接触式大型非球面镜面形测量中测量点分布的确定

李杰; 伍凡; 吴时彬; 匡龙; 林常青

doi:10.3788/OPE.20122004.0727

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接触式大型非球面镜面形测量中测量点分布的确定

现代应用光学 | 更新时间：2020-08-12

- 接触式大型非球面镜面形测量中测量点分布的确定
- Determination of measurement point distribution for contact measurement of large aspheric mirror surface
- 光学精密工程 2012年20卷第4期页码：727-732
- 作者机构：
  
  1. 中国科学院光电技术研究所成都,610209
  2. 中国科学院研究生院
- 作者简介：
- 基金信息：
  
  国家自然科学基金资助项目(No.60838002)()
- DOI：10.3788/OPE.20122004.0727
  中图分类号： TQ171.6+5
- 收稿日期：2011-09-14，
  
  修回日期：2011-12-08，
  
  网络出版日期：2012-04-22，
  
  纸质出版日期：2012-04-22
- 稿件说明：
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李杰, 伍凡, 吴时彬, 匡龙, 林常青. 接触式大型非球面镜面形测量中测量点分布的确定[J]. 光学精密工程, 2012,(4): 727-732

LI Jie, WU Fan, WU Shi-bin, KUANG Long, LIN Chang-qing. Determination of measurement point distribution for contact measurement of large aspheric mirror surface[J]. Editorial Office of Optics and Precision Engineering, 2012,(4): 727-732
李杰, 伍凡, 吴时彬, 匡龙, 林常青. 接触式大型非球面镜面形测量中测量点分布的确定[J]. 光学精密工程, 2012,(4): 727-732 DOI： 10.3788/OPE.20122004.0727.

LI Jie, WU Fan, WU Shi-bin, KUANG Long, LIN Chang-qing. Determination of measurement point distribution for contact measurement of large aspheric mirror surface[J]. Editorial Office of Optics and Precision Engineering, 2012,(4): 727-732 DOI： 10.3788/OPE.20122004.0727.

摘要

为准确有效地检测大型非球面光学元件的面形

研究了接触式测量光学元件的测量点分布方式。使用不同密度的径向分布及均匀分布的测量点分别对以不同Zernike多项式表示的面形偏差进行采样

然后计算采样所得面形相对给定面形PV值及RMS值的最大相对误差

并对计算结果进行了分析。对1.8 m抛物面镜面形实测结果表明:在镜面加工的成型及粗磨阶段

由于面形偏差主要呈旋转对称分布

低密度径向分布测量点即可满足继续加工的检测需求;在精磨及初抛阶段

面形偏差主要为像散或其它非对称面形偏差

测量点均匀分布是提升测量精度的有效手段。此分析方法可以指导测量点的排布方式

从而确保由测量点分布引入的测量误差小于镜面本身面形误差的1/5

提高检测效率。

Abstract

Measurement point distribution in contact measuring large aspheric optical surface was researched. By the radial and uniform measurement points with different density distributions

various surface deviations represented by different Zernike polynomials were sampled respectively. Then

the maximum PV and RMS errors were calculated and analyzed. Measurement results of a 1.8 m parabolic mirror were taken as examples

and it indicates that the low density radial measurement point distribution can meet the measurement needs at the forming and coarse grinding stages because the surface deviations show large rotate-symmetrical forms. Moreover

the uniform distribution of measurement points is an effective way to improve measurement accuracy at fine grinding and initial polishing stages

for the main surface deviations are astigmatism or other asymmetrical aberrations. This method can guide the measurement point distribution

control the measurement error caused by distribution to be less than 1/5 of surface error

and can improve measurement accuracy efficiently.

关键词

Keywords

references

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