Jul. 2018

Article Contents

Chinese Optics> 2018> 11(4): 654-661.

ZHAO Xiao-dong, WANG Jing. Analysis of the mirror deformation of one-meter theodolite protective window[J]. Chinese Optics, 2018, 11(4): 654-661. doi: 10.3788/CO.20181104.0654

Citation:

ZHAO Xiao-dong, WANG Jing. Analysis of the mirror deformation of one-meter theodolite protective window[J].Chinese Optics, 2018, 11(4): 654-661.doi:10.3788/CO.20181104.0654

ZHAO Xiao-dong, WANG Jing. Analysis of the mirror deformation of one-meter theodolite protective window[J]. Chinese Optics, 2018, 11(4): 654-661. doi: 10.3788/CO.20181104.0654

Citation:

ZHAO Xiao-dong, WANG Jing. Analysis of the mirror deformation of one-meter theodolite protective window[J].Chinese Optics, 2018, 11(4): 654-661.doi:10.3788/CO.20181104.0654

PDF( 2948 KB)

Analysis of the mirror deformation of one-meter theodolite protective window

doi:10.3788/CO.20181104.0654

ZHAO Xiao-dong^{1, 2,},
WANG Jing^1,,

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

Funds:

National Nature Science Foundation of ChinaNo.11403064

More Information

Corresponding author:WANG Jing, E-mail:wangjing@ciomp.an.cn
Received Date:26 Dec 2017
Rev Recd Date:05 Feb 2018
Publish Date:01 Aug 2018

Abstract

Abstract

In order to accurately analyze the mirror deformation of the one-meter theodolite protective window under exterior loads, the model of one-meter theodolite protective window is built on the base of frictional contact finite element theory, the differences between linear rigid joint and nonlinear frictional contact simulation methods are compared. Homogeneous coordinate transformation method is used to remove the rigid body displacement, and the mirror distortion data of the protection window of the meter-caliber theodolite is obtained. The Zernike polynomial is used as an interface tool for the integrated optomechanical analysis, and Zernike polynomial coefficients are introduced into ZEMAX. The effect of mirror distortion on image quality is measured by the RMS value of wavefront aberration, and is compared with the results of the interferometer test. The RMS value of the mirror wavefront aberration is 38.095 nm and the PV is 205.027 nm. The RMS value of the wavefront aberration is 40.626 nm and the PV is 235.654 nm. The experimental results show that the deviation of the RMS value of the specular wavefront aberration between the simulation experiment and the interferometer detection experiment considering the frictional contact condition is 6.23%, thus more accurately reflect the mirror deformation of the meter-level aperture protection window.
- theodolite,
- finite element theory,
- homogeneous coordinate transformation,
- Zernike polynomial

FullText(HTML)

References (15)

References

[1]	尤锐, 王晶, 王文革, 等.大口径测量系统主反射镜装调及精度分析[J].长春理工大学学报(自然科学版), 2008, 31(3):20-23. https://www.wenkuxiazai.com/doc/73ff6f82daef5ef7ba0d3c18.html YOU R, WANG J, WANG W G, et al.. Adjustment and error analysis of the large mirror of test system[J]. Journal of Changchun University of Science and Technology(Natural Science Edition, 2008, 31(3):20-23.(in Chinese) https://www.wenkuxiazai.com/doc/73ff6f82daef5ef7ba0d3c18.html
[2]	刘莹奇, 王志, 刘欣悦, 等.米级车载高分辨率光电成像系统光学设计[J].红外与工程, 2011, 40(8):1512-1516. https://wenku.baidu.com/view/72be830b03d8ce2f00662344.html LIU Y Q, WANG ZH, LIU X Y, et al.. Optical design of vehicle-based high resolution E-O imaging system using meter class telescope[J]. Infrared and Laser Engineering, 2011, 40(8):1512-1516.(in Chinese) https://wenku.baidu.com/view/72be830b03d8ce2f00662344.html
[3]	范李立, 张景旭, 杨飞, 等.极轴式望远镜主镜支撑结构对镜面变形的影响[J].红外与工程, 2012, 41(1):173-177. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=hwyjggc201201034 FAN L L, ZHANG J X, YANG F, et al.. Impact of the supports of primary mirror in equatorial telescope on its surface deformation[J]. Infrared and Laser Engineering, 2012, 41(1):173-177.(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=hwyjggc201201034
[4]	辛雪军, 陈长征, 张星祥, 等.平行光管主反射镜组件的非线性有限元分析[J].中国光学与应用光学, 2010, 3(2):170-176. https://wenku.baidu.com/view/4fd571fc998fcc22bdd10d08.html XIN X J, CHEN CH ZH, ZHANG X X, et al.. Nonlinear analysis of primary mirror subassembly for collimator based on finite element method[J]. Chinese Journal of Optics and Applied Optics, 2010, 3(2):170-176.(in Chinese) https://wenku.baidu.com/view/4fd571fc998fcc22bdd10d08.html
[5]	徐广州, 阮萍, 李婷.基于接触有限元方法的镜面面形仿真技术研究[J].光学技术, 2012, 38(3):305-309. https://core.ac.uk/display/71623790 XU G ZH, RUAN P, LI T. Surface simulation based on contact finite element method[J]. Optical Technique, 2012, 38(3):305-309.(in Chinese) https://core.ac.uk/display/71623790
[6]	陈长征, 辛宏伟, 吕清涛, 等.某反射镜组件的线性与非线性工程分析[J].计算机仿真, 2008, 25(3):323-326. http://www.jlck.cn/html/2012-6/63581_2.html CHEN CH ZH, XIN H W, LV Q T, et al.. Reflector subassembly engineering analysis based on combined nonlinear and linear method[J]. Computer Simulation, 2008, 25(3):323-326.(in Chinese) http://www.jlck.cn/html/2012-6/63581_2.html
[7]	WINGGERS P. Computational Contact Mechanics[M]. 2nd ed. America:John Wiley and Sons Ltd, 2002.
[8]	关英俊, 辛宏伟, 刘巨, 等.基于接触非线性分析方法的反射镜组件工程分析[J].光学技术, 2006, 32(6):859-862. http://mall.cnki.net/magazine/Article/GXJS200606016.htm GUAN Y J, XIN H W, LIU J, et al.. Reflector subassembly engineering analysis based on contact nonlinear analysis method[J]. Optical Technique, 2006, 32(6):859-862.(in Chinese) http://mall.cnki.net/magazine/Article/GXJS200606016.htm
[9]	赵星, 郑义, 张赞, 等.基于面形斜率的光学自由曲面表征[J].光学精密工程, 2015, 23(7):1957-1964. http://www.cnki.com.cn/Article/CJFDTOTAL-GXJM201507020.htm ZHAO X, ZHENG Y, ZHANG Z, et al.. Characterization of freedom optical surfaces based on surface slope[J]. Opt. Precision Eng., 2015, 23(7):1957-1964.(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-GXJM201507020.htm
[10]	田秀云, 吴时彬, 伍凡, 等.环形大口径平面镜圆Zernike多项式拟合精度分析[J].光学技术, 2008, 34:21-23. http://www.doc88.com/p-9915179588904.html TIAN X Y, WU SH B, WU F, et al.. Analysis for circle Zernike polynomial fitting precision of annual large flat[J]. Optical Technique, 2008, 34:21-23.(in Chinese) http://www.doc88.com/p-9915179588904.html
[11]	孟轩, 乔彦峰, 何锋赟, 等.Zernike环多项式分析光电经纬仪主镜变形[J]. 与光电子学进展, 2013, 50, 072201. http://mall.cnki.net/magazine/Article/JGDJ201307017.htm MENG X, QIAO Y F, HE F Y, et al.. Analyzing primary mirror deformation of photoelectronic theodolite using Zernike annular polynomial[J]. Laser and Optoelectronics Progress, 2013, 50:072201.(in Chinese) http://mall.cnki.net/magazine/Article/JGDJ201307017.htm
[12]	杨佳文, 黄巧林, 韩友民.Zernike多项式在拟合光学表面面形中的应用及仿真[J].航天返回与遥感, 2010, 31(5):49-55. http://www.eeworm.com/dl/510351.html YANG J W, HUANG Q L, HAN Y M. Application and simulation in fitting optical surface with Zernike polynomial[J]. Spacecraft Recovery& Remote Sensing, 2010, 31(5):49-55.(in Chinese) http://www.eeworm.com/dl/510351.html
[13]	张颖, 丁振敏, 赵慧洁, 等.光机热集成分析中镜面刚体位移分离[J].红外与工程, 2012, 41(10):2763-2767. doi:10.3969/j.issn.1007-2276.2012.10.039 ZHANG Y, DING ZH M, ZHAO H J, et al.. Rigid-body displacement separation of optics in optical-structural thermal integrated analysis[J]. Infrared and Laser Engineering, 2012, 41(10):2763-2767.(in Chinese) doi:10.3969/j.issn.1007-2276.2012.10.039
[14]	田富湘, 何欣.空间光学遥感器光学镜面有限元分析结果的后处理[J].红外, 2014, 35(9):19-22. https://wenku.baidu.com/view/ea76477004a1b0717ed5dd2d.html TIAN F X, HE X. Post-processing of FEA results of optical mirrors for space remote sensor[J]. Infrared, 2014, 35(9):19-22.(in Chinese) https://wenku.baidu.com/view/ea76477004a1b0717ed5dd2d.html
[15]	颜庆津.数值分析[M].北京:北京航空航天大学出版社, 2006. YAN Q J. Numerical Analysis[M]. Beijing:Beihang Press, 2006.(in Chinese)