况,无法进行干涉信息的提取。再者,现在的解相算法很多采取多步移相算法,对于该种算法而言其频域的取样窗的形式与腔长系数与移相值的设定规律强相关,因此在理论上可以对各参考频率进行分离时,结果并不一定能够达到解相的目的。换言之,各信号的频率不同,并不一定能够直接实现信号的分离,还与腔长系数与移相值的设定有关。因此,在运用多步长移相算法进行多表面干涉测量时,需要对腔长系数和移相值的设定进行限定,往往一种算法设计好以后只能应对一种或者有限的几种情况,当腔长系数改变时则不能进行解相和信号的分离,这是目前基于多步移相的多表面解相技术的主要难点之一。Because the optical path difference between different surfaces and the reference surface is different, the interference information can actually be distinguished according to the frequency, that is, through the sample with a given thickness and refractive index, using the weighted multi-part When the phase-shifting algorithm performs phase solution and measurement, the cavity length that meets the requirements of the algorithm is selected to satisfy the separation and sampling conditions, and then each interference information is separated. However, when the DUT is placed in certain positions of the interferometer, the interference frequencies determined by the optical path difference may overlap or be close to each other, and the extraction of interference information cannot be performed. Furthermore, many of the current phase-resolving algorithms adopt multi-step phase-shifting algorithms. For this kind of algorithm, the form of the sampling window in the frequency domain is strongly related to the setting law of the cavity length coefficient and the phase-shifting value. When each reference frequency is separated, the result is not necessarily able to achieve the purpose of dephasing. In other words, the frequency of each signal is different, and it is not necessarily possible to directly realize the separation of the signals, and it is also related to the setting of the cavity length coefficient and the phase shift value. Therefore, when using the multi-step phase-shifting algorithm for multi-surface interferometry, it is necessary to limit the settings of the cavity length coefficient and the phase-shift value. Often, an algorithm can only cope with one or a limited number of situations after it is designed. , when the cavity length coefficient changes, the separation of the phase solution and the signal cannot be performed, which is one of the main difficulties of the current multi-surface phase solution technology based on multi-step phase shifting.

与此同时,传统的算法设计方法因为没有对算法进行预评估和分析,因此设计人员对一种多步解相算法的具体适用范围一般是未知的,仅通过试验来多一种或者有限的几种方案进行算法设计和实验的制定,很大程度上限制了该种算法的应用范围。At the same time, because the traditional algorithm design method does not pre-evaluate and analyze the algorithm, the specific scope of application of a multi-step phase solution algorithm is generally unknown, and only one more or a limited number of This kind of scheme is used for algorithm design and experiment formulation, which limits the application scope of this kind of algorithm to a large extent.

不仅如此,传统的设计方法多是基于离散参数设计的基础上进行算法应用,而在实际过程中由于实验条件的限制,一般无法严格满足理想条件,因此在测量时需要根据已知条件来对算法进行微调,而不是从根本上对算法进行综合分析与有效数据的预估与存储。Not only that, the traditional design methods are mostly based on discrete parameter design for algorithm application, but in the actual process, due to the limitation of experimental conditions, generally cannot strictly meet the ideal conditions, so the algorithm needs to be adjusted according to known conditions during measurement. Fine-tuning, rather than fundamentally comprehensive analysis of algorithms and estimation and storage of valid data.

在硬件方面,传统方法多使用刻度尺或者带刻度滑轨来对被测件距离进行测量,这种测量方法精度较低,并且当夹具外边缘无法与被测件在同一平面时,必定纳入较大的测量误差。In terms of hardware, the traditional method mostly uses a scale or a scaled slide rail to measure the distance of the DUT. This measurement method has low accuracy, and when the outer edge of the fixture cannot be on the same plane as the DUT, it must be included in the measurement. large measurement errors.

发明内容SUMMARY OF THE INVENTION

为了解决现有技术问题,本发明的目的在于克服已有技术存在的不足,提供一种基于预分析的任意腔长下干涉加权采样解相分析方法及测量系统,为了解决干涉测量中的解相问题,特别是对于加权多步采样算法中一种算法只能应用于较窄范围的离散腔长条件局限性的问题,本发明提出一种基于预分析的任意腔长下干涉加权采样解相技术应对多表面透明被测件的干涉测量问题。本发明所针对的多表面透明被测件为透明平行平板。其原理主要为:在采用加权多步采样算法进行解相计算时,不仅需要各混叠的干涉频率能够分离,各干涉频率之间是相互独立且频率分量之间还应具有一定距离以便采样函数能够作用,与此同时还需要加权采样窗函数在频域内能够准确的对目标频率的信号进行采样并且不将目标信号以外的信息纳入采样,当满足以上三个条件的时候才能够使用多步加权采样的算法对目标信息进行提取,完成解相操作。但是在实际的应用过程中时,一般是设计好一种加权采样算法以后该算法便不可改变,只能处理腔长系数范围固定的一个或者几个离散的数值,并且无法对设计好的算法进行动态地调整以应对不同的腔长条件。但是对于实际的测量过程而言,无法保证腔长很好地满足算法需要的条件,其原因在于:改变腔长即改变被测件到参考镜前表面的距离,而这个距离不可太大或者太小:太小时则实验条件无法满足,参考镜及被测件被固定在夹具上,夹具本身占有一定的空间;太大时干涉仪所在抗振实验台的尺寸可能无法满足预设的腔长条件以及引入误差。并且如果一种设计好的算法只满足几个离散腔长值时,在测量过程中需要对腔长进行调整,也就是需要通过刻度尺或者带刻度导轨调整被测件到参考镜的距离,在调整的过程中不可避免的会引入误差,使当前实际的腔长值无法严格的满足算法需要的理想的腔长条件。导致测量误差很大甚至是无法进行测量。本发明提出来的方法是基于预先设计好的算法适用系数库的形式针对不同的腔长系数进行设计,使用测距传感器对被测件的距离进行高精度测量,因而能够很好地避免上述问题。In order to solve the problems of the prior art, the purpose of the present invention is to overcome the deficiencies of the prior art, and to provide a pre-analysis based method and measurement system for interferometric weighted sampling for phase resolution under arbitrary cavity length. Especially for the problem that an algorithm in the weighted multi-step sampling algorithm can only be applied to a narrow range of discrete cavity length conditions, the present invention proposes a pre-analysis based interferometric weighted sampling phase solution technology with arbitrary cavity lengths To deal with the interferometric measurement of multi-surface transparent DUTs. The multi-surface transparent test piece targeted by the present invention is a transparent parallel flat plate. The principle is as follows: when the weighted multi-step sampling algorithm is used for dephasing calculation, not only the aliased interference frequencies need to be separated, but also the interference frequencies are independent of each other and there should be a certain distance between the frequency components so that the sampling function can be performed. At the same time, the weighted sampling window function needs to be able to accurately sample the signal of the target frequency in the frequency domain and not include information other than the target signal into the sampling. When the above three conditions are met, multi-step weighting can be used. The sampling algorithm extracts the target information and completes the phase solution operation. However, in the actual application process, after a weighted sampling algorithm is generally designed, the algorithm cannot be changed, and it can only process one or several discrete values with a fixed range of cavity length coefficients, and it is impossible to perform the designed algorithm. Dynamically adjust to cope with different cavity length conditions. However, for the actual measurement process, it is impossible to guarantee that the cavity length can well meet the conditions required by the algorithm. The reason is that changing the cavity length means changing the distance between the measured object and the front surface of the reference mirror, and this distance should not be too large or too large. Small: If it is too small, the experimental conditions cannot be satisfied, the reference mirror and the DUT are fixed on the fixture, and the fixture itself occupies a certain space; if it is too large, the size of the anti-vibration test bench where the interferometer is located may not meet the preset cavity length conditions and introducing errors. And if a designed algorithm only satisfies a few discrete cavity length values, the cavity length needs to be adjusted during the measurement process, that is, the distance from the test piece to the reference mirror needs to be adjusted through a scale or a scale guide. Errors will inevitably be introduced in the adjustment process, so that the current actual cavity length value cannot strictly meet the ideal cavity length conditions required by the algorithm. The measurement error is very large or even impossible to measure. The method proposed by the present invention is designed for different cavity length coefficients based on the pre-designed algorithm applicable coefficient library, and the distance measurement sensor is used to measure the distance of the measured piece with high precision, so the above problems can be well avoided .

为达到上述发明创造目的,本发明采用如下技术方案:In order to achieve the above-mentioned purpose of invention and creation, the present invention adopts the following technical solutions:

一种基于预分析的任意腔长下干涉加权采样解相分析方法,包括以下过程和步骤:A pre-analysis based interferometric weighted sampling solution phase analysis method with arbitrary cavity length, comprising the following processes and steps:

a.根据加权多步采样算法特性,对一定范围内的移相参考系数和腔长系数进行二重迭代;a. According to the characteristics of the weighted multi-step sampling algorithm, double iteration is performed on the phase-shifting reference coefficient and cavity length coefficient within a certain range;

b.对基于泽尼克多项式干涉模拟以及多步加权离散采样的算法结果取最大误差的均方差进行判别,当各信息的分离误差小于1.2um时则判定算法可用,否则判定为不可用,而后将该信息储存在预分析矩阵中;b. Take the mean square error of the maximum error for the results of the algorithm based on Zernike polynomial interference simulation and multi-step weighted discrete sampling. When the separation error of each information is less than 1.2um, the algorithm is determined to be available, otherwise it is determined to be unavailable, and then the This information is stored in a pre-analysis matrix;

c.使用激光测距传感器对被测件距离进行测量,设定被测件的厚度以及反射率信息,调用预分析矩阵,对算法中的具体参数进行选取和设计,将从算法库中选取可用值进行加权多步采样计算;c. Use the laser ranging sensor to measure the distance of the DUT, set the thickness and reflectivity information of the DUT, call the pre-analysis matrix, select and design the specific parameters in the algorithm, and select the available parameters from the algorithm library. value for weighted multi-step sampling calculation;

d.在算法参数选取好以后,再进行干涉仪的干涉图采集,其中采集帧数和移相值与移相参考系数有关,测量时设定输入被测件的厚度值与折射率,进行被测件的各表面信息的测量。d. After the algorithm parameters are selected, the interferogram acquisition of the interferometer is carried out. The number of acquisition frames and the phase-shift value are related to the phase-shift reference coefficient. During the measurement, set the thickness value and refractive index of the input test piece to be measured. Measurement of each surface information of the test piece.

作为本发明优选的技术方案,在制定迭代和取值判定方法过程中,对于每一个腔长系数,使其1个步距之内的右侧刻度对应的移相参考系数值同时满足当前移相参考系数与其右侧紧邻移相参考系数的条件,取实际腔长系数所在刻度范围的右侧刻度值作为预估值,再通过该预估值对移相参考系数进行选取;通过移相参考系数和腔长系数的定位与选取以后,再进行采样函数的计算,完成算法设计准备过程。As a preferred technical solution of the present invention, in the process of formulating the iteration and value determination method, for each cavity length coefficient, the phase-shifting reference coefficient value corresponding to the right scale within 1 step is made to satisfy the current phase-shifting coefficient at the same time. For the condition that the reference coefficient and its right side are adjacent to the phase-shift reference coefficient, take the scale value on the right side of the scale range where the actual cavity length coefficient is located as the estimated value, and then select the phase-shift reference coefficient based on the estimated value; After the positioning and selection of the cavity length coefficient and the sampling function, the calculation of the sampling function is performed to complete the algorithm design preparation process.

作为本发明优选的技术方案,进行多表面透明被测件的混叠干涉测量,通过对不同的腔长系数和移相参考系数进行二重迭代,先对移相参考系数进行迭代,迭代过程中将腔长系数的迭代纳入计算过程,从而得到在不同腔长系数下以及不同移相参考系数下的各表面求解的去包裹以后的相位结果,进而求解各表面面形结果,并主要考虑被测件的前表面、后表面以及厚度变化这三个信息。As a preferred technical solution of the present invention, the aliasing interferometry of the multi-surface transparent DUT is performed. By performing double iteration on different cavity length coefficients and phase-shifting reference coefficients, the phase-shifting reference coefficients are firstly iterated, and in the iterative process The iteration of the cavity length coefficient is included in the calculation process, so as to obtain the unwrapped phase results of each surface solution under different cavity length coefficients and different phase-shifting reference coefficients, and then solve the surface shape results of each surface, mainly considering the measured The front surface, the back surface and the thickness variation of the part are obtained.

一种基于预分析的任意腔长下干涉加权采样的测量系统,采用本发明基于预分析的任意腔长下干涉加权采样解相分析方法,所述测量系统主要包括激光测距传感器、夹具组合与导轨的配合装置,夹具组合包括夹具以及导轨架;导轨架两端设置可调节参考臂,可调节参考臂内侧有齿条与有齿的旋钮进行配合传动;旋钮底端为螺杆,与导轨架内部底端的螺纹孔进行螺纹连接,旋钮与可调节参考臂在导轨架两端各一个;可调节参考臂上根据激光器波长涂抹高反射率涂层,以配合激光测距传感器的工作;被测镜被夹具组合夹持;夹具夹持被测镜以后,通过夹具装配螺纹孔与导轨架进行组合;导轨架由上下两个中空腔体组成,下方开槽,使导轨架卡在导轨上并且进行配合运动;导轨架的上方开导轨架装配螺纹孔通过螺栓进行导轨架上下结构的组装;可调节参考臂通过两端的参考臂导槽卡在导轨架两侧的槽中并且进行运动;通过旋转旋钮控制可调节参考臂进行前后移动,进而实现与被测镜前表面的校正以及激光测距传感器的测距;激光测距传感器设置在干涉仪底部的前后两侧各一个,均以参考镜的外表面作为基准,测量已经校准后的可调节参考臂的距离均值作为被测镜与参考镜的绝对距离值,从而得到腔长值;激光测距传感器与上位计算机信号连接,计算机读取其测得的距离值均值,作为计算腔长系数的数据信息。A measurement system based on pre-analysis interference weighted sampling under arbitrary cavity length, adopts the pre-analysis-based interference weighted sampling and dephase analysis method under arbitrary cavity length of the present invention, the measurement system mainly includes a laser ranging sensor, a fixture combination and The matching device of the guide rail, the clamp combination includes a clamp and a guide rail frame; the two ends of the guide rail frame are provided with adjustable reference arms, and the inner side of the adjustable reference arm has a rack and a toothed knob for cooperative transmission; the bottom end of the knob is a screw rod, which is connected with the inside of the guide rail frame. The threaded hole at the bottom end is threaded, and the knob and the adjustable reference arm are located at each end of the rail frame; the adjustable reference arm is coated with a high reflectivity coating according to the laser wavelength to match the work of the laser ranging sensor; the measured mirror is Clamp combination clamping; after the clamp clamps the mirror under test, it is assembled with the guide rail frame through the clamp assembly threaded hole; the guide rail frame is composed of two upper and lower hollow cavities, and the lower part is slotted, so that the guide rail frame is clamped on the guide rail and performs coordinated movement ;The upper part of the guide rail frame opens the guide rail frame assembly threaded hole to assemble the upper and lower structure of the guide rail frame through bolts; the adjustable reference arm is clamped in the grooves on both sides of the guide rail frame through the reference arm guide grooves at both ends and moves; the adjustable reference arm can be controlled by rotating the knob. Adjust the reference arm to move back and forth, so as to realize the correction with the front surface of the measured mirror and the distance measurement of the laser ranging sensor; the laser ranging sensors are arranged on the front and rear sides of the bottom of the interferometer, and the outer surface of the reference mirror is used as the Benchmark, measure the average distance of the calibrated adjustable reference arm as the absolute distance between the measured mirror and the reference mirror, so as to obtain the cavity length value; the laser ranging sensor is connected to the upper computer signal, and the computer reads the measured distance. The mean value is used as the data information for calculating the cavity length coefficient.

作为本发明优选的技术方案,被测件被夹具组合的夹具夹持,使得被测透明平行平板能够垂直于工作台,使得被测平行平板与干涉仪的参考镜外表面平行,并且通过调整夹具的位置,使得被测件的前后表面与参考镜的外边面之间分别产生干涉。As a preferred technical solution of the present invention, the measured part is clamped by the clamps combined with the clamps, so that the measured transparent parallel plate can be perpendicular to the worktable, so that the measured parallel plate is parallel to the outer surface of the reference mirror of the interferometer, and by adjusting the clamp position, so that the front and rear surfaces of the tested object and the outer surface of the reference mirror interfere respectively.

作为本发明优选的技术方案,所述导轨架底端与工作台上的导轨相配合进行移动,夹具的垂直高度中心对准干涉仪外表面圆心。As a preferred technical solution of the present invention, the bottom end of the guide rail frame cooperates with the guide rail on the worktable to move, and the vertical height center of the clamp is aligned with the center of the outer surface of the interferometer.

优选干涉图采集时使用波长移相干涉仪,采集帧数和移相值分别与移相参考系数有关。It is preferable to use a wavelength phase-shifting interferometer when acquiring the interferogram, and the number of acquisition frames and the phase-shift value are respectively related to the phase-shift reference coefficient.

优选干涉仪使用自带数据连接线与电脑相连,电脑直接将干涉仪中CCD相机采集到的采集到的的干涉图进行读取。Preferably, the interferometer is connected to the computer using its own data cable, and the computer directly reads the acquired interferogram collected by the CCD camera in the interferometer.

优选高精度激光测距传感器,优选使用德国JENOPTIK高精度激光测距传感器,型号JGS-70,将传感器布置在与干涉仪的参考镜外表面平行的工作台上,干涉仪的两端各安装一个,高精度激光测距传感器测得的信号通过数据传输线传输到电脑中以备读取,所测得的两个距离值取平均值作为实际距离值。将传感器校准,以参考镜外表面作为基准,此时测得的被测件距离为绝对距离。The high-precision laser ranging sensor is preferred, and the German JENOPTIK high-precision laser ranging sensor, model JGS-70, is preferred. The sensor is arranged on a worktable parallel to the outer surface of the reference mirror of the interferometer, and one is installed at each end of the interferometer. , The signal measured by the high-precision laser ranging sensor is transmitted to the computer through the data transmission line for reading, and the average of the two measured distance values is taken as the actual distance value. Calibrate the sensor and take the outer surface of the reference mirror as the benchmark, and the measured distance of the DUT at this time is the absolute distance.

作为本发明优选的技术方案,所述夹具分为两部分,一部分是夹持被测件的部分,这里可选取真空自定心镜架,根据被测件的口径的不同进行夹具的选取,被测件口径在30-200mm之间时,优选选取夹具型号:FPSTA-4SCML-8V,夹具需要被安装在导轨架上。另一部分是与夹具配合的导轨架,夹具底部钻螺纹孔,与导轨架进行螺栓连接。导轨架底端与导轨配合,可以嵌在导轨上。导轨架两端开螺纹孔与夹具进行配合。导轨架两端设置可调节参考臂,可调节参考臂内侧有齿条可与旋钮配合,所述旋钮为有齿圆柱,底端为螺柱,与导轨架内部底端的螺纹孔进行螺纹连接,所述旋钮与可调节参考臂在导轨架两端各一个。参考臂上涂抹高反射率涂层,根据激光器波长,优选为1030-i0涂层材料,以配合激光测距传感器的工作。As a preferred technical solution of the present invention, the fixture is divided into two parts, one part is the part that clamps the tested piece, here a vacuum self-centering mirror frame can be selected, and the fixture is selected according to the diameter of the tested piece, and the When the diameter of the test piece is between 30-200mm, it is preferable to select the fixture model: FPSTA-4SCML-8V, and the fixture needs to be installed on the rail frame. The other part is the guide rail frame matched with the fixture. The bottom of the fixture is drilled with threaded holes and bolted to the guide rail frame. The bottom end of the guide rail frame is matched with the guide rail and can be embedded on the guide rail. The two ends of the guide rail frame are provided with threaded holes for matching with the clamps. The two ends of the guide rail frame are provided with adjustable reference arms, and the inner side of the adjustable reference arm has a rack that can cooperate with the knob. The knob and the adjustable reference arm are located at each end of the rail frame. The reference arm is coated with a high reflectivity coating, preferably 1030-i0 coating material according to the laser wavelength, in order to cooperate with the work of the laser ranging sensor.

优选多表面解相算法包括6个算法,分别对应不同的移相参考系数,可以应对不同的腔长系数分布情形。Preferably, the multi-surface dephasing algorithm includes 6 algorithms, which correspond to different phase-shifting reference coefficients respectively, and can deal with different distribution situations of cavity length coefficients.

优选导轨为高精度测量导轨,优选采用GCM-720205M型号导轨。Preferably, the guide rail is a high-precision measurement guide rail, and the GCM-720205M model guide rail is preferably used.

优选CCD相机,优选DFK37AUX273型号及其配套数据连接线。CCD camera is preferred, DFK37AUX273 model and its supporting data cable are preferred.

优选波长可调谐激光器,优选Newfocus公司TLB-6804系列波长可调谐激光器。A wavelength tunable laser is preferred, and a wavelength tunable laser of the TLB-6804 series from Newfocus is preferred.

本发明原理:Principle of the present invention:

本发明所提出的算法的设计过程为:首先基于经验设定主遵循函数,通过对多表面干涉相移测量算法的精确设计,使用泽尼克拟合的方式完整地模拟多表面干涉采集过程以及算法处理过程,通过不同的腔长系数和移相参考系数的二重迭代得到在不同腔长系数下以及不同移相参考系数下的各表面求解的去包裹以后的相位结果,进而求解各表面面形结果,此处主要考虑被测件的前表面、后表面以及厚度变化这三个信息。对各表面面形结果进行消倾斜处理,而后分别与各自的均值求解残差。这里的残差求取的是各数据偏离均值的距离的峰值,即平均差的最大值。将残差数据储存并且进行判定。判定条件选择为:二重迭代时,在当前腔长系数和移相参考系数的条件下,当前表面、后表面、厚度变化这三个干涉信息的残差结果同时小于1.2nm,则判定在该条件下的算法适用。将腔长系数和移相参考系数的二重迭代结果求解出来以后放置在预分析矩阵中。在使用该算法时,用高精度激光测距传感器测量被测件到达参考镜的距离并将该值读入本发明所设计的解相算法,而后只需要输入厚度与折射率的值,便可自动计算腔长系数与移相参考系数。在预分析矩阵的求解过程中,因为不同腔长系数下的计算过程无可避免的是离散数据,本发明设计的数据处理方式为:对实际腔长系数进行位置搜索,总会存在两个离散值使得实际腔长系数处于此二者之间,从而选取其紧邻的较大值作为预估值,再通过对该预估值进行移相参考系数的搜索,完成算法的准备过程。The design process of the algorithm proposed by the present invention is as follows: first, the main follow function is set based on experience, and through the accurate design of the multi-surface interference phase shift measurement algorithm, the Zernike fitting method is used to completely simulate the multi-surface interference acquisition process and the algorithm In the processing process, the unwrapped phase results of each surface solved under different cavity length coefficients and different phase-shifting reference coefficients are obtained through double iteration with different cavity length coefficients and phase-shifting reference coefficients, and then the surface shape of each surface is solved. As a result, three pieces of information, the front surface, the back surface, and the thickness variation of the DUT, are mainly considered here. De-tilt the surface profile results, and then solve the residuals with their respective mean values. The residual error here is the peak value of the distance that each data deviates from the mean value, that is, the maximum value of the mean difference. Store residual data and make decisions. The judgment condition is selected as follows: in the double iteration, under the condition of the current cavity length coefficient and the phase shift reference coefficient, the residual results of the three interference information of the current surface, the back surface and the thickness change are simultaneously less than 1.2nm, then it is determined that the Conditional algorithms apply. The double iterative results of the cavity length coefficient and the phase-shift reference coefficient are solved and placed in the pre-analysis matrix. When using this algorithm, a high-precision laser ranging sensor is used to measure the distance from the measured object to the reference mirror, and the value is read into the phase-solving algorithm designed by the present invention, and then only the values of thickness and refractive index need to be input, and then the Automatic calculation of cavity length coefficient and phase shift reference coefficient. In the solution process of the pre-analysis matrix, because the calculation process under different cavity length coefficients is inevitably discrete data, the data processing method designed by the present invention is: searching for the actual cavity length coefficient, there are always two discrete data. The actual cavity length coefficient is between these two values, so the larger value next to it is selected as the estimated value, and then the preparatory process of the algorithm is completed by searching the phase-shifting reference coefficient for the estimated value.

下一步是将从预分析矩阵中搜寻的当前可适应移相参考系数和实际腔长值带入到解相算法中,通过不同的移相参考系数设计移相值和干涉图采集帧数以及加权采样函数,再对该数据进行反正切计算便可以得到包裹位相,去包裹和消倾斜以后便可以得到相应被测表面的面形,完成多表面干涉测量过程。The next step is to bring the current adaptive phase-shifting reference coefficients and actual cavity length values searched from the pre-analysis matrix into the dephasing algorithm, and design the phase-shifting value and the number of interferogram acquisition frames and weighting through different phase-shifting reference coefficients. Sampling function, and then calculate the arctangent of the data to obtain the wrapping phase. After de-wrapping and de-tilting, the surface shape of the corresponding measured surface can be obtained, and the multi-surface interferometric measurement process can be completed.

在构架预分析矩阵时,移相参考系数的迭代步距为1,腔长系数的迭代步距为0.1,二重迭代的参数是离散的,因此必定无法满足所有腔长系数情形。判定方法是:对于每一个腔长系数而言,其1个步距之内的右侧刻度对应的移相参考系数值必定同时满足当前移相参考系数与其右侧紧邻移相参考系数的条件,因此此处采取的处理方法是取实际腔长系数所在刻度范围的右侧刻度值作为预估值,再通过该预估值对移相参考系数进行选取。通过移相参考系数和腔长系数的定位与选取以后可以进行采样函数的计算,此时便完成算法设计过程,在使用时只需输入被测件厚度与反射率就可以自动地对算法进行具体设计。When constructing the pre-analysis matrix, the iterative step size of the phase-shifting reference coefficient is 1, and the iterative step size of the cavity length coefficient is 0.1. The parameters of the double iteration are discrete, so it must not satisfy all the cavity length coefficient cases. The determination method is: for each cavity length coefficient, the phase-shifting reference coefficient value corresponding to the right scale within one step must satisfy the conditions of the current phase-shifting reference coefficient and its right-hand adjacent phase-shifting reference coefficient at the same time, Therefore, the processing method adopted here is to take the scale value on the right side of the scale range where the actual cavity length coefficient is located as the estimated value, and then select the phase-shift reference coefficient through the estimated value. After the positioning and selection of the phase-shifting reference coefficient and the cavity length coefficient, the sampling function can be calculated. At this time, the algorithm design process is completed. When using, only the thickness and reflectivity of the test piece can be input to automatically specify the algorithm. design.

本发明与现有技术相比较,具有如下显而易见的突出实质性特点和显著优点:Compared with the prior art, the present invention has the following obvious outstanding substantive features and significant advantages:

1.本发明通过预先对加权多步解相算法进行分析,将可用参数与对应的腔长系数与算法所必须的移相参考系数储存在算法库的预分析矩阵中;利用该算法进行解相时直接调用算法库中相应的参数值并且自动地通过测距传感器对被测件到参考镜前表面的距离值,也就是对腔长值进行测量,突破了固定的算法只能应用于固定腔长下的测量局限性问题,实现了算法的便捷设计;1. The present invention analyzes the weighted multi-step phase-solving algorithm in advance, and stores the available parameters, the corresponding cavity length coefficients and the necessary phase-shifting reference coefficients of the algorithm in the pre-analysis matrix of the algorithm library; utilize this algorithm to solve the phase problem. The corresponding parameter value in the algorithm library is directly called and the distance value between the measured part and the front surface of the reference mirror is automatically measured by the ranging sensor, that is, the cavity length value is measured, which breaks through the fixed algorithm and can only be applied to the fixed cavity. The long-term measurement limitation problem realizes the convenient design of the algorithm;

2.本发明基于加权多步采样算法的特点,也实现任意腔长下的加权多步干涉测量技术,突破技术瓶颈,为加权采样波长移相解相算法的应用拓宽了范围;2. Based on the characteristics of the weighted multi-step sampling algorithm, the present invention also realizes the weighted multi-step interferometric measurement technology under any cavity length, breaks through the technical bottleneck, and broadens the application scope of the weighted sampling wavelength phase-shifting and de-phase algorithm;

3.本发明通过对算法特性预先分析,构建算法参数可用数据库,在实际进行测量时,只需要输入厚度值及反射率值便可以自动搜寻参数库进行算法的自动设计,进行非接触式多表面信息的同时测量,并且算法计算速度快,计算成本低,测量效果好,可以解决任意腔长下的算法适应性问题;本发明所设计的导轨架可以辅助激光测距传感器实现被测件距离的自动测量,使得本技术的实现更为便捷;本发明从算法适应性角度进行预分析和处理,通过全面细致的分析解相算法的特点从而以此为基础反向进行算法的设计和测量方案的制定;本发明所提出的创新技术有利于干涉测量技术的应用及多表面测量技术的发展,为领域内技术人员开拓一种测量技术的设计思路;3. The present invention constructs an available database of algorithm parameters by pre-analyzing the algorithm characteristics. When actually measuring, only need to input the thickness value and the reflectivity value to automatically search the parameter library to automatically design the algorithm and perform non-contact multi-surface. Simultaneous measurement of information, and the algorithm calculation speed is fast, the calculation cost is low, and the measurement effect is good, which can solve the problem of algorithm adaptability under any cavity length; Automatic measurement makes the realization of this technology more convenient; the present invention carries out pre-analysis and processing from the perspective of algorithm adaptability, and comprehensively and meticulously analyzes the characteristics of the phase-solving algorithm, so as to reverse the design of the algorithm and the measurement scheme based on this. Formulated; the innovative technology proposed by the present invention is beneficial to the application of interferometric measurement technology and the development of multi-surface measurement technology, and develops a design idea of measurement technology for those skilled in the field;

4.本发明通过预分析求取的适合当前工况的移相值后反向进行算法设计与实验采集方案的制定与算法的自动设计;能够很好地完成任意腔长下的解相瓶颈问题,并且因为算法是自动设计的,降低了技术应用成本和设计成本,拓宽了波长移相干涉技术的应用范围,方法简单易行,成本低,适合推广使用。4. The present invention reverses the algorithm design, the formulation of the experimental acquisition scheme and the automatic design of the algorithm after obtaining the phase shift value suitable for the current working condition through pre-analysis; it can well complete the phase-solving bottleneck problem under any cavity length. , and because the algorithm is automatically designed, the technical application cost and design cost are reduced, and the application range of the wavelength phase-shifting interference technology is broadened.

附图说明Description of drawings

图1为本发明优选实施例测量系统的参考臂的结构示意图。FIG. 1 is a schematic structural diagram of a reference arm of a measurement system according to a preferred embodiment of the present invention.

图2为本发明优选实施例测量系统的旋钮结构示意图。FIG. 2 is a schematic diagram of the knob structure of the measurement system according to the preferred embodiment of the present invention.

图3为本发明优选实施例测量系统的导轨架结构正视图。FIG. 3 is a front view of the structure of the guide rail frame of the measurement system according to the preferred embodiment of the present invention.

图4为本发明优选实施例测量系统的导轨架结构俯视图。FIG. 4 is a top view of the structure of the guide rail frame of the measurement system according to the preferred embodiment of the present invention.

图5为本发明优选实施例测量系统的导轨架结构左视图。FIG. 5 is a left side view of the structure of the guide rail frame of the measuring system according to the preferred embodiment of the present invention.

图6为本发明优选实施例测量系统的整体系统结构示意图。FIG. 6 is a schematic diagram of the overall system structure of the measurement system according to the preferred embodiment of the present invention.

图7为本发明优选实施例测量系统采用的算法流程图。FIG. 7 is a flowchart of an algorithm adopted by the measurement system according to the preferred embodiment of the present invention.

图8为本发明优选实施例干涉加权采样解相分析方法采集到的混叠干涉图。FIG. 8 is an aliasing interferogram collected by an interference weighted sampling dephase analysis method according to a preferred embodiment of the present invention.

图9为本发明优选实施例干涉加权采样解相分析方法得到的解相结果图。FIG. 9 is a diagram of a phase resolution result obtained by an interference weighted sampling phase resolution analysis method according to a preferred embodiment of the present invention.

图10为本发明优选实施例干涉加权采样解相分析方法得到的结果残差图。FIG. 10 is a residual diagram of a result obtained by an interference weighted sampling dephase analysis method according to a preferred embodiment of the present invention.

图11为本发明优选实施例干涉加权采样解相分析方法采用的预分析参数库示意图。FIG. 11 is a schematic diagram of a pre-analysis parameter library adopted by the interference-weighted sampling phase-resolving analysis method according to the preferred embodiment of the present invention.

具体实施方式Detailed ways

以下结合具体的实施例子对上述方案做进一步说明,本发明的优选实施例详述如下:The above scheme will be further described below in conjunction with specific embodiments, and preferred embodiments of the present invention are described in detail as follows:

在本实施例中,参见图7,一种基于预分析的任意腔长下干涉加权采样解相分析方法,包括以下过程和步骤:In the present embodiment, referring to FIG. 7 , a pre-analysis method for phase analysis based on interference weighted sampling under arbitrary cavity length includes the following processes and steps:

a.根据加权多步采样算法特性,对一定范围内的移相参考系数和腔长系数进行二重迭代;a. According to the characteristics of the weighted multi-step sampling algorithm, double iteration is performed on the phase-shifting reference coefficient and cavity length coefficient within a certain range;

b.对基于泽尼克多项式干涉模拟以及多步加权离散采样的算法结果取最大误差的均方差进行判别,当各信息的分离误差小于1.2um时则判定算法可用,否则判定为不可用,而后将该信息储存在预分析矩阵中;b. Take the mean square error of the maximum error for the results of the algorithm based on Zernike polynomial interference simulation and multi-step weighted discrete sampling. When the separation error of each information is less than 1.2um, the algorithm is determined to be available, otherwise it is determined to be unavailable, and then the This information is stored in a pre-analysis matrix;

c.使用激光测距传感器对被测件距离进行测量,设定被测件的厚度以及反射率信息,调用预分析矩阵,对算法中的具体参数进行选取和设计,将从算法库中选取可用值进行加权多步采样计算;在本实施例实际使用时,因为硬件设计部分使用激光测距传感器实现被测件距离的自动测量,因此在操作时只需要输入被测件的厚度以及反射率信息,则调用预分析矩阵后可以自动对算法中具体参数进行选取和设计,将从6个待用算法中选取可用值进行加权多步采样计算;c. Use the laser ranging sensor to measure the distance of the DUT, set the thickness and reflectivity information of the DUT, call the pre-analysis matrix, select and design the specific parameters in the algorithm, and select the available parameters from the algorithm library. In the actual use of this embodiment, because the hardware design part uses the laser ranging sensor to realize the automatic measurement of the distance of the measured object, only the thickness and reflectivity of the measured piece need to be input during operation. , then after calling the pre-analysis matrix, the specific parameters in the algorithm can be automatically selected and designed, and the available values will be selected from the 6 algorithms to be used for weighted multi-step sampling calculation;

d.在算法参数选取好以后,再进行实验方案的制定和干涉仪的干涉图采集,其中采集帧数和移相值与移相参考系数有关,测量时设定输入被测件的厚度值与折射率,进行被测件的各表面信息的测量。本实施例基于预分析的任意腔长下干涉加权采样解相分析方法,在算法的自动化设计层面。d. After the algorithm parameters are selected, the experimental plan is formulated and the interferometer interferogram acquisition is carried out. The number of acquisition frames and the phase shift value are related to the phase shift reference coefficient. When measuring, set the thickness value of the input test piece to be the same as the Refractive index, measure the information of each surface of the tested object. This embodiment is based on the pre-analyzed interferometric weighted sampling dephasing analysis method under any cavity length, at the level of automatic design of the algorithm.

在本实施例中,参见图7,在制定迭代和取值判定方法过程中,对于每一个腔长系数,使其1个步距之内的右侧刻度对应的移相参考系数值同时满足当前移相参考系数与其右侧紧邻移相参考系数的条件,取实际腔长系数所在刻度范围的右侧刻度值作为预估值,再通过该预估值对移相参考系数进行选取;通过移相参考系数和腔长系数的定位与选取以后,再进行采样函数的计算,完成算法设计准备过程。In this embodiment, referring to FIG. 7 , in the process of formulating the iteration and value determination method, for each cavity length coefficient, the phase-shifting reference coefficient value corresponding to the right scale within 1 step is made to satisfy the current For the condition that the phase-shift reference coefficient and its right side are adjacent to the phase-shift reference coefficient, take the scale value on the right side of the scale range where the actual cavity length coefficient is located as the estimated value, and then select the phase-shift reference coefficient based on the estimated value; After the positioning and selection of the reference coefficient and the cavity length coefficient, the calculation of the sampling function is carried out to complete the preparation process of the algorithm design.

在本实施例中,参见图7,进行多表面透明被测件的混叠干涉测量,通过对不同的腔长系数和移相参考系数进行二重迭代,先对移相参考系数进行迭代,迭代过程中将腔长系数的迭代纳入计算过程,从而得到在不同腔长系数下以及不同移相参考系数下的各表面求解的去包裹以后的相位结果,进而求解各表面面形结果,并主要考虑被测件的前表面、后表面以及厚度变化这三个信息。In this embodiment, referring to FIG. 7 , the aliasing interferometry of the multi-surface transparent DUT is performed. By performing double iteration on different cavity length coefficients and phase-shifting reference coefficients, the phase-shifting reference coefficients are firstly iterated, and then the iteration In the process, the iteration of the cavity length coefficient is included in the calculation process, so as to obtain the unwrapped phase results of each surface solution under different cavity length coefficients and different phase shifting reference coefficients, and then solve the surface shape results of each surface, and mainly consider The three information of the front surface, back surface and thickness change of the tested part.

在本实施例中,在硬件方面,使用激光测距传感器20、夹具组合与导轨的配合装置实现自动化算法的高精度实现。In this embodiment, in terms of hardware, the laser ranging sensor 20, the matching device of the clamp combination and the guide rail are used to realize the high-precision realization of the automation algorithm.

参见图1-图7,一种基于预分析的任意腔长下干涉加权采样的测量系统,采用本实施例基于预分析的任意腔长下干涉加权采样解相分析方法,所述测量系统主要包括激光测距传感器20、夹具组合18与导轨19的配合装置,夹具组合18包括夹具以及导轨架7;Referring to FIGS. 1 to 7 , a measurement system based on pre-analysis interference weighted sampling with arbitrary cavity lengths, using the pre-analysis-based interference weighted sampling and phase-resolving analysis method with arbitrary cavity lengths in this embodiment, the measurement system mainly includes The laser ranging sensor 20, the matching device of the clamp assembly 18 and the guide rail 19, the clamp assembly 18 includes a clamp and a guide rail frame 7;

导轨架7两端设置可调节参考臂1,可调节参考臂1内侧有齿条3与有齿5的旋钮4进行配合传动;旋钮4底端为螺杆6,与导轨架7内部底端的螺纹孔8进行螺纹连接,旋钮4与可调节参考臂1在导轨架7两端各一个;可调节参考臂1上根据激光器波长涂抹高反射率涂层2,以配合激光测距传感器20的工作;Both ends of the guide rail frame 7 are provided with adjustable reference arms 1. The adjustable reference arm 1 has a rack 3 on the inside and a knob 4 with teeth 5 for cooperative transmission; 8. Screw connection, knob 4 and adjustable reference arm 1 at each end of the guide rail frame 7; the adjustable reference arm 1 is coated with high reflectivity coating 2 according to the laser wavelength to cooperate with the work of the laser ranging sensor 20;

被测镜17被夹具组合18夹持;夹具夹持参考镜16以后,通过夹具装配螺纹孔11与导轨架7进行组合;导轨架7由上下两个中空腔体组成,下方开槽,使导轨架7卡在导轨19上并且进行配合运动;导轨架7的上方开导轨架装配螺纹孔10通过螺栓9进行导轨架上下结构的组装;可调节参考臂1通过两端的参考臂导槽25卡在导轨架7两侧的槽中并且进行运动;The mirror under test 17 is clamped by the clamp combination 18; after the clamp clamps the reference mirror 16, it is combined with the guide rail frame 7 through the clamp assembly threaded hole 11; The frame 7 is clamped on the guide rail 19 and performs coordinated movement; the upper part of the guide rail frame 7 opens the guide frame assembly threaded hole 10 to assemble the upper and lower structures of the guide rail frame through the bolts 9; in the grooves on both sides of the rail frame 7 and move;

通过旋转旋钮4控制可调节参考臂1进行前后移动,进而实现与被测镜17前表面的校正以及激光测距传感器20的测距;激光测距传感器20设置在干涉仪底部的前后两侧各一个,均以参考镜16的外表面作为基准,测量已经校准后的可调节参考臂1的距离均值作为被测镜17与参考镜16的绝对距离值,从而得到腔长值;激光测距传感器20与上位计算机信号连接,计算机读取其测得的距离值均值,作为计算腔长系数的数据信息。The adjustable reference arm 1 is controlled to move back and forth by rotating the knob 4, thereby realizing the correction with the front surface of the measured mirror 17 and the distance measurement of the laser ranging sensor 20; the laser ranging sensor 20 is arranged on each of the front and rear sides of the bottom of the interferometer. One, taking the outer surface of the reference mirror 16 as the benchmark, and measuring the average distance of the calibrated adjustable reference arm 1 as the absolute distance value between the measured mirror 17 and the reference mirror 16, so as to obtain the cavity length value; laser ranging sensor 20 is connected with the upper computer signal, and the computer reads the average value of the measured distance value as the data information for calculating the cavity length coefficient.

在本实施例中,参见图3-图6,被测件被夹具组合18的夹具夹持,使得被测透明平行平板,能够垂直于工作台,使得被测平行平板与干涉仪的参考镜16外表面平行,并且通过调整夹具的位置,使得被测件的前后表面与参考镜16的外边面之间分别产生干涉。In this embodiment, referring to FIGS. 3 to 6 , the object to be tested is clamped by the fixtures of the fixture assembly 18, so that the transparent parallel plate to be measured can be perpendicular to the worktable, so that the parallel plate to be measured is connected to the reference mirror 16 of the interferometer. The outer surfaces are parallel, and by adjusting the position of the fixture, the front and rear surfaces of the tested object and the outer surface of the reference mirror 16 are respectively interfered.

在本实施例中,参见图3-图6,所述导轨架7底端与工作台上的导轨19相配合进行移动,夹具的垂直高度中心对准干涉仪外表面圆心。In this embodiment, referring to FIGS. 3-6 , the bottom end of the guide rail frame 7 cooperates with the guide rail 19 on the worktable to move, and the vertical height center of the fixture is aligned with the center of the outer surface of the interferometer.

结合附图及图中具体部分的详细描述:With reference to the accompanying drawings and detailed descriptions of specific parts in the drawings:

波长移相干涉仪通过设定不同的移相值和采集帧数,所采集的干涉图像根据加权多步采样算法可以分离出混叠干涉信号的各独立组成部分,本实施例方法针对的是透明平行平板,可以实现对被测件的各表面的非接触式同时测量。波长可调谐移相起始干涉信号相位表示为:The wavelength phase-shifting interferometer can separate the independent components of the aliased interference signal from the acquired interference image by setting different phase-shifting values and acquisition frames according to the weighted multi-step sampling algorithm. The method in this embodiment is aimed at transparent The parallel plate can realize non-contact simultaneous measurement of each surface of the DUT. The phase of the wavelength-tunable phase-shifting initial interference signal is expressed as:

Figure GDA0003155037840000091
Figure GDA0003155037840000091

θ0是元件表面的初始相位,h(x,y)是元件表面形貌的几何变化,也就是光程差的分布,通过上式可以看出通过测量初始位相值就可得到样品表面的形貌分布,当波长改变时,相位值θ(x,y)及其泰勒级数展开忽略高阶项之后可表示为:θ 0 is the initial phase of the component surface, h(x, y) is the geometric change of the component surface topography, that is, the distribution of the optical path difference. It can be seen from the above formula that the shape of the sample surface can be obtained by measuring the initial phase value. When the wavelength changes, the phase value θ(x,y) and its Taylor series expansion can be expressed as:

Figure GDA0003155037840000092
Figure GDA0003155037840000092

其中,λ0为激光器的起始波长,k为移相步数,也即采集图像的幅数,Δλ为对应一次移相的单次波长变化调谐量。此处主要考虑三个主要信号,分别是前表面信号,后表面信号以及厚度变化信号。T为待测元件的平均厚度,测量光束的反射形成的各组干涉条纹的信号频率vp,q(x,y)可以表示为如下的通式形式:Among them, λ 0 is the starting wavelength of the laser, k is the number of phase shift steps, that is, the number of captured images, and Δλ is the tuning amount of a single wavelength change corresponding to one phase shift. Three main signals are mainly considered here, namely the front surface signal, the back surface signal and the thickness variation signal. T is the average thickness of the element to be measured, and the signal frequency v p,q (x, y) of each group of interference fringes formed by the reflection of the measuring beam can be expressed as the following general formula:

Figure GDA0003155037840000093
Figure GDA0003155037840000093

其中,p和q为反映双光束路径的整数,n为待测元件的折射率,

Figure GDA0003155037840000094
为折射率随波长的变化率。所述各表面干涉光强信号是时间域内的周期信号,因此通过欧拉公式和傅里叶变换可以变换为频率域,表示为:where p and q are integers reflecting the double beam paths, n is the refractive index of the element to be measured,
Figure GDA0003155037840000094
is the rate of change of refractive index with wavelength. Each surface interference light intensity signal is a periodic signal in the time domain, so it can be transformed into the frequency domain through Euler's formula and Fourier transform, which is expressed as:

Figure GDA0003155037840000101
Figure GDA0003155037840000101

其中,W(v)是窗函数w(t)的傅里叶变换形式并且需要满足在一倍频与二倍频处值为0的条件。则待测相位分布的求解可以表示为:Among them, W(v) is the Fourier transform form of the window function w(t) and needs to satisfy the condition that the value is 0 at one frequency and two frequency. Then the solution of the phase distribution to be measured can be expressed as:

Figure GDA0003155037840000102
Figure GDA0003155037840000102

实际测量过程中,移相干涉技术可以看成基于顺利排列的少数几个变量对整体的离散抽样。在离散采样情况下,窗函数w(t)与移相值σk之间的关系为:In the actual measurement process, the phase-shifting interferometry technique can be regarded as a discrete sampling of the whole based on a few smoothly arranged variables. In the case of discrete sampling, the relationship between the window function w(t) and the phase shift value σ k is:

Figure GDA0003155037840000103
Figure GDA0003155037840000103

其中,k表示移相的次数,δ[]表示狄拉克delta函数。光强干涉信号可以改写为傅里叶变换的形式,此时待测相位可以表示为:Among them, k represents the number of phase shifts, and δ[] represents the Dirac delta function. The light intensity interference signal can be rewritten in the form of Fourier transform, and the phase to be measured can be expressed as:

Figure GDA0003155037840000104
Figure GDA0003155037840000104

其中,

Figure GDA0003155037840000105
称为移相算法的特征系数,常数const是当v=0时传输窗口的复相位。以上是加权多步采样测量技术的理论基础。in,
Figure GDA0003155037840000105
Called the characteristic coefficient of the phase-shifting algorithm, the constant const is the complex phase of the transmission window when v=0. The above is the theoretical basis of the weighted multi-step sampling measurement technique.

在使用本技术进行实际测量时,需要先进行预分析矩阵的求解。求解出预分析矩阵以后可以储存以备后续测量时直接使用,而不需每次测量都进行该矩阵的求解。算法预分析矩阵的求解过程十分简单,如图7算法流程图所示:When using this technique for actual measurement, it is necessary to solve the pre-analysis matrix first. After solving the pre-analysis matrix, it can be stored for direct use in subsequent measurements, without the need to solve the matrix for each measurement. The solution process of the algorithm pre-analysis matrix is very simple, as shown in the algorithm flow chart in Figure 7:

第一步是基于经验设定主遵循函数,此处基于不同的腔长系数和移相参考系数采用6组采样权值函数,通过对多表面干涉相移测量算法的精确设计,使用泽尼克拟合的方式完整地仿真多表面干涉采集过程以及算法处理过程。通过不同的腔长系数和移相参考系数的二重迭代,先对移相参考系数进行迭代,迭代过程中将腔长系数的迭代纳入计算过程,即二重迭代,得到在不同腔长系数下以及不同移相参考系数下的各表面求解的去包裹以后的相位结果,进而求解各表面面形结果,此处主要考虑被测件的前表面、后表面以及厚度变化这三个信息。对各表面面形结果进行消倾斜处理后求解残差,这里的残差求取的是各数据偏离均值的峰值距离,是最大的平均差值。将残差数据储存在预分析矩阵中并且进行判定和幅值。判定条件选择为:二重迭代时,在当前腔长系数和移相参考系数的条件下,当前表面、后表面、厚度变化这三个干涉信息的残差结果同时小于1.2nm,则判定在该条件下的算法适用。将腔长系数和移相参考系数的二重迭代结果求解出来以后重新放置在预分析矩阵中覆盖旧有参数,可以得到图11所示的预分析参数库。The first step is to set the main follow function based on experience. Here, based on different cavity length coefficients and phase shift reference coefficients, 6 groups of sampling weight functions are used. It can completely simulate the multi-surface interference acquisition process and the algorithm processing process in a combined way. Through the double iteration of different cavity length coefficients and phase-shifting reference coefficients, the phase-shifting reference coefficients are firstly iterated. As well as the phase results after de-wrapping of each surface under different phase-shifting reference coefficients, and then solve the surface shape results of each surface. Here, the three information of the front surface, rear surface and thickness change of the tested part are mainly considered. After de-slope processing is performed on each surface shape result, the residual is obtained. The residual here is the peak distance of each data deviating from the mean value, which is the largest average difference. Residual data are stored in a pre-analysis matrix and decisions and magnitudes are made. The judgment condition is selected as follows: in the double iteration, under the condition of the current cavity length coefficient and the phase shift reference coefficient, the residual results of the three interference information of the current surface, the back surface and the thickness change are simultaneously less than 1.2nm, then it is determined that the Conditional algorithms apply. After the double iterative results of the cavity length coefficient and the phase-shifting reference coefficient are solved, they are placed in the pre-analysis matrix to cover the old parameters, and the pre-analysis parameter library shown in Fig. 11 can be obtained.

在使用该算法时,用高精度激光测距传感器测量被测件到达参考镜的距离并将该值读入本文所设计的解相算法,而后只需要输入厚度与折射率的值,便可自动计算腔长系数与移相参考系数。在预分析矩阵的求解过程中,因为不同腔长系数下的计算过程无可避免的是离散数据,本实施例方法选择的处理方式为:对实际腔长系数进行位置搜索,总会存在两个离散值使得实际腔长系数处于此二者之间,从而选取其紧邻的较大值作为预估值,再通过对该预估值进行移相参考系数的搜索,完成算法的准备过程。在符号表示中,N表示移相参考系数,M表示腔长系数,是前表面到参考镜的腔长与厚度变化的光程的比值。When using this algorithm, a high-precision laser ranging sensor is used to measure the distance from the measured object to the reference mirror and read this value into the phase solution algorithm designed in this paper, and then only need to input the values of thickness and refractive index to automatically Calculate the cavity length coefficient and the phase shift reference coefficient. In the process of solving the pre-analysis matrix, because the calculation process under different cavity length coefficients is inevitably discrete data, the processing method selected by the method in this embodiment is: searching for the actual cavity length coefficients, there are always two The discrete value makes the actual cavity length coefficient between the two, so the larger value next to it is selected as the estimated value, and then the phase-shifting reference coefficient is searched for the estimated value to complete the preparation process of the algorithm. In notation, N represents the phase-shifting reference coefficient, and M represents the cavity length coefficient, which is the ratio of the cavity length from the front surface to the reference mirror to the optical path length of the thickness change.

不同N下的总采集帧数H以及采样基函数V1--V6附在后文。The total acquisition frame number H under different N and the sampling basis functions V 1 -V 6 are attached later.

k=1……H,j为虚数单位,因此采样函数可以表示为:k=1...H, j is an imaginary unit, so the sampling function can be expressed as:

Figure GDA0003155037840000111
Figure GDA0003155037840000111

Figure GDA0003155037840000112
Figure GDA0003155037840000112

其中Vi'是采样基函数Vi的归一化(0-1)结果,其中i=1……6。下一步是将从预分析矩阵中搜寻的当前可适应移相参考系数和实际腔长值带入到解相算法中,通过不同的移相参考系数设计移相值和干涉图采集帧数以及加权采样函数,再对该数据进行反正切计算便可以得到包裹位相,取包裹和消倾斜以后便可以通过简单的计算得到相应被测表面的面形,完成多表面干涉测量过程。在搜寻时,因在构建预分析矩阵时,迭代参数是离散的,N的迭代步距为1,M的迭代步距为0.1,因此必定无法满足所有腔长系数情形。根据图11的预分析参数库示意图可知,对于某腔长系数而言,其1个步距之内的右侧刻度对应的N值必定满足N及N+1的条件,因此此处采取的处理方法是取实际腔长系数所在刻度范围的右侧刻度值作为预估值,再通过该预估值对N进行选取。通过移相参考系数N和腔长系数M的定位与选取以后,便可以进行采样函数的计算,此时便完成算法设计过程,下一步是具体测量方案的制定与干涉图的采集方案的设计。where V i ' is the normalized (0-1) result of the sampled basis function V i , where i=1...6. The next step is to bring the current adaptive phase-shifting reference coefficients and actual cavity length values searched from the pre-analysis matrix into the dephasing algorithm, and design the phase-shifting value and the number of interferogram acquisition frames and weighting through different phase-shifting reference coefficients. Sampling function, and then calculate the arctangent of the data to obtain the wrapping phase. After taking wrapping and de-tilting, the surface shape of the corresponding measured surface can be obtained by simple calculation, and the multi-surface interferometric measurement process can be completed. During the search, because the iteration parameters are discrete when constructing the pre-analysis matrix, the iteration step size of N is 1, and the iteration step size of M is 0.1, so it must not be able to satisfy all the cavity length coefficient cases. According to the schematic diagram of the pre-analysis parameter library in Fig. 11, for a certain cavity length coefficient, the N value corresponding to the right scale within 1 step must satisfy the conditions of N and N+1, so the processing adopted here The method is to take the right scale value of the scale range where the actual cavity length coefficient is located as the estimated value, and then select N based on the estimated value. After the positioning and selection of the phase-shifting reference coefficient N and the cavity length coefficient M, the calculation of the sampling function can be performed, and the algorithm design process is completed at this time.

通过上面选取的N值可以确定总采集帧数以及每一帧的移相值和对应的基于经验设定的采集总帧数H,移相值为2π/N。The total number of acquisition frames, the phase shift value of each frame and the corresponding total number of acquisition frames H set based on experience can be determined through the N value selected above, and the phase shift value is 2π/N.

通过图6可以看出,在图中细线框表示干涉仪内部,干涉仪工作时,由波长可调谐激光器12发射可调谐光束,经过分光棱镜13分为两束光,一束通过第二透镜21和光阑22以及第三透镜23后进入观测系统CCD相机24,一部分第一透镜14和准直透镜15的准直以后,光束穿过参考镜16传输到被测镜17上,发生反射,再逆光路进入观测系统,并且各光束之间发生干涉,此时观测系统可以采集到多表面干涉信息混叠的干涉光强交叉条纹,如图8所示。CCD相机24采集到的干涉图通过自带数据线与计算机相连进行数据传输和读写,使计算机中的算法可以直接作用在干涉图上。It can be seen from FIG. 6 that the thin line frame in the figure represents the interior of the interferometer. When the interferometer is working, a tunable beam is emitted by the wavelength-tunable laser 12, and is divided into two beams by the beam splitter prism 13, and one beam passes through the second lens. 21, the diaphragm 22 and the third lens 23 enter the CCD camera 24 of the observation system. After a part of the first lens 14 and the collimating lens 15 are collimated, the light beam passes through the reference mirror 16 and is transmitted to the measured mirror 17, where it is reflected and then The reverse optical path enters the observation system, and the interference occurs between the light beams. At this time, the observation system can collect the interference light intensity cross fringes with multi-surface interference information aliasing, as shown in Figure 8. The interferogram collected by the CCD camera 24 is connected with the computer through its own data line for data transmission and reading and writing, so that the algorithm in the computer can directly act on the interferogram.

被测镜17被夹具组合18夹持,其中夹具组合18包括夹具以及导轨架7。由图4可知,夹具夹持被测镜16以后,通过夹具装配螺纹孔11与导轨架7进行组合。由图3、图4、图5能看到导轨架7的结构,导轨架7由上下两个具有一定厚度的中空腔体组成,下方开槽,可以卡在导轨19上并且进行配合运动。导轨架7的上方开导轨架装配螺纹孔10通过螺栓9进行导轨架上下结构的组装。通过图5可以看到,参考臂1可以通过两端的参考臂导槽25卡在导轨架7两侧的槽中并且进行运动。导轨架7内部左右两侧各放置一个旋钮4,其下方通过自身的螺杆6和架体上的螺纹孔8进行配合组装。The mirror under test 17 is clamped by a clamp assembly 18 , wherein the clamp assembly 18 includes a clamp and a guide rail frame 7 . As can be seen from FIG. 4 , after the fixture clamps the mirror 16 under test, the fixture is assembled with the guide rail frame 7 through the threaded hole 11 of the fixture. The structure of the guide rail frame 7 can be seen from Figure 3, Figure 4, and Figure 5. The guide rail frame 7 is composed of two upper and lower hollow cavities with a certain thickness. The upper part of the guide rail frame 7 opens the guide rail frame mounting screw hole 10 through the bolt 9 to assemble the upper and lower structure of the guide rail frame. It can be seen from FIG. 5 that the reference arm 1 can be clamped in the grooves on both sides of the guide rail frame 7 through the reference arm guide grooves 25 at both ends and move. A knob 4 is placed on each of the left and right sides of the guide rail frame 7, and the lower part thereof is assembled through its own screw 6 and the threaded hole 8 on the frame body.

并且通过图2可以看到,旋钮4上面有齿5,通过图1可以看到,旋钮4可以与放置在架体两端的参考臂1上的齿条3进行配合,并且参考臂1上的面对干涉仪的部分涂抹涂层材料2,这种涂层可以提高材料的反射率,从而配合激光测距。因此通过旋转旋钮4便可以实现参考臂1的前后移动,进而实现与被测镜17前表面的校正以及激光测距传感器20的测距。激光测距传感器20可以粘贴在干涉仪底部的前后两侧各一个,均以参考镜16的外表面作为基准,测量已经校准后的参考臂1的距离均值作为被测镜17与参考镜16的绝对距离值,便可以得到腔长值,从而带入算法设计过程。同时激光测距传感器20通过自带数据线与计算机相连,计算机读取其测得的距离值均值,作为计算腔长系数的必要数据。And it can be seen from Figure 2 that there are teeth 5 on the knob 4. It can be seen from Figure 1 that the knob 4 can cooperate with the rack 3 placed on the reference arm 1 at both ends of the frame body, and the surface on the reference arm 1 can be matched. Coating material 2 is applied to the part of the interferometer, and this coating can improve the reflectivity of the material, so as to cooperate with the laser ranging. Therefore, by rotating the knob 4 , the reference arm 1 can be moved back and forth, so as to realize the correction with the front surface of the measured mirror 17 and the distance measurement of the laser ranging sensor 20 . The laser ranging sensor 20 can be pasted on the front and rear sides of the bottom of the interferometer, and both take the outer surface of the reference mirror 16 as a benchmark, and measure the average distance of the reference arm 1 after calibration as the distance between the measured mirror 17 and the reference mirror 16. The absolute distance value, the cavity length value can be obtained, which is brought into the algorithm design process. At the same time, the laser ranging sensor 20 is connected to the computer through its own data line, and the computer reads the average value of the measured distance values as necessary data for calculating the cavity length coefficient.

在完成以上过程以后,便完成了算法预分析和数据采集,下一步是在测量时,直接在计算中中输入被测件的厚度与折射率的值,读取当前的实际腔长值,为测距传感器测得,通过与当前腔长值相匹配的加权采样函数对采集到的的干涉图进行计算,便可以得到解相结果,简单计算以后就可以得到被测元件各表面的形貌分布。如图9、图10所示,图10残差单位为um,通过结果可以看出本发明提出的技术可以很好地实现对透明平行平板的多表面干涉解相与测量过程,残差在亚纳米级别,测量精度很高。After completing the above process, the algorithm pre-analysis and data acquisition are completed. The next step is to directly input the thickness and refractive index of the measured part in the calculation during the measurement, and read the current actual cavity length value, which is Measured by the ranging sensor, the acquired interferogram can be calculated by the weighted sampling function that matches the current cavity length value, and the phase solution result can be obtained. After simple calculation, the topography distribution of each surface of the measured element can be obtained. . As shown in Fig. 9 and Fig. 10, the residual unit of Fig. 10 is um. It can be seen from the results that the technology proposed by the present invention can well realize the multi-surface interference phase solution and measurement process of the transparent parallel plate, and the residual is in the sub-sub At the nanometer level, the measurement accuracy is very high.

附:不同N对应的V1--V6具体构成:Attachment: The specific composition of V 1 -V 6 corresponding to different N:

N=9,采集帧数H=57,V1N=9, number of acquisition frames H=57, V 1 :

V1=[0.2222,1.5556,6.2222,18.6667,46.6667,102.6667,205.3333,381.3333,667.3333,1241.3333,1899.3333,2837.3333,4125.3333,5833.3333,8025.3333,10752,14042,17892,22129.3333,26931.3333,32041.3333,37294.6667,42494.6667,47422.6667,51851.3333,55561.3333,58361.3333,60111.3333,60749.3333,60111.3333,58361.3333,55561.3333,51851.3333,47422.6667,42494.6667,37294.6667,32041.3333,26931.3333,22129.3333,17892,14042,10752,8025.3333,5833.3333,4125.3333,2837.3333,1899.3333,1241.3333,667.3333,381.3333,205.3333,102.6667,46.6667,18.6667,6.2222,1.5556];V 1 =[0.2222,1.5556,6.2222,18.6667,46.6667,102.6667,205.3333,381.3333,667.3333,1241.3333,1899.3333,2837.3333,4125.3333,5833.3333,8025.3333,10752,14042,17892,22129.3333,26931.3333,32041.3333,37294.6667,42494.6667, 47422.6667,51851.3333,55561.3333,58361.3333,60111.3333,60749.3333,60111.3333,58361.3333,55561.3333,51851.3333,47422.6667,42494.6667,37294.6667,32041.3333,26931.3333,22129.3333,17892,14042,10752,8025.3333,5833.3333,4125.3333,2837.3333,1899.3333,1241.3333, 667.3333, 381.3333, 205.3333, 102.6667, 46.6667, 18.6667, 6.2222, 1.5556];

N=10,采集帧数H=64,V2:N=10, number of acquisition frames H=64, V 2 :

V2=[0.2,1.4,5.6,16.8,42,92.4,184.8,343.2,600.6,1001,1894.2,2759.4,3967.6,5602.8,7752,10500,13923,18081,23009,28707,34839,41905,49476,57372,65373,73227,80661,87395,93159,97713,100870,102522,102522,100870,97713,93159,87395,80661,73227,65373,57372,49476,41905,34839,28707,23009,18081,13923,10500,7752,5602.8,3967.6,2759.4,1894.2,1001,600.6,343.2,184.8,92.4,42,16.8,5.6,1.4,0.2];V 2 = [0.2, 1.4, 5.6, 16.8, 42, 92.4, 184.8, 343.2, 600.6, 1001, 1894.2, 2759.4, 3967.6, 5602.8, 7752, 10500, 13923, 18081, 23009, 28707, 34839, 419 57372,65373,73227,80661,87395,93159,97713,100870,102522,102522,100870,97713,93159,87395,80661,73227,65373,57372,49476,41905,34839,28707,23009,18081,13923, 10500,7752,5602.8,3967.6,2759.4,1894.2,1001,600.6,343.2,184.8,92.4,42,16.8,5.6,1.4,0.2];

N=11,采集帧数H=71,V3:N=11, the number of acquisition frames H=71, V 3 :

V3=[1.2727,5.0909,15.2727,38.1818,84,168,312,546,910,1456,2836.9091,3954.3636,5485.4545,7528.3636,10186.9091,13566,17766,22876,28966,36078,44216,52750.7273,62767.0909,73534.3636,84859.0909,96500.7273,108178,119578,130368,140210,148778,155778,160970.7273,164197.0909,165406.3636,164197.0909,160970.7273,155778,148778,140210,130368,119578,108178,96500.7273,84859.0909,73534.3636,62767.0909,52750.7273,44216,36078,28966,22876,17766,13566,10186.9091,7528.3636,5485.4545,3954.3636,2836.9091,1456,910,546,312,168,84,38.1818,15.2727,5.0909,1.2727,0.1818];V 3 =[1.2727,5.0909,15.2727,38.1818,84,168,312,546,910,1456,2836.9091,3954.3636,5485.4545,7528.3636,10186.9091,13566,17766,22876,28966,36078,44216,52750.7273,62767.0909,73534.3636,84859.0909,96500.7273,108178, 119578,130368,140210,148778,155778,160970.7273,164197.0909,165406.3636,164197.0909,160970.7273,155778,148778,140210,130368,119578,108178,96500.7273,84859.0909,73534.3636,62767.0909,52750.7273,44216,36078,28966,22876, 17766,13566,10186.9091,7528.3636,5485.4545,3954.3636,2836.9091,1456,910,546,312,168,84,38.1818,15.2727,5.0909,1.2727,0.1818];

N=12,采集帧数H=78,V4:N=12, the number of acquisition frames H=78, V 4 :

V4=[0.1667,1.1667,4.6667,14,35,77,154,286,500.5,834.1667,1334.6667,2062.6667,4170.8333,5591.8333,7505.3333,10024,13268.5,17363.5,22432.6667,28592.6667,35946.1667,44573.8333,54525.3333,65809.3333,77308,91084,105910,121580.6667,137837.1667,154372.1667,170837.3333,186853.3333,202022.3333,215943,228228,238524,246534.1667,252043.1667,254944.6667,254944.6667,252043.1667,246534.1667,238524,228228,215943,202022.3333,186853.3333,170837.3333,154372.1667,137837.1667,121580.6667,105910,91084,77308,65809.3333,54525.3333,44573.8333,35946.1667,28592.6667,22432.6667,17363.5,13268.5,10024,7505.3333,5591.8333,4170.8333,2062.6667,1334.6667,834.1667,500.5,286,154,77,35,14,4.6667,1.1667,0.1667];V 4 =[0.1667,1.1667,4.6667,14,35,77,154,286,500.5,834.1667,1334.6667,2062.6667,4170.8333,5591.8333,7505.3333,10024,13268.5,17363.5,22432.6667,28592.6667,35946.1667,44573.8333,54525.3333,65809.3333,77308,91084, 105910,121580.6667,137837.1667,154372.1667,170837.3333,186853.3333,202022.3333,215943,228228,238524,246534.1667,252043.1667,254944.6667,254944.6667,252043.1667,246534.1667,238524,228228,215943,202022.3333,186853.3333,170837.3333,154372.1667,137837.1667,121580.6667, 105910,91084,77308,65809.3333,54525.3333,44573.8333,35946.1667,28592.6667,22432.6667,17363.5,13268.5,10024,7505.3333,5591.8333,4170.8333,2062.6667,1334.6667,834.1667,500.5,286,154,77,35,14,4.6667,1.1667, 0.1667];

N=13,采集帧数H=85,V5:N=13, the number of acquisition frames H=85, V 5 :

V5=[0.1538,1.0769,4.3077,12.9231,32.3077,71.0769,142.1538,264,462,770,1232,1904,2856,6021.0769,7803.5385,10166.1538,13236.4615,17152.1538,22057.5385,28099.0769,35420,44154,54418,66304,79870,95130,110198.3077,128676.1538,148560.6154,169635.8462,191626.6154,214202.1538,236982.3077,259546,281442,302202,321356,338450,353066,364844.3077,373508.1538,378890.6154,380963.8462,378890.6154,373508.1538,364844.3077,353066,338450,321356,302202,281442,259546,236982.3077,214202.1538,191626.6154,169635.8462,148560.6154,128676.1538,110198.3077,95130,79870,66304,54418,44154,35420,28099.0769,22057.5385,17152.1538,13236.4615,10166.1538,7803.5385,6021.0769,2856,1904,1232,770,462,264];V 5 =[0.1538,1.0769,4.3077,12.9231,32.3077,71.0769,142.1538,264,462,770,1232,1904,2856,6021.0769,7803.5385,10166.1538,13236.4615,17152.1538,22057.5385,28099.0769,35420,44154,54418,66304,79870, 95130,110198.3077,128676.1538,148560.6154,169635.8462,191626.6154,214202.1538,236982.3077,259546,281442,302202,321356,338450,353066,364844.3077,373508.1538,378890.6154,380963.8462,378890.6154,373508.1538,364844.3077,353066,338450,321356,302202, 281442,259546,236982.3077,214202.1538,191626.6154,169635.8462,148560.6154,128676.1538,110198.3077,95130,79870,66304,54418,44154,35420,28099.0769,22057.5385,17152.1538,13236.4615,10166.1538,7803.5385,6021.0769,2856,1904,1232, 770,462,264];

N=14,采集帧数H=92,V6:N=14, the number of acquisition frames H=92, V 6 :

V6=[0.1429,1,4,12,30,66,132,245.1429,429,715,1144,1768,2652,3876,8539.1429,10748,13634,17340,22021,27841,34969,43574.1429,53820,65858,79820,95810,113895,134095,153372.1429,177637,203727,231417,260417,290375,320882,351479.1429,381667,410917,438685,464427,487617,507767,524449.1429,537320,546147,550837,550837,546147,537320,524449.1429,507767,487617,464427,438685,410917,381667,351479.1429,320882,290375,260417,231417,203727,177637,153372.1429,134095,113895,95810,79820,65858,53820,43574.1429,34969,27841,22021,17340,13634,10748,8539.1429]。V 6 = [0.1429,1,4,12,30,66,132,245.1429,429,715,1144,1768,2652,3876,8539.1429,10748,13634,17340,22021,27841,34,969,43570.1495829,58 113895,134095,153372.1429,177637,203727,231417,260417,290375,320882,351479.1429,381667,410917,438685,464427,487617,507767,524449.1429,537320,546147,550837,550837,546147,537320,524449.1429,507767, 487617,464427,438685,410917,381667,351479.1429,320882,290375,260417,231417,203727,177637,153372.1429,134095,113895,95810,79820,65858,53820,43574.1429,34969,27841,22021,17340,13634, 10748, 8539.1429].

本实施例一种基于预分析的任意腔长下干涉加权采样解相分析方法和测量系统应对多表面透明被测件的混叠干涉测量问题,包括算法设计以及硬件实现两个部分:在算法的自动化设计层面,主要是分为以下几个过程。首先根据加权多步采样算法特性,对一定范围内的移相参考系数和腔长系数进行二重迭代;然后对基于泽尼克多项式干涉模拟以及多步加权离散采样的算法结果取最大误差的均方差进行判别,当各信息的分离误差小于1.2um时则判定算法可用,否则判定为不可用,而后将该信息储存在预分析矩阵中;再在实际使用时,因为硬件设计部分使用激光测距传感器实现被测件距离的自动测量,因此在操作时只需要输入被测件的厚度以及反射率信息,则调用预分析矩阵后可以自动对算法中具体参数进行选取和设计,将从6个待用算法中选取可用值进行加权多步采样计算;然后在算法参数选取好以后再进行实验方案的制定与干涉仪的干涉图采集,其中采集帧数和移相值与移相参考系数有关。测量时只需要输入被测件的厚度值与折射率便可以自动地进行各表面信息的测量。在硬件方面:使用激光测距传感器、夹具组合与导轨的配合实现自动化算法的高精度实现,夹具组合包括夹具以及导轨架两部分。通过预分析求取的适合当前工况的移相值后反向进行算法设计与实验采集方案的制定与算法的自动设计。该技术能够很好地完成任意腔长下的解相瓶颈问题,并且因为算法是自动设计的,降低了技术应用成本和设计成本,拓宽了波长移相干涉技术的应用范围。本实施例方法和测试系统解决干涉测量中的解相问题,特别是对于加权多步采样算法中一种算法智能应用于较窄范围的离散腔长条件的测量局限性问题。本实施例方法和测试系统通过对解相算法进行预分析从而自动设计算法参数的解相技术方案,包括算法库的设计方法、算法及实验方案的自动设计技术;能够很好地完成任意腔长下的解相瓶颈问题,并且因为算法是自动设计的,降低了技术应用成本和设计成本,拓宽了波长移相干涉技术的应用范围,方法简单易行,成本低,适合推广使用。In this embodiment, an interferometric weighted sampling dephasing analysis method and measurement system based on pre-analysis with arbitrary cavity lengths to deal with the aliasing interferometry problem of multi-surface transparent DUTs, including algorithm design and hardware implementation. The automation design level is mainly divided into the following processes. Firstly, according to the characteristics of the weighted multi-step sampling algorithm, double iteration is performed on the phase-shifting reference coefficient and cavity length coefficient within a certain range; then the mean square error of the maximum error is obtained for the algorithm results based on Zernike polynomial interference simulation and multi-step weighted discrete sampling. To judge, when the separation error of each information is less than 1.2um, the algorithm is judged to be available, otherwise it is judged to be unavailable, and then the information is stored in the pre-analysis matrix; in actual use, because the hardware design part uses laser ranging sensors Realize the automatic measurement of the distance of the DUT, so you only need to input the thickness and reflectivity information of the DUT during operation. After calling the pre-analysis matrix, the specific parameters in the algorithm can be automatically selected and designed. In the algorithm, the available values are selected for weighted multi-step sampling calculation; then after the algorithm parameters are selected, the experimental scheme is formulated and the interferometer interferogram acquisition is carried out, in which the number of acquisition frames and the phase shift value are related to the phase shift reference coefficient. When measuring, only need to input the thickness value and refractive index of the measured part, and then the measurement of each surface information can be performed automatically. In terms of hardware: use the laser ranging sensor, the combination of the fixture and the guide rail to realize the high-precision realization of the automation algorithm. The fixture combination includes two parts: the fixture and the guide rail frame. Algorithm design and experimental acquisition scheme formulation and algorithm automatic design are carried out in reverse after the phase-shift value that is suitable for the current working condition obtained by pre-analysis. The technology can well solve the phase bottleneck problem under any cavity length, and because the algorithm is automatically designed, the technical application cost and design cost are reduced, and the application scope of the wavelength-shifting interferometry technology is broadened. The method and test system of the present embodiment solve the problem of phase resolution in interferometric measurement, especially the problem of measurement limitation that an algorithm in the weighted multi-step sampling algorithm is intelligently applied to a narrow range of discrete cavity length conditions. The method and test system of the present embodiment automatically design a phase-resolving technical scheme for algorithm parameters by pre-analyzing the phase-resolving algorithm, including the algorithm library design method, the algorithm and the automatic design technology of the experimental scheme; it can well complete any cavity length. And because the algorithm is automatically designed, the technical application cost and design cost are reduced, and the application scope of the wavelength phase-shifting interference technology is broadened. The method is simple, easy to implement, low in cost, and suitable for promotion.

上面对本发明实施例结合附图进行了说明,但本发明不限于上述实施例,还可以根据本发明的发明创造的目的做出多种变化,凡依据本发明技术方案的精神实质和原理下做的改变、修饰、替代、组合或简化,均应为等效的置换方式,只要符合本发明的发明目的,只要不背离本发明基于预分析的任意腔长下干涉加权采样解相分析方法及测量系统的技术原理和发明构思,都属于本发明的保护范围。The embodiments of the present invention have been described above in conjunction with the accompanying drawings, but the present invention is not limited to the above-mentioned embodiments, and various changes can also be made according to the purpose of the invention and creation of the present invention. Changes, modifications, substitutions, combinations or simplifications should be equivalent substitution methods, as long as they meet the purpose of the present invention, as long as they do not deviate from the pre-analysis-based interference-weighted sampling dephasing analysis method and measurement for any cavity length in the present invention The technical principle and inventive concept of the system all belong to the protection scope of the present invention.

Claims (6)

1.一种基于预分析的任意腔长下干涉加权采样解相分析方法,其特征在于,包括以下过程和步骤:1. an arbitrary cavity length based on pre-analysis, an interference weighted sampling dephase analysis method, is characterized in that, comprises the following process and steps: a.根据加权多步采样算法特性,对一定范围内的移相参考系数和腔长系数进行二重迭代;a. According to the characteristics of the weighted multi-step sampling algorithm, double iteration is performed on the phase-shifting reference coefficient and cavity length coefficient within a certain range; b.对基于泽尼克多项式干涉模拟以及加权多步采样算法的算法结果取最大误差的均方差进行判别,当各信息的分离误差小于1.2um时则判定算法可用,否则判定为不可用,而后将该信息储存在预分析矩阵中;b. The algorithm results based on Zernike polynomial interference simulation and weighted multi-step sampling algorithm are judged by the mean square error of the maximum error. When the separation error of each information is less than 1.2um, the algorithm is judged to be available, otherwise it is judged to be unavailable, and then the This information is stored in a pre-analysis matrix; c.使用激光测距传感器对被测件距离进行测量,设定被测件的厚度以及反射率信息,调用预分析矩阵,对算法中的具体参数进行选取和设计,将从算法库中选取可用值进行加权多步采样计算;c. Use the laser ranging sensor to measure the distance of the DUT, set the thickness and reflectivity information of the DUT, call the pre-analysis matrix, select and design the specific parameters in the algorithm, and select the available parameters from the algorithm library. value for weighted multi-step sampling calculation; d.在算法参数选取好以后,再进行干涉仪的干涉图采集,其中采集帧数和移相值与移相参考系数有关,测量时设定输入被测件的厚度值与折射率,进行被测件的各表面信息的测量。d. After the algorithm parameters are selected, the interferogram acquisition of the interferometer is carried out. The number of acquisition frames and the phase-shift value are related to the phase-shift reference coefficient. During the measurement, set the thickness value and refractive index of the input test piece to be measured. Measurement of each surface information of the test piece. 2.根据权利要求1所述基于预分析的任意腔长下干涉加权采样解相分析方法,其特征在于:在制定迭代和取值判定方法过程中,对于每一个腔长系数,使其1个步距之内的右侧刻度对应的移相参考系数值同时满足当前移相参考系数与其右侧紧邻移相参考系数的条件,取实际腔长系数所在刻度范围的右侧刻度值作为预估值,再通过该预估值对移相参考系数进行选取;通过移相参考系数和腔长系数的定位与选取以后,再进行采样函数的计算,完成算法设计准备过程。2. The interferometric weighted sampling solution phase analysis method based on pre-analysis according to claim 1, characterized in that: in the process of formulating iteration and value determination method, for each cavity length coefficient, make 1 The phase-shifting reference coefficient value corresponding to the right scale within the step distance satisfies the condition of the current phase-shifting reference coefficient and its adjacent phase-shifting reference coefficient on the right side, and the right scale value of the scale range where the actual cavity length coefficient is located is taken as the estimated value , and then select the phase-shift reference coefficient through the estimated value; after the positioning and selection of the phase-shift reference coefficient and the cavity length coefficient, the calculation of the sampling function is performed to complete the algorithm design preparation process. 3.根据权利要求1所述基于预分析的任意腔长下干涉加权采样解相分析方法,其特征在于:进行多表面透明被测件的混叠干涉测量,通过对不同的腔长系数和移相参考系数进行二重迭代,先对移相参考系数进行迭代,迭代过程中将腔长系数的迭代纳入计算过程,从而得到在不同腔长系数下以及不同移相参考系数下的各表面求解的去包裹以后的相位结果,进而求解各表面面形结果,并主要考虑被测件的前表面、后表面以及厚度变化这三个信息。3. The interferometric weighted sampling solution phase analysis method based on pre-analysis according to claim 1, characterized in that: carrying out the aliasing interferometry of the multi-surface transparent DUT, by comparing different cavity length coefficients and shifts. The phase reference coefficients are double-iterated. First, the phase-shift reference coefficients are iterated. In the iterative process, the iteration of the cavity length coefficients is included in the calculation process, so as to obtain the solution of each surface under different cavity length coefficients and different phase-shift reference coefficients. To wrap the later phase results, and then solve the surface shape results, and mainly consider the three information of the front surface, the back surface and the thickness change of the tested part. 4.一种基于预分析的任意腔长下干涉加权采样的测量系统,采用权利要求1所述基于预分析的任意腔长下干涉加权采样解相分析方法,其特征在于:所述测量系统主要包括激光测距传感器(20)、夹具组合(18)与导轨(19)的配合装置,夹具组合(18)包括夹具以及导轨架(7);4. A measurement system based on the interference weighted sampling under the arbitrary cavity length based on pre-analysis, adopts the interference weighted sampling solution phase analysis method based on the arbitrary cavity length based on the pre-analysis of claim 1, it is characterized in that: the described measurement system mainly A matching device comprising a laser ranging sensor (20), a clamp assembly (18) and a guide rail (19), the clamp assembly (18) comprising a clamp and a guide rail frame (7); 导轨架(7)两端设置可调节参考臂(1),可调节参考臂(1)内侧有齿条(3)与有齿(5)的旋钮(4)进行配合传动;旋钮(4)底端为螺杆(6),与导轨架(7)内部底端的螺纹孔(8)进行螺纹连接,旋钮(4)与可调节参考臂(1)在导轨架(7)两端各一个;可调节参考臂(1)上根据激光器波长涂抹高反射率涂层(2),以配合激光测距传感器(20)的工作;Adjustable reference arms (1) are provided at both ends of the guide rail frame (7), and the adjustable reference arm (1) has a rack (3) on the inner side to cooperate with a knob (4) with teeth (5) for transmission; the bottom of the knob (4) The end is a screw (6), which is threadedly connected to the threaded hole (8) at the inner bottom end of the guide rail frame (7). The knob (4) and the adjustable reference arm (1) are located at each end of the guide rail frame (7); adjustable The reference arm (1) is coated with a high reflectivity coating (2) according to the wavelength of the laser, so as to cooperate with the work of the laser ranging sensor (20); 被测镜(17)被夹具组合(18)夹持;夹具夹持参考镜(16)以后,通过夹具装配螺纹孔(11)与导轨架(7)进行组合;导轨架(7)由上下两个中空腔体组成,下方开槽,使导轨架(7)卡在导轨(19)上并且进行配合运动;导轨架(7)的上方开导轨架装配螺纹孔(10)通过螺栓(9)进行导轨架上下结构的组装;可调节参考臂(1)通过两端的参考臂导槽(25)卡在导轨架(7)两侧的槽中并且进行运动;The mirror under test (17) is clamped by the fixture assembly (18); after the reference mirror (16) is clamped by the fixture, it is combined with the guide rail frame (7) through the clamp assembly screw hole (11); It is composed of a hollow cavity, and the bottom is slotted so that the guide rail frame (7) can be clamped on the guide rail (19) and cooperated with the movement; the upper part of the guide rail frame (7) is opened with threaded holes (10) for assembly of the guide rail frame through bolts (9). Assembly of the upper and lower structures of the guide rail frame; the adjustable reference arm (1) is clamped in the grooves on both sides of the guide rail frame (7) through the reference arm guide grooves (25) at both ends and moves; 通过旋转旋钮(4)控制可调节参考臂(1)进行前后移动,进而实现与被测镜(17)前表面的校正以及激光测距传感器(20)的测距;激光测距传感器(20)设置在干涉仪底部的前后两侧各一个,均以参考镜(16)的外表面作为基准,测量已经校准后的可调节参考臂(1)的距离均值作为被测镜(17)与参考镜(16)的绝对距离值,从而得到腔长值;激光测距传感器(20)与上位计算机信号连接,计算机读取其测得的距离值均值,作为计算腔长系数的数据信息。The adjustable reference arm (1) is controlled by rotating the knob (4) to move back and forth, so as to realize the correction with the front surface of the measured mirror (17) and the distance measurement of the laser ranging sensor (20); the laser ranging sensor (20) One is arranged on the front and back sides of the bottom of the interferometer, and the outer surface of the reference mirror (16) is used as the benchmark to measure the average distance of the calibrated adjustable reference arm (1) as the measured mirror (17) and the reference mirror. The absolute distance value of (16) is obtained to obtain the cavity length value; the laser ranging sensor (20) is connected to the upper computer signal, and the computer reads the average value of the measured distance value as the data information for calculating the cavity length coefficient. 5.根据权利要求4所述基于预分析的任意腔长下干涉加权采样的测量系统,其特征在于:被测件被夹具组合(18)的夹具夹持,使得被测透明平行平板,能够垂直于工作台,使得被测平行平板与干涉仪的参考镜(16)外表面平行,并且通过调整夹具的位置,使得被测件的前后表面与参考镜(16)的外边面之间分别产生干涉。5. The measurement system based on the interference weighted sampling under the arbitrary cavity length of the pre-analysis according to claim 4, is characterized in that: the measured part is clamped by the clamp of the clamp combination (18), so that the measured transparent parallel plate can be vertically On the workbench, make the parallel plate under test parallel to the outer surface of the reference mirror (16) of the interferometer, and adjust the position of the fixture so that the front and rear surfaces of the test piece and the outer surface of the reference mirror (16) interfere respectively. . 6.根据权利要求4所述基于预分析的任意腔长下干涉加权采样的测量系统,其特征在于:所述导轨架(7)底端与工作台上的导轨(19)相配合进行移动,夹具的垂直高度中心对准干涉仪外表面圆心。6. The measurement system of interference weighted sampling based on pre-analyzed arbitrary cavity length according to claim 4, characterized in that: the bottom end of the guide rail frame (7) cooperates with the guide rail (19) on the worktable to move, The vertical height center of the fixture is aligned with the center of the outer surface of the interferometer.
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