离焦像边界对曲率传感精度影响研究

肖春生; 安其昌

doi:10.37188/OPE.20202810.2260

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离焦像边界对曲率传感精度影响研究

微纳技术与精密机械 | 更新时间：2020-11-16

- 离焦像边界对曲率传感精度影响研究
- Influence of defocused image boundary on curvature sensing accuracy
- 光学精密工程 2020年28卷第10期页码：2260-2266
- 作者机构：
  
  1.中国人民解放军 91550部队, 辽宁大连 116023
  2.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：
  
  [ "肖春生(1984-), 男, 江西萍乡人, 工程师。2008于海军大连舰艇学院获得工学学士学位, 2018年于海军大连舰艇学院获得硕士学位, 主要从事光学装备系统论证与应用方面的研究。E-mail:xiao_chunsheng@163.com" ]
  安其昌(1988-), 男, 山西太原人, 助理研究员, 中科院青年创新促进会成员, 2011于中国科学技术大学获得工学学士学位, 2018年于中国科学院大学获得博士学位, 主要从事大口径光机系统集成检测方面的研究。E-mail:anjj@mail.ustc.edu.cn AN Qi-chang, E-mail:anjj@mail.ustc.edu.cn
- 基金信息：
  
  中国科学院青年创新促进会资助项目(2020221);白求恩医学工程与仪器中心基金资助项目(BQEGCZX2019042);国家自然科学基金资助项目(11703026);国家自然科学基金资助项目(11803034)
- DOI：10.37188/OPE.20202810.2260
  中图分类号： TP791
- 收稿日期：2020-05-08，
  
  修回日期：2020-07-02，
  
  录用日期：2020-7-2，
  
  纸质出版日期：2020-10-25
- 稿件说明：
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肖春生, 安其昌. 离焦像边界对曲率传感精度影响研究[J]. 光学精密工程, 2020,28(10):2260-2266.

Chun-sheng XIAO, Qi-chang AN. Influence of defocused image boundary on curvature sensing accuracy[J]. Optics and precision engineering, 2020, 28(10): 2260-2266.
肖春生, 安其昌. 离焦像边界对曲率传感精度影响研究[J]. 光学精密工程, 2020,28(10):2260-2266. DOI： 10.37188/OPE.20202810.2260.

Chun-sheng XIAO, Qi-chang AN. Influence of defocused image boundary on curvature sensing accuracy[J]. Optics and precision engineering, 2020, 28(10): 2260-2266. DOI： 10.37188/OPE.20202810.2260.

摘要

大口径大视场望远镜主动光学系统，需要基于离焦星点像完成波前探测与系统闭环。为了实现系统的有效运行，本文对离焦星点像边缘区域与波前传感精度之间的关系开展了相关研究。首先，根据电磁波的传输方程介绍了曲率传感算法。接着，以像散与彗差为例从理论上分析了典型边界条件对波前解算的影响。然后，分析比较了不同像元分辨率对信息完备性的影响。最后，在极限采样率下，对波前重建误差进行了仿真分析。实验结果表明：在连续边界的情况下，单位圆边缘引入的误差约为35%（未进行迭代）；离焦星点像在100个像元以下时，其携带信息的能力迅速下降；在接近100个像元时，对彗差的检测误差为0.08个波长，与400个像元时相比约下降14%。因此，在时-空分辨率要求较低，即采样率不高的情况下，考虑闭环主动光学的误差收敛效应，忽略边界效应也可以满足主动光学波前传感需要，但在高时-空分辨率测量的情况下，边缘的影响不可以忽略。

Abstract

In the active optics (AO) system of large closed-looped survey telescopes

wavefront sensing based on defocused star images is necessary. To realize the effective operation of the AO system

this study investigates the relationship between the boundary area of a defocused image and wavefront sensing accuracy. First

a curvature sensing (CS) algorithm is introduced according to the irradiance transport equation of an electromagnetic wave. Then

by considering astigmatism and coma as examples

the influence of typical boundary conditions on wavefront sensing is theoretically investigated. Subsequently

the influence of different pixel resolutions on the completeness of information is analyzed. Finally

under the limit sampling rate

the wavefront reconstruction error is simulated and analyzed. The experimental results show that the error introduced on the edge of a unit circle is approximately 35% (without iteration).When a defocused star point image is below 100 pixels

its ability to carry information rapidly decreases.When it is close to 100 pixels

the detection error of the coma is 0.08 wavelength

which is approximately 14% lower than that at 400 pixels. Therefore

considering the error convergence effect of closed-loop active optics and ignoring the boundary effect can satisfy the requirement of active optical wavefront sensing in the case of a low time-spatial resolution

that is

at a low sampling rate. However

in the case of measurements with a high time-spatial resolution

the influence of the edge cannot be ignored.

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