被测件随机移相干涉面形测量方法

赵维谦; 李文宇; 赵齐; 邱丽荣; 王允

doi:10.3788/OPE.20162409.2167

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被测件随机移相干涉面形测量方法

现代应用光学 | 更新时间：2020-07-07

- 被测件随机移相干涉面形测量方法
- Surface measurement by randomly phase shifting interferometry of measured element
- 光学精密工程 2016年24卷第9期页码：2167-2172
- 作者机构：
  
  北京理工大学光电学院, 北京 100081
- 作者简介：
  
  [ "赵维谦(1966-), 男, 新疆伊宁人, 教授, 博士生导师, 1993年, 2003年于哈尔滨工业大学分别获得硕士、博士学位, 主要从事光学测量领域的研究。E-mail:zwq669@126.com" ]
  王允(1984-), 男, 山东威海人, 博士, 讲师, 硕士生导师, 2013年于北京理工大学获得博士学位, 主要从事精密光电测试技术与仪器装备方面的原理方法、关键技术以及仪器装备系统集成技术的研究及应用。E-mail:alotrabbits@163.com E-mail:alotrabbits@163.com
- 基金信息：
  
  国家重大科学仪器设备开发专项资助项目(61327010);国家自然科学基金青年基金资助项目(51405020)
- DOI：10.3788/OPE.20162409.2167
  中图分类号： TH741.3
- 收稿日期：2016-05-05，
  
  录用日期：2016-6-14，
  
  纸质出版日期：2016-09
- 稿件说明：
移动端阅览
赵维谦, 李文宇, 赵齐, 等. 被测件随机移相干涉面形测量方法[J]. 光学精密工程, 2016,24(9):2167-2172.

Wei-qian ZHAO, Wen-yu LI, Qi ZHAO, et al. Surface measurement by randomly phase shifting interferometry of measured element[J]. Optics and precision engineering, 2016, 24(9): 2167-2172.
赵维谦, 李文宇, 赵齐, 等. 被测件随机移相干涉面形测量方法[J]. 光学精密工程, 2016,24(9):2167-2172. DOI： 10.3788/OPE.20162409.2167.

Wei-qian ZHAO, Wen-yu LI, Qi ZHAO, et al. Surface measurement by randomly phase shifting interferometry of measured element[J]. Optics and precision engineering, 2016, 24(9): 2167-2172. DOI： 10.3788/OPE.20162409.2167.

摘要

针对光学元件的面形测量，提出了一种被测件随机移相干涉面形测量法，用于降低移相干涉仪的成本，避免移相器老化产生的移相误差对面形检测精度的影响。该方法利用微位移驱动器驱动被测件在摩擦气浮复合导轨上移动进行随机移相并用相机采集若干幅干涉图；然后利用最小二乘迭代算法处理干涉图数据进而迭代出被测表面相位分布；最后进行一系列数据处理求解出被测件的面形结果。为了验证该方法的可行性，在实验室搭建了改进的斐索移相干涉系统，并选用一个凹面镜和一个平面镜作为被测件在搭建的系统上进行了实验测试，同时与同台仪器上的传统移相方法得到的测量结果进行了比对。结果表明：在激光光源波长

为632.8 nm的情况下，凹球面镜面形PV值和RMS值与传统移相方式测量结果相差0.001

，和0.002

；平面镜面形PV值和RMS值与传统移相方式的测量结果相差0.002

和0.003

，面形数据基本一致。该方法避免了移相器老化引入移相误差，降低了仪器成本，测量精度高。

Abstract

For the surface measurement of optical elements

a surface measurement method by the randomly phase shifting interferometry of measured element was proposed to reduce the cost of phase shifting interferometer and to avoid phase-shifting error caused by an aged phase shifter. A micro-displacement driver was used to drive a measured element to move on a friction type air-bearing slider to implement the random phase shift

meanwhile

several interfere grams were collected by a camera. Then

the interferograms were processed by least-square iteration algorithm and the phase distribution of the measured element surface was iterated. Finally

the surface measurement result was calculated by a series of data processing and the surfaces of measured elements were obtained. To verify the feasibility of the proposed method

a Fazi phase shift interferometer was improved and a concave spherical mirror and a plane mirror were used as measured elements to perform the comparative experiment between the article's method with the traditional phase shifting method on the same instrument. Experimental results indicate that when the laser wavelength

is 632.8 nm

the PV difference and the RMS difference between the two results are only 0.001

and 0.002

respectively for the concave spherical mirror. Moreover

those between the two results are only 0.002

and 0.03

respectively for the plane mirror. These surface data are basically consistent. Experimental results show that the measurement method avoids the phase-shifting error caused by the aged phase shifter

and it has high accuracy and low cost.

关键词

Keywords

references

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