Jan. 2014

Article Contents

Chinese Optics> 2014> 7(1): 156-162.

YANF Fei, AN Qi-chang, ZHANG Jing-xu. Mirror surface figure evaluation based on power spectral density[J]. Chinese Optics, 2014, 7(1): 156-162. doi: 10.3788/CO.20140701.0156

Citation:

YANF Fei, AN Qi-chang, ZHANG Jing-xu. Mirror surface figure evaluation based on power spectral density[J].Chinese Optics, 2014, 7(1): 156-162.doi:10.3788/CO.20140701.0156

YANF Fei, AN Qi-chang, ZHANG Jing-xu. Mirror surface figure evaluation based on power spectral density[J]. Chinese Optics, 2014, 7(1): 156-162. doi: 10.3788/CO.20140701.0156

Citation:

YANF Fei, AN Qi-chang, ZHANG Jing-xu. Mirror surface figure evaluation based on power spectral density[J].Chinese Optics, 2014, 7(1): 156-162.doi:10.3788/CO.20140701.0156

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Mirror surface figure evaluation based on power spectral density

doi:10.3788/CO.20140701.0156

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

Received Date:16 Oct 2013
Rev Recd Date:25 Dec 2013
Publish Date:25 Jan 2014

Abstract

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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References

[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 of Φ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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