1.23 m SiC主镜的本征模式主动光学校正

朱熠; 陈涛; 王建立; 李宏壮; 吴小霞

doi:10.3788/OPE.20172510.2551

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1.23 m SiC主镜的本征模式主动光学校正

地基大口径光学工程 | 更新时间：2020-08-13

- 1.23 m SiC主镜的本征模式主动光学校正
- Active correction of 1.23 m SiC mirror using bending mode
- 光学精密工程 2017年25卷第10期页码：2551-2563
- 作者机构：
  
  中国科学院长春光学精密机械与物理研究所, 吉林长春 130033
- 作者简介：
  
  [ "朱熠(1987-), 男, 辽宁沈阳人, 博士研究生, 2011年于大连理工大学获得学士学位, 主要从事主动光学和面型主动校正的研究.E-mail:13998211017@139.com" ]
  李宏壮(1980-), 男, 黑龙江巴彦人, 博士, 研究员, 2003年于吉林大学获得学士学位, 2008年于中科院长春光学精密机械与物理研究所获得博士学位, 主要从事主动光学、光学设计和光学测试的研究.E-mail:jilinbayan@163.com LI Hong-zhuang, E-mail:jilinbayan@163.com
- 基金信息：
  
  国家自然科学基金资助项目(61605199)
- DOI：10.3788/OPE.20172510.2551
  中图分类号： TH703;TH743
- 收稿日期：2017-06-01，
  
  录用日期：2017-7-4，
  
  纸质出版日期：2017-10-25
- 稿件说明：
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朱熠, 陈涛, 王建立, 等. 1.23 m SiC主镜的本征模式主动光学校正[J]. 光学精密工程, 2017,25(10):2551-2563.

Yi ZHU, Tao CHEN, Jian-li WANG, et al. Active correction of 1.23 m SiC mirror using bending mode[J]. Optics and precision engineering, 2017, 25(10): 2551-2563.
朱熠, 陈涛, 王建立, 等. 1.23 m SiC主镜的本征模式主动光学校正[J]. 光学精密工程, 2017,25(10):2551-2563. DOI： 10.3788/OPE.20172510.2551.

Yi ZHU, Tao CHEN, Jian-li WANG, et al. Active correction of 1.23 m SiC mirror using bending mode[J]. Optics and precision engineering, 2017, 25(10): 2551-2563. DOI： 10.3788/OPE.20172510.2551.

摘要

采用直接最小二乘法和自由谐振法对大口径高刚度SiC主镜进行主动校正易引入较多解算误差，故本文提出以主镜的本征模式进行主镜面型校正来优化解算校正力幅值，以改进系统校正效果。该方法首先对主镜的响应矩阵进行一系列数学转换，得到一组相互正交的主镜本征模式，然后以各模式面形拟合校正目标，解算校正力。对1.23 m SiC主镜和主动支撑系统进行了有限元建模，通过仿真验证了提出方法的正确性。在此基础上，在搭建的1.23 m SiC主镜主动光学实验系统上进行了主动光学校正实验，并针对实验系统进一步优化了提出的方法。实验结果显示：利用该方法可将实验系统主镜面形误差由0.23λRMS校正至0.048λRMS，表明以主镜本征模式进行主动校正，可有效抑制解算校正力幅值，提高系统校正能力。该方法适用于大口径、高刚度SiC主镜的主动校正。

Abstract

As active correction of a large aperture SiC mirror with high stiffness is vulnerable to many calculation errors by direction least square method or free resonance method

this paper proposes a primary surface correction algorithm using bending mode to calculate and optimize the active force and to improve the correction capability. Firstly

a series of mathematical transformations were performed on the influence matrix of the primary mirror

and a set of orthogonal bending modes of primary mirror were obtained. Then

correction targets were fitted in bending modes to calculate the correction force. An 1.23 m SiC mirror and a support system were modeled by finite element analysis and the algorithm was verified by simulation experiments. Moreover

an active support system for the 1.23 m SiC mirror was set up to correct primary surface and a further optimization for the algorithm was conducted based on this system. The experiments show that the surface error is corrected from 0.23λ RMS to 0.048λ RMS by the proposed bending mode. Results of analysis and experiment demonstrate that the algorithm by bending mode efficiently reduces active force ranges and improves correction capability. It is significant for the active correction of large aperture SiC mirrors with high stiffness.

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references

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