Third-order aberrations of a plane symmetric optical system

Sun Jin-Xia; Pan Guo-Qing; Liu Ying

doi:10.7498/aps.62.094203

Abstract

The wave aberration theory of non-symmetrical optical systems is useful for understanding the misalignment in symmetrical systems and designing of off-axis mirror systems. A theory about the third-order aberrations for sub-aperture plane symmetric optical system is developed by using the aberration theory for full-aperture axially symmetric spherical systems. This paper proves the nodal aberration theory, namely, the points in the field with zero third-order aberration will deviate from the field center except for spherical aberration. It also reveals that the nodal aberrations arise from the transformation of the aberrations in full-aperture systems. This theory can be efficiently used in non-symmetric optical system designing process.

Keywords:

Authors and contacts

1.
China Airborne Missile Academy, Luoyang 471009, China;
2.
Aviation Key Laboratory of Science and Technology on Airborne Guided Weapons,Luoyang 471009, China;
3.
Opto-electricity Technology Research Center, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 60977001).

References

[1]	Seunghyuk C 2006 Proc. SPIE. 6265 626548
[2]	Hinner P A, Dickensheets D L 2003 Proc. SPIE. 4985 281
[3]	Liu X M, Xiang Y 2011 Acta Optica Sin. 31 0622004 (in Chinese) [刘晓梅, 向阳 2011 光学学报 31 0622004]
[4]	Sands P J 1972 J. Opt. Soc. Am. 62 1211
[5]	Thompson K 2005 J. Opt. Soc. Am. 22 1389
[6]	Sasian J M 1994 Optical Engineering 33 2045
[7]	Moore L B, Hvisc A M 2008 Optics Express 16 15655
[8]	Rogers J R 2000 Optical Engineering 39 1776

Cited By

[1]	Seunghyuk C 2006 Proc. SPIE. 6265 626548
[2]	Hinner P A, Dickensheets D L 2003 Proc. SPIE. 4985 281
[3]	Liu X M, Xiang Y 2011 Acta Optica Sin. 31 0622004 (in Chinese) [刘晓梅, 向阳 2011 光学学报 31 0622004]
[4]	Sands P J 1972 J. Opt. Soc. Am. 62 1211
[5]	Thompson K 2005 J. Opt. Soc. Am. 22 1389
[6]	Sasian J M 1994 Optical Engineering 33 2045
[7]	Moore L B, Hvisc A M 2008 Optics Express 16 15655
[8]	Rogers J R 2000 Optical Engineering 39 1776

[1]	Sheng Quan, Geng Jing-Ni, Wang Ai-Hua, Wang Meng, Qi Yue, Liu Jun-Jie, Fu Shi-Jie, Shi Wei, Yao Jian-Quan. Cat-eye retroreflectors based large-dynamic-range alignment-free laser. Acta Physica Sinica, 2023, 72(4): 044203. doi: 10.7498/aps.72.20221956
[2]	Liang Dian-Ming, Wang Chao, Shi Hao-Dong, Liu Zhuang, Fu Qiang, Zhang Su, Zhan Jun-Tong, Yu Yi-Xin, Li Ying-Chao, Jiang Hui-Lin. Aberration correction for ellipsoidal window optical system based on Zernike mode coefficient optimization. Acta Physica Sinica, 2020, 69(24): 244203. doi: 10.7498/aps.69.20200933
[3]	Zhang Shu-He, Shao Meng, Zhang Sheng-Zhao, Zhou Jin-Hua. Light rays in Fourier domain. Acta Physica Sinica, 2019, 68(21): 214202. doi: 10.7498/aps.68.20190839
[4]	Cao Chao, Liao Zhi-Yuan, Bai Yu, Fan Zhen-Jie, Liao Sheng. Initial configuration design of off-axis reflective optical system based on vector aberration theory. Acta Physica Sinica, 2019, 68(13): 134201. doi: 10.7498/aps.68.20190299
[5]	Zhang Shu-He, Shao Meng, Zhou Jin-Hua. Structured beam designed by ray-optical Poincaré sphere method and its propagation properties. Acta Physica Sinica, 2018, 67(22): 224204. doi: 10.7498/aps.67.20180918
[6]	Yan Xiong-Wei, Wang Zhen-Guo, Jiang Xin-Ying, Zheng Jian-Gang, Li Min, Jing Yu-Feng. Analysis of laser diode array pump coupling system based on microlens array. Acta Physica Sinica, 2018, 67(18): 184201. doi: 10.7498/aps.67.20172473
[7]	Zhang Xiao-Hui, Zhang Shuang, Sun Chun-Sheng. Modeling of Gaussian laser beam reflection from rough sea surface. Acta Physica Sinica, 2016, 65(14): 144204. doi: 10.7498/aps.65.144204
[8]	Li Yang-Hui, Hao Xiang, Shi Zhao-Yi, Shuai Shao-Jie, Wang Le. Effect of coating-induced polarization aberrations on the focusing properties in high numerical aperture optical system. Acta Physica Sinica, 2015, 64(15): 154214. doi: 10.7498/aps.64.154214
[9]	Tang Yan-Qiu, Sun Qiang, Zhao Jian, Yao Kai-Nan. A closed-loop aberration compensating method of optics system based on holography. Acta Physica Sinica, 2015, 64(2): 024206. doi: 10.7498/aps.64.024206
[10]	Lü Xiang-Bo, Zhu Jing, Yang Bao-Xi, Huang Hui-Jie. An approach for calculating the optical structure based on ybar-y diagram. Acta Physica Sinica, 2015, 64(11): 114201. doi: 10.7498/aps.64.114201
[11]	Liu Zheng, Wang Sheng-Qian, Huang Lin-Hai, Rao Chang-Hui. Analysis of comprehensive effects of piston error and sub-aperture aberrations on the image quality of sparse-optical-synthetic-aperture system. Acta Physica Sinica, 2011, 60(10): 100702. doi: 10.7498/aps.60.100702
[12]	Zhang Zhi-Quan, Zhang Yi-Fei, Zhou Li-Wei, Gong Hui. Paraxial electron optics and its spatial-temporal aberrations for a bi-electrode concentric spherical system with electrostatic focusing. Acta Physica Sinica, 2010, 59(8): 5459-5466. doi: 10.7498/aps.59.5459
[13]	Zhang Zhi-Quan, Zhang Yi-Fei, Zhou Li-Wei, Gong Hui. Imaging electron-optics and spatial-temporal aberrations for a bi-electrode spherical concentric system with electrostatic focusing. Acta Physica Sinica, 2010, 59(8): 5450-5458. doi: 10.7498/aps.59.5450
[14]	Pi Dao-Rui, Huang Yuan-Shen, Zhang Da-Wei, Ni Zheng-Ji, Zhuang Song-Lin. Optimization of the flat-field holographic concave grating in wide spectral range. Acta Physica Sinica, 2010, 59(2): 1009-1016. doi: 10.7498/aps.59.1009
[15]	Wu Feng-Tie, Jiang Xin-Guang, Liu Bin, Qiu Zhen-Xing. Geometric optics analysis on self-reconstruction of the nondiffracting beam generated from an axicon. Acta Physica Sinica, 2009, 58(5): 3125-3129. doi: 10.7498/aps.58.3125
[16]	Sun Jin-Xia, Sun Qiang, Li Dong-Xi, Lu Zhen-Wu. Conformal dome aberration correction with diffractive elements. Acta Physica Sinica, 2007, 56(7): 3900-3905. doi: 10.7498/aps.56.3900
[17]	Zhou Li-Wei, Li Yuan, Zhang Zhi-Quan, Monastyrski M. A., Schelev M. Y.. Theory of temporal aberrations for electron optical imaging systems by direct integral method. Acta Physica Sinica, 2005, 54(8): 3591-3596. doi: 10.7498/aps.54.3591
[18]	. К ЗЛЕКТРОННО-ОПТИЧЕСКИМ СВОСТВАМ И ТЕОРИИ АБЕРРАЦИИ КОМБИНИРОВАННЫХ ИММЕРСИОННЫХ ОБЪЕКТИВОВ. Acta Physica Sinica, 1957, 13(4): 339-356. doi: 10.7498/aps.13.339
[19]	. ИССЛЕДОВАНИЕ АБЕРРАЦИЙ ПЯТОГО ПОРЯДКА В ЭЛЕКТРОННО-ОПТИЧЕСКИХ СИСТЕМАХ С СИММЕТРИЕЙ ВРАЩЕНИЯ. Acta Physica Sinica, 1957, 13(3): 181-206. doi: 10.7498/aps.13.181
[20]	. ОБ АБЕРРАЦИЯХ В ЭЛЕКТРОННО-ОПТИЧЕСКИХ СИСТЕМАХ С СИММЕТРИЕЙ ВРАЩЕНИЯ ПРИ НАЛИЧИИ ОБЬЁМНЫХ ЗАРЯДОВ. Acta Physica Sinica, 1957, 13(3): 207-216. doi: 10.7498/aps.13.207

Catalog

Vol. 62, Issue 9 - 2013-05-05

Metrics

Abstract views: 8092
PDF Downloads: 5175
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板