亚微弧度级激光跟踪转镜装配误差分析

doi:10.3901/JME.2016.10.009

机械工程学报 ›› 2016, Vol. 52 ›› Issue (10): 9-16.doi: 10.3901/JME.2016.10.009

亚微弧度级激光跟踪转镜装配误差分析

李安虎¹, 左其友¹, 卞永明¹, 刘宏展², 刘立人³

1. 同济大学机械与能源工程学院上海 200092;
2. 华南师范大学信息光电子科技学院广州 510006;
3. 中国科学院上海光学精密机械研究所上海 201800

出版日期:2016-05-15 发布日期:2016-05-15
作者简介:李安虎,男,1974年出生,教授,博士研究生导师。主要研究方向为机械测试理论、方法与技术。E-mail：lah @tongji.edu.cn
基金资助:
国家自然科学基金资助项目(51375347,61475049)

Assembly Error Analysis of Laser Tracking Steering Prisms with Sub-microradian Order Accuracy

LI Anhu¹, ZUO Qiyou¹, BIAN Yongming¹, LIU Hongzhan², LIU Liren³

1. School of Mechanical Engineering, Tongji University, Shanghai 200092;
2. School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510006;
3. Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800

Online:2016-05-15 Published:2016-05-15

摘要/Abstract

摘要： 围绕亚微弧度量级激光跟踪转镜的光束指向精度问题,提出空间正交光学系统安装误差的分析方法。基于矢量折射定理的光线追击法,建立棱镜安装误差的归一化数学模型,分析不同安装误差对光束指向精度的影响,实现光束指向误差的定量分析。棱镜Π₁相对y轴的安装倾斜大于0.08″会导致出射光垂直张角ρ_V误差达到0.21 μrad,相对于x轴的安装倾斜大于0.2″会导致水平张角ρ_H误差达到0.5 μrad;棱镜Π₂相对z轴的安装倾斜大于0.2″会导致水平张角ρ_H误差达到0.22 μrad,而棱镜轴承的安装误差对光束指向精度的影响较小。研究结果为高精度光学跟踪系统设计提供了理论依据。

关键词: 光学器件, 激光跟踪, 亚微弧度级, 装配误差

Abstract: Focusing on the issue of the sub-microradian order tracking accuracy of cascade tilting prisms, the analysis method of the assembly error of spatial orthogonal optical system is proposed. Based on the vector form Snell’s law for ray tracing, a normalized mathematical model of the prism assembly error is established, the influence of different error factors on beam tracking field is analyzed, and the quantitative analysis for the beam pointing error is carried out. For prism Π₁, if the inclination angle relative to y axis is greater than 0.08″, the error of vertical angle ρ_V for emergent light emergent light reaches 0.21 μrad, if the inclination angle relative to x axis is greater than 0.2″, the error of horizontal angle ρ_H for emergent light emergent light reaches 0.5 μrad. For prism Π₂, if the inclination angle relative to z axis is greater than 0.2″,the error of horizontal angle ρ_H for emergent light reaches 0.22 μrad, but the bearing assembly errors has little influence on the beam pointing errors. The study results has a great theoretical significance on the development of high-accuracy optical system.

Key words: assembly errors, laser tracking, optical device, sub-microradian order

中图分类号:

TH74

李安虎, 左其友, 卞永明, 刘宏展, 刘立人. 亚微弧度级激光跟踪转镜装配误差分析[J]. 机械工程学报, 2016, 52(10): 9-16.

LI Anhu, ZUO Qiyou, BIAN Yongming, LIU Hongzhan, LIU Liren. Assembly Error Analysis of Laser Tracking Steering Prisms with Sub-microradian Order Accuracy[J]. Journal of Mechanical Engineering, 2016, 52(10): 9-16.

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亚微弧度级激光跟踪转镜装配误差分析

Assembly Error Analysis of Laser Tracking Steering Prisms with Sub-microradian Order Accuracy

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