考虑投影畸变设计大口径离轴非球面检测用计算全息图

李明; 罗霄; 薛栋林; 赵晶丽; 郑立功; 张学军

doi:10.3788/OPE.20152305.1246

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考虑投影畸变设计大口径离轴非球面检测用计算全息图

现代应用光学 | 更新时间：2020-08-13

- 考虑投影畸变设计大口径离轴非球面检测用计算全息图
- Design of CGH for testing large off-axis asphere by considering mapping distortion
- 光学精密工程 2015年23卷第5期页码：1246-1253
- 作者机构：
  
  1. 中国科学院大学北京,中国,100049
  2. 中国科学院长春光学精密机械与物理研究所中国科学院光学系统先进制造技术重点实验室,吉林长春,130033
- 作者简介：
- 基金信息：
  
  国家973重点基础研究发展计划资助项目(No.2011CB013205)();国家自然科学基金重点项目(No.61036015)()
- DOI：10.3788/OPE.20152305.1246
  中图分类号： O438.1;TH703
- 收稿日期：2014-01-13，
  
  修回日期：2014-03-05，
  
  纸质出版日期：2015-05-25
- 稿件说明：
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李明, 罗霄, 薛栋林等. 考虑投影畸变设计大口径离轴非球面检测用计算全息图[J]. 光学精密工程, 2015,23(5): 1246-1253

LI Ming, LUO Xiao, XUE Dong-lin etc. Design of CGH for testing large off-axis asphere by considering mapping distortion[J]. Editorial Office of Optics and Precision Engineering, 2015,23(5): 1246-1253
李明, 罗霄, 薛栋林等. 考虑投影畸变设计大口径离轴非球面检测用计算全息图[J]. 光学精密工程, 2015,23(5): 1246-1253 DOI： 10.3788/OPE.20152305.1246.

LI Ming, LUO Xiao, XUE Dong-lin etc. Design of CGH for testing large off-axis asphere by considering mapping distortion[J]. Editorial Office of Optics and Precision Engineering, 2015,23(5): 1246-1253 DOI： 10.3788/OPE.20152305.1246.

摘要

对大口径离轴非球面进行零位补偿检测时

投影畸变过于严重的区域会由于干涉条纹密度过大而无法检测

从而使加工难以进行。针对此问题

本文采用相对畸变参数定量描述投影畸变

设计了自由度更高、补偿能力更强的计算全息图(CGH)检测方法。该方法在CGH设计阶段考虑投影畸变分布

选择合适的光路结构使得所有区域的投影畸变均较小。根据此方法

对直径为1.45 m的离轴非球面设计了比零位补偿器畸变小的CGH。检测实验显示:使用设计的CGH可检测非球面的全口径面形误差

验证了在CGH设计阶段考虑投影畸变的正确性与实用性

表明该方法可解决加工过程中零位补偿器由于投影畸变导致部分区域不能检测的问题。以CGH的检测结果为指导

目前该1.45 m直径的离轴非球面加工精度已达0.374

0.023

RMS。

Abstract

In the process of an asphere fabricating

the part with large mapping distortion in the large caliber off-axis asphere may not be measured by an interferometer due to larger interferometric fringe density. To solve this problem

the parameter named related distortion was used to describe the mapping distortion quantitatively

and a Computer Generated Hologram(CGH) with higher freedom and stronger compensation ability was designed. By taking the mapping distortion distribution into account

the method selected a proper path and allowed all the aspheric surface to have smaller mapping distortion in the design of the CGH. With the method

a CGH with proper paths was designed for testing the 1.45 m off-axis asphere

by which the full map distortion of the system is less than that of the traditional null-lens compensator. The test experiment shows that the designed CGH can test the full map error of the off-axis asphere

which verifies the validity and practicability of the proposed CGH design method and demonstrates that designed CGH with considering test mapping distortion has solved the problem as mentioned above. By this method

the map errors of 1.45 m diameter off-axis asphere are 0.374

PV and 0.023

RMS now.

关键词

Keywords

references

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