Nonlinear distortion correction in off-axis aspheric null compensation tests

LI Honglan; YUAN Lyujun; XU Jiesu; LI Qian; KANG Yan

doi:10.5768/JAO201940.0403002

Journal of Applied Optics > 2019 > 40(4): 638-643. > DOI: 10.5768/JAO201940.0403002

LI Honglan, YUAN Lyujun, XU Jiesu, LI Qian, KANG Yan. Nonlinear distortion correction in off-axis aspheric null compensation tests[J]. Journal of Applied Optics, 2019, 40(4): 638-643. DOI: 10.5768/JAO201940.0403002

Citation:

PDF (1717 KB)

Nonlinear distortion correction in off-axis aspheric null compensation tests

LI Honglan^{1, 2, 3,},
YUAN Lyujun^{1, 2},
XU Jiesu^{1, 2, 3},
LI Qian^{1, 2, 3},
KANG Yan^{1, 2}

1.
National Astronomical Observatories/Nanjing Institute of Astronomical Optics & Technology, CAS, Nanjing 210042, China
2.
CAS Key Laboratory of Astronomical Optics & Technology, Nanjing Institute of Astronomical Optics & Technology, Nanjing 210042, China
3.
University of Chinese Academy of Sciences, Beijing 100049, China

More Information

Received Date: September 25, 2018
Revised Date: March 26, 2019

Graphical Abstract

Abstract

Abstract

In the null testing of large-diameter and fast-ratio aspherical mirrors, the incident light rays are sharply turned at a large angle within a short distance, resulting in nonlinear distortion of the test result of the interferometer, and the positional accuracy and error removal efficiency of the computer controlled optical surfacing (CCOS) polishing are seriously affected. In order to correct the image distortion of off-axis aspherical mirror in compensation test, a method for correcting the nonlinear distorted image was proposed. The center position of the distortion was determined by the concentric annular method and the mapping relationship between the tested mirror and the interferogram was established by using ray tracing.In addition, the distortion of a 520 mm×250 mm off-axis paraboloid primary mirror of an optical system was corrected.Results show that the position deviation between the correction result and the surface map of the workpiece is reduced to less than 1 mm, which meets the working requirement of CCOS polishing.
- nonlinear optics,
- distortion correction,
- ray trace,
- off-axis aspheric mirror,
- null compensation test

FullText(HTML)

References (20)

References

[1]	潘君骅.光学非球面的设计、加工与检验[M].苏州:苏州大学出版社, 2004:145-152. PAN Junhua. The design manufacture and test of the aspherical optical surfaces[M]. Suzhou:Suzhou University Press, 2004:145-152.
[2]	LUBLINER J, NELSON J E. Stressed mirror polishing. 1: a technique for producing nonaxisymmetric mirrors[J]. Applied optics, 1980, 19(14):2332-2340. doi: 10.1364/AO.19.002332
[3]	陈哲, 张星祥, 陈长, 等.大口径离轴非球面补偿检验的畸变校正[J].中国激光, 2015, 42(9): 908001. http://www.cqvip.com/QK/95389X/201510/666432629.html CHEN Zhe, ZHANG Xingxiang, CHEN Chang, et al. Distortion mapping correction in testing of large off-axis aspherical mirrors with null lens[J]. Chinese Journal of Lasers, 2015, 42(9):908001. http://www.cqvip.com/QK/95389X/201510/666432629.html
[4]	武中华, 袁吕军, 朱永田, 等.特大非球面度离轴非球面补偿器结构设计与装调[J].应用光学, 2017, 38(4):641-643. http://www.yygx.net/CN/abstract/abstract10989.shtml WU Zhonghua, YUAN Lüjun, ZHU Yongtian, et al. Structure design and assembling of compensator for off-axis aspheric surface with large asphericity[J]. Journal of Aplied Optics, 2017, 38(4):641-643. http://www.yygx.net/CN/abstract/abstract10989.shtml
[5]	伍凡.非球面零检验的offner补偿器设计[J].应用光学, 1993, 14(3):8-12. doi: 10.1089-met.2010.0132/ WU Fan.Design of reflective offner compensator for null testing of aspherical surface[J]. Journal of Aplied Optics, 1993, 14(3):8-12. doi: 10.1089-met.2010.0132/
[6]	NOVAK M, ZHAO C, BURGE JH. Distortion mapping correction in aspheric surface null test[J]. SPIE, 2008, 7063:706313. doi: 10.1117/12.798151.full
[7]	BURGE J H. Advanced techniques for measuring primary mirrors for astronomical telescopes[M]. Tucson:The University of Arizona, 1993.
[8]	BURKE J, WU D. Calibration of spherical reference surfaces for fizeau interferometry:a comparative study of methods[J]. Applied Optics, 2010, 49(31):6014-6023. doi: 10.1364/AO.49.006014
[9]	ZHAO C, BURGE J H.Orthonormal vector polynomials in a unit circle, part i: basis set derivedfrom gradients of Zernike polynomials[J]. Optics Express, 2007, 15(26):6586-6591. https://arizona.pure.elsevier.com/en/publications/orthonormal-vector-polynomials-in-a-unit-circle-part-i-basis-set-
[10]	ZHAO C, BURGE J H.Orthonormal vector polynomials in a unit circle, part Ⅱ:Completing the basis set[J]. Optics Express 16, 2008, 16(9):6586-6591. doi: 10.1364/OE.16.006586
[11]	李锐钢, 郑立功, 薛栋林, 等.大口径高次、离轴非球面干涉测量中投影畸变的标定方法[J].光学精密工程, 2006, 14(4):533-538. doi: 10.3321/j.issn:1004-924X.2006.04.002 LI Ruigang, ZHENG Ligong, XUE Donglin, et al. Calibration method for projection distortion in interferometric testing high order and off-axis aspheric surface with big aperture[J]. Optics and Precision Engineering, 2006, 14(4):533-538. doi: 10.3321/j.issn:1004-924X.2006.04.002
[12]	刘满林, 杨旺, 许伟才.干涉仪成像畸变引起测量误差的校正方法[J].光学精密工程, 2011, 19(10):2349-2354. http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201110007 LIU Manlin, YANG Wang, XU Weicai.Calibration of measuring error caused by interferometric imaging distortion[J]. Optics and Precision Engineering, 2011, 19(10):2349-2354. http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201110007
[13]	OFFNER A. A null corrector for paraboloidal mirrors[J]. Appl Opt, 1963, 2(2): 153-155. doi: 10.1364-AO.2.000153/
[14]	FENG Yunpeng, CHENGA Haobo, TAM H Y. Mapping error correction of large off-axis aspheric surface in null test[J]. Optik International Journal for Light and Electron Optics, 2015, 126(24):5825-5829. doi: 10.1016/j.ijleo.2015.09.251
[15]	张斌智, 王旭.大口径凸非球面反射镜检测补偿器的误差标定[J].中国激光, 2013, 40(s1):s108004. http://www.cqvip.com/QK/95389X/2013B12/48612905.html ZHANG Binzhi, WANG Xu. Error calibration of compensator in large aperture convex aspheric mirror testing[J]. Chinese J Lasers, 2013, 40(s1):s108004. http://www.cqvip.com/QK/95389X/2013B12/48612905.html
[16]	TRUAX B E. Absolute interferometric testing of spherical surfaces[J]. Proc SPIE, 1990, 1400:61-68. doi: 10.1117-12.26111/
[17]	曲智国, 谭贤四, 费太勇, 等.图像特征点选取方法[J].信号处理, 2017, 33(8):1027-1033. http://d.old.wanfangdata.com.cn/Periodical/xhcl201708001 QU Zhiguo, TAN Xiansi, FEI Taiyong, et al. A method for image feature points selection[J]. Journal ofsignal processing, 2017, 33(8):1027-1033. http://d.old.wanfangdata.com.cn/Periodical/xhcl201708001
[18]	曾雪锋, 闫锋, 薛栋林, 等.计算全息图补偿检测离轴非球面中的投影畸变校正技术[J].中国激光, 2013, 40(11):109003. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zgjg201311040 ZENG Xuefeng, YAN Feng, XUE Donglin, et al. Distortion correction in testing of off-axis asphere with computer generated hologram[J]. Chinese Journal of Lasers, 2013, 40(11):109003. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zgjg201311040
[19]	黎发志, 罗霄, 赵晶丽, 等.离轴非球面的计算全息图高精度检测技术[J].光学精密工程, 2011, 19(4):709-716. http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201104001 LI Fazhi, LUO Xiao, ZHAO Jingli, et al. Test of off-axis aspheric surfaces with CGH[J]. Optics and Precision Engineering, 2011, 19(4):709-716. http://d.old.wanfangdata.com.cn/Periodical/gxjmgc201104001
[20]	WEIBO W, MENGQIAN Z, SIWEN Y, et al. Correction for mapping errors in non-null test of aspheric surface[J]. Journal of the European Optical Society Rapid Publications, 2015, 10:1-4. http://adsabs.harvard.edu/abs/2015JEOS...10E5032W

[1]	SUN Yongxue, XIA Zhentao, WANG Ke, JIANG Shouwang, CHEN Gangyi, FAN Rong, LI Tao. Research on off-axis reflective collimator design and inspection scheme of secondary mirror[J]. Journal of Applied Optics, 2021, 42(2): 334-338. DOI: 10.5768/JAO202142.0205001
[2]	Wu Zhonghua, Yuan Lüjun, Zhu Yongtian, He Li. Structure design and assembling of compensator for off-axis aspheric surface with large asphericity[J]. Journal of Applied Optics, 2017, 38(4): 639-643. DOI: 10.5768/JAO201738.0405003
[3]	Meng Xiaochen, Zhu Lianqing. Optimization design of partially compensating lens for large aperture convex aspheric surface testing[J]. Journal of Applied Optics, 2016, 37(5): 747-751. DOI: 10.5768/JAO201637.0505002
[4]	Jin Qiuyu, Ma Fei, Liu Entao, Wang Yun, Zhao Weiqian. Large optical aspheric mirror profile data evaluation method based on LevenbergMarquardt algorithm[J]. Journal of Applied Optics, 2016, 37(4): 555-560. DOI: 10.5768/JAO201637.0402004
[5]	YUAN Lü-jun, YANG Fan. Method of digital wavefront for testing asphere[J]. Journal of Applied Optics, 2012, 33(6): 1118-1122.
[6]	LI Yang, LI Xin-nan. Null compensator for convex secondary asphere of very large optical telescope[J]. Journal of Applied Optics, 2012, 33(3): 564-569.
[7]	WANG Xiao-kun. Measurement of convex aspheric mirror by non-null testing[J]. Journal of Applied Optics, 2012, 33(1): 124-128.
[8]	YUAN Lu-jun, CHEN Tao. Manufacturing technology for high order aspheric surface[J]. Journal of Applied Optics, 2011, 32(2): 335-342.
[9]	MA Ming-zhe, LI Qiang, LIAO Sheng. Ray tracing of mechanically ruled gratings[J]. Journal of Applied Optics, 2010, 31(2): 233-236.
[10]	ZHANG Feng, FAN Di, LI Rui-gang, ZHENG Li-gong, GAO Jin-song, ZHANG Xue-jun. Fabrication and testing of aspheric silicon carbide mirror[J]. Journal of Applied Optics, 2008, 29(6): 1004-1008.

Cited By

Cited by

Periodical cited type(5)

1.	闫烁，万嵩林，李瀚捷，韩宜池，牛振岐，吴珍，路晴，江国昌，沈鹏程，魏朝阳. 离轴非球面干涉测量中标记点最优排布求解与畸变误差校正方法（特邀）. 光学学报(网络版). 2024(03): 33-42 .
2.	罗志超，何煜，李瑶艳，邵传强，杨晓飞. 离轴抛物面反射镜的投影畸变校正研究. 激光与红外. 2024(11): 1744-1750 .
3.	郝三峰，张建，杨建峰. F/0.78高次非球面零位补偿检测与投影畸变校正. 光子学报. 2023(02): 39-53 .
4.	吴天强，王义贺. 基于改进深度学习自编码的图像边沿畸变校正算法研究. 光电子·激光. 2021(02): 149-156 .
5.	苏虹，张运强. 自由空间中光信息传输模型下非线性JTC光学图像校正方法. 激光杂志. 2020(09): 127-131 .

Other cited types(4)

Get Citation

PDF

XML

Article views (1381) PDF downloads (91) Cited by(9)

Turn off MathJax

Article Contents

Abstract

References

Nonlinear distortion correction in off-axis aspheric null compensation tests