基于高斯光学齐次坐标变换的光机装调

胡春晖; 颜昌翔

doi:10.3788/OPE.20122011.2353

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基于高斯光学齐次坐标变换的光机装调

现代应用光学 | 更新时间：2020-08-12

- 基于高斯光学齐次坐标变换的光机装调
- Optical-mechanical assembly based on Gaussian optical homogeneous coordinate transformation
- 光学精密工程 2012年20卷第11期页码：2353-2359
- 作者机构：
  
  1. 中国科学院长春光学精密机械与物理研究所, 吉林长春 130033
  2. 中国科学院大学,北京 100039
- 作者简介：
- 基金信息：
  
  国防预研基金资助项目(No.O5001SA050)()
- DOI：10.3788/OPE.20122011.2353
  中图分类号： TH703;TH743
- 收稿日期：2012-03-26，
  
  修回日期：2012-05-15，
  
  纸质出版日期：2012-11-10
- 稿件说明：
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胡春晖, 颜昌翔. 基于高斯光学齐次坐标变换的光机装调[J]. 光学精密工程, 2012,20(11): 2353-2359

HU Chun-hui, YAN Chang-xiang. Optical-mechanical assembly based on Gaussian optical homogeneous coordinate transformation[J]. Editorial Office of Optics and Precision Engineering, 2012,20(11): 2353-2359
胡春晖, 颜昌翔. 基于高斯光学齐次坐标变换的光机装调[J]. 光学精密工程, 2012,20(11): 2353-2359 DOI： 10.3788/OPE.20122011.2353.

HU Chun-hui, YAN Chang-xiang. Optical-mechanical assembly based on Gaussian optical homogeneous coordinate transformation[J]. Editorial Office of Optics and Precision Engineering, 2012,20(11): 2353-2359 DOI： 10.3788/OPE.20122011.2353.

摘要

高性能光学系统装调的调整量与光机结构设计相关

而装调所用参考坐标系往往与光学设计所用的坐标系不同。为了精确描述调整量对高斯像位置的影响

本文在基准坐标系下建立了引入装调误差量的高斯光学齐次坐标变换模型。针对具体的光机结构

建立了高斯像像旋和离焦对调整变量的函数

据此计算小的结构变化导致的离轴三反望远物镜高斯像面的移动

结果显示其与光学设计软件对最佳像面位置优化结果的相对差小于4％。利用方差合成方法建立线性规划模型

对17个装调变量做了最宽松的误差分配方案。用Monte Carlo法验证了分配方案

结果表明

该方案在300 m调焦能力下满足各视场10 m的焦深要求。本文的方法忽略了复杂、微小像差的影响

适用于含多个已做内部精装的光学组件或平面反射镜的复杂成像光学系统的装调。

Abstract

The assembly variables of a high performance optical system are dependent on the design of optical and mechanical structure

however

the reference coordinates used in the system assembly are mostly different from those used in optical design. To describe paraxial image motions due to adjustments precisely

the Gaussian optical homogeneous coordinate transformation model with assembly error variables was established under a reference coordinate. According to specified optical-mechanical design

the Gaussian image rotation and defocus as functions of assembly variables were described. Then

the paraxial image motion induced by small deformation of a three-mirror off-axis telescope was calculated

which shows a relative difference less than 4％ compared with that from the optical software optimized image location. By the variance combining method

a linear optimization model was solved to get the loosest error budget for 17 variables and the Monte-Carlo simulation was used to verify the error budget. It indicates that all fields meet the focus depth of 10 m within the focusing ability of 300 m. This method ignores subtle influences caused by aberration

and is favorable for optical systems consisting of plane optical components and near aberration-free components.

关键词

Keywords

references

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