基于功率谱的反射镜面形评价 -

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基于功率谱的反射镜面形评价

doi:10.3788/CO.20140701.0156

杨飞^1,,,
安其昌^1,2,
张景旭¹

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 100049

基金项目:

中科院三期创新重大专项资助项目

详细信息

作者简介:
安其昌（1988-），男，山西太原人，硕士研究生，2011年于中国科学技术大学获得学士学位，主要从事空间机构学方面的研究。E-mail：anjj@mail.ustc.edu.cn

通讯作者:
杨飞，E-mail：yangflying@163.com

中图分类号:TH751;P111.2
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- 被引次数:0
出版历程
- 收稿日期:2013-10-16
- 修回日期:2013-12-25
- 刊出日期:2014-01-25

Mirror surface figure evaluation based on power spectral density

1.
Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China;
2.
University of Chinese Academy of Sciences, Beijing 100049, China

摘要

摘要:针对表面高度均方根（RMS）难以描述大尺度波动以及刚体位移鲁棒性差的缺点，提出了使用功率谱（PSD）对大口径望远镜系统中主反射镜面形进行评价；结合Zernike多项式，对PSD的分解运算进行了分析，讨论了Zernike多项式的频谱能量分布；将该方法用于500 mm反射镜面形检测数据的处理，得出实际反射镜表面面形频域能量分布情况。结果表明：对于大口径反射镜，使用PSD的评价方式对于指导加工检测以及望远镜系统误差的分配具有更实用的意义。最后，基于PSD提出了一种评价反射镜面形的子孔径非相关拼接方法，该方法适用于大口径望远镜中大口径光学元件的面形精度评价。
- 表面面形评价/
- 反射镜/
- 大口径/
- 功率谱/
- Zernike多项式/
- 子孔径拼接
Abstract:Firstly, Power Spectral Density(PSD) is proposed for mirror surface figure evaluation in the large aperture telescope system as for some difficulties for Root Mean Square(RMS) in the evaluation of large scale variety and disadvantage of robust for rigid body displacement. Then, the decomposition arithmetic of PSD is analyzed with Zernike polynomial, and Zernike polynomial spectrum energy distribution is analyzed in some order. The algorithm has been used in the surface figure evaluation of a 500 mm mirror, and energy distribution in the frequency domain of the actual mirror surface has been obtained. The experimental results indicate that the evaluation of PSD is more practical when used in large aperture mirror for their manufacture and testing and for the error budget allocation in telescope system. Finally, a kind of noncorrelative sub-aperture stitching method for evaluation of reflective mirror shape based on PSD is proposed which can be used in the large aperture telescope.
- surface figure evaluation/
- mirror/
- large aperture/
- Power Spectral Density(PSD)/
- Zernike polynomial/
- sub-aperture stitching

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参考文献 (1)

[1] 吴小霞, 王鸣浩, 明名, 等. 大口径SiC轻量化主镜热变形的定标[J]. 光学精密工程, 2012, 20(6):1243-1249. WU X X, WANG M H, MING M,et al.. Calibration of thermal distortion for large aperture SiC lightweight mirror[J].Opt. Precision Eng., 2012, 20(6):1243-1249. (in Chinese) [2] 王栋, 杨洪波, 陈长征. 光学表面面形的计算机仿真[J]. 计算机仿真, 2007, 24(2):298-301. WANG D, YANG H B, CHEN CH ZH. Computer Simulation of the Optical Surface[J].Computer Simulation, 2007, 24(2):298-301.(in Chinese) [3] 张伟, 刘剑峰, 龙夫年, 等. 基于Zernike多项式进行波面拟合研究[J]. 光学技术, 2005, 31(5):675-678. ZHANG W, LIU J F, LONG F N,et al.. Study on wavefront fitting using Zernike polynomials[J].Optical Technique, 2005, 31(5):675-678.(in Chinese) [4] TMT Group. Design Requirements Document for Tertiary Mirror System(M3S)[2012-07-25].[EB/OL].http://www.tmt.org/sites/default/files/documents/application/pdf/design%20requirments%20document%202012-07.pdf. [5] BELY P Y.The Design and Construction of Large Optical Telescopes[M]. Baltimore:Springer-Verlag, 2003. [6] 张媛, 敬畏, 程云涛, 等.Φ510 mm SiC超轻量化反射镜的设计与有限元分析[J]. 光学精密工程, 2012, 20(8):1718-1724. ZHANG Y, JING W, CHENG Y T,et al.. Design and finite element analysis ofΦ510 mm SiC ultra-lightweight mirror[J].Opt. Precision Eng., 2012, 20(8):1718-1724.(in Chinese) [7] 林旭东, 刘欣悦, 王建立, 等. 137单元变形镜的性能测试即校正能力实验[J]. 光学精密工程, 2013, 21(2):267-273. LIN X D, LIU X Y, WANG J L,et al.. Performent of correction capability of 137-element deformable mirror[J].Opt. Precision Eng., 2013, 21(2):267-273.(in Chinese) [8] 张景旭. 地基大口径望远镜系统结构技术综述[J]. 中国光学, 2012, 5(4):327-336. ZHANG J X. Overview of structure of technologies of large aperture ground based telescope[J].Chinese Optics, 2012, 5(4):327-336.(in Chinese) [9] 邓昌建. 基于似然函数的集成仪器可靠性估计[J]. 仪器仪表学报, 2011, 32(6):1414-1419. DENG CH J. Integrated instrument reliability based on quasi likelihood function[J].Chinese J. Scientific Instrument, 2011, 32(6):1414-1419.(in Chinese) [10] 杨昌昊, 胡小健, 竺长安. 从故障树到故障贝叶斯网映射的故障诊断方法[J]. 仪器仪表学报, 2009, 30(7):1481-1486. YANG CH H, HU X J, ZHU CH A. Fault diagnosis method mapping from fault Bayesian networks[J].Chinese J. Scientific Instrument, 2009, 30(7):1481-1486.(in Chinese) [11] 程景全.天文望远镜原理和设计[M]. 北京:中国科学技术出版社, 2003. CHENG J Q.Principles of Astronomical Telescope Design[M]. Beijing:China Science & Technology Press, 2003.(in Chinese) [12] TMT Group.Tertiary Mirror Surface Figure Specification.[2012-09-24].[EB/OL].http://www.tmt.org/sites/default/files/ documents/application/pdf/tmt%20-%20tertiary%20mirror%20suface%20figure%20specifications%2020121023.pdf. [13] DIERKING W. RMS Slope of Exponentially Correlated Surface Roughness for Radar Applications[J].IEEE, 2000, 38(3):1451-1454. [14] 毕勇, 翟嘉, 吴金虎, 等. 一种光学仪器镜面面形的处理方法[J]. 光学技术, 2009, 35(1):10-17. BI Y, ZHAI J, WU J H,et al.. One method for mirror surface figure treatment in optical instrument[J].Optical Technique, 2009, 35(1):10-17.(in Chinese)

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