SHAO Jing, MA Dong-mei, NIE Zhen-wei. Aberration analysis for annular pupils by different Zernike polynomials[J]. Journal of Applied Optics, 2010, 31(4): 544-548.
Citation: SHAO Jing, MA Dong-mei, NIE Zhen-wei. Aberration analysis for annular pupils by different Zernike polynomials[J]. Journal of Applied Optics, 2010, 31(4): 544-548.
shu

Aberration analysis for annular pupils by different Zernike polynomials

  • 1.

    Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Changchun 130033,China;

  • 2.

    Graduate School of Chinese Academy of Sciences,Beijing 100039,China

More Information
    Graphical Abstract
    • Abstract
  • Due to the orthogonality of every Zernike annular polynomial in the annular field, the error in Seidel coefficients solved by wave front fitting with circular polynomial for annular pupils could be obtained. To accurately compare Seidel coefficients solved by circular polynomial with Zernike annular polynomial, an experiment model was built according to the theory of wave front aberration. The Seidel coefficients solved by wave front fitting for large obscuration pupils with Zernike annular polynomial and Zernike circular polynomial were compared. The result showed that the main relative errors remained in defocus, sphere and coma aberrations, when the Seidel coefficients were solved by Zernike circular polynomials. The Seidel coefficients solved by the 9 circular polynomial terms are more close to the results solved by the annular polynomial rather than the 36 circular polynomial terms. However, when the number of circular polynomial terms decreases to fewer than 9, the error in Seidel coefficients obtained by circular polynomial will increase.
    • FullText(HTML)
    • References (1)
  • ［1］侯溪,伍凡,杨力,等.中心遮拦干涉图的圆泽尼克拟合对计算赛德尔像差的影响分析［J］.光学学报,2006，26(1)：54-60.
    HOU Xi, WU Fan, YANG Li,et al.Effect of central obscurat ion interferograms fitted with Zernike circle polynomials on calculating Seidel aberrations［J］. Acta Optica Sinica, 2006，26(1)：54-60.(in Chinese with an English abstract)
    ［2］VIRENDRA N, MAHAJAN. Zernike annular poly-nomials for imaging systems with annular pupils［J］. J.Opt.Soc.Am.,1981,71(1):75-85.
    ［3］TATIAN B. Aberration balancing in rotationally sy-mmetric lenses［J］. Opt. Soc. Am.,1974,64(8):1083-1091.
    ［4］VIRENDRA N, MAHAJAN. Zernike annular poly-nomials and optical aberrations of systems with annular pupils［J］. Supplement to Optics & Photonics News, 1994,5(11):8125-8132.
    ［5］GUANG Ming-dai, VIRENDRA N. Mahajan. Zer-nike annular polynomials and atmospheric turbu-lence［J］. J. Opt. Soc. Am. A, 2007,24(1):139-155.
    ［6］亓波,陈洪斌,刘顺发.Zernike多项式波面拟合的回归分析方法［J］.光学精密工程, 2007,15(3):396-400.
    QI Bo, CHEN Hong-bin, LIU Shun-fa. Regression analysis of wavefront fitting using Zernike polynomial［J］. Optics and Precision Engineering, 2007,15(3):396-400.(in Chinese with an English abstract)
    ［7］刘克,李艳秋, 刘景峰.带有分割遮拦环形干涉图的波面拟合［J］.红外与激光工程,2008,37(增刊):778-784.
    LIU Ke, LI Yan-qiu, LIU Jing-feng. Wavefront fitting method for annular interferogram with obscurations［J］.Infrared and Laser Engineering,2008,37(Sup):778-784.(in Chinese with an English abstract)
    ［8］刘志祥.大口径光学系统波前分析技术研究［D］.北京：中国科学院研究生院, 2008.
    LIU Zhi-xiang.Study on the wavefront analysis of large aperture optical system［D］.Beijing:The Graduate School of Chinese Academy of Sciences, 2008.
    ［9］DANIEL M.Optical shop testing［M］. 3rd ed.New Jersey:John Wiley & Sons, Inc., 2007:525-539.
    ［10］JAMES C.WYANT,KATHERINE C.Basic wave-front aberration theory for optical metrology, applied optics and optical engineering：XI［M］. USA: Academic Press,Inc.,1992.
    • Related Articles

  • Related Articles

    [1]YANG Weibin, WANG Chunyan, ZHANG Weiguo, WANG Jinyu, XIA Liangping, DU Chunlei, SUN Hao. Method of detecting microlens wavefront by Hartmann sensor[J]. Journal of Applied Optics, 2025, 46(2): 380-387. DOI: 10.5768/JAO202546.0203003
    [2]Zhou Xiao-bin, Luan Ya-dong, Shi Lei-lei, Lei Zeng-qiang. Structural parameters calibration of Hartmann-Shack sensor based on known spherical wavefront[J]. Journal of Applied Optics, 2015, 36(6): 909-912. DOI: 10.5768/JAO201536.0603002
    [3]Guo Guang-yan, Fan Zhong-wei, Yu Jin, Ge Wen-qi, Kang Zhi-jun, Tang Xiong-xin, Mo Ze-qiang, Wang Hao-cheng, Shi Zhao-hui. Wavefront detection technology based on Shark-Hartmann theory[J]. Journal of Applied Optics, 2014, 35(5): 823-829.
    [4]Chao Ge-ping, Yang Peng-li, Yang Zi-jian, Fu Xiao-qing, Wang Yan-wei. Adjustment method of testing conic aspheric optical elements based on wavefront contour map[J]. Journal of Applied Optics, 2014, 35(4): 652-655.
    [5]YUAN Lü-jun, YANG Fan. Method of digital wavefront for testing asphere[J]. Journal of Applied Optics, 2012, 33(6): 1118-1122.
    [6]SHI Guang-wei, ZHANG Xin, ZHANG Ying, WU Yan-xiong, ZHANG Ji-zhen. Alignment of two-mirror optical system based on vector wavefront aberration[J]. Journal of Applied Optics, 2011, 32(3): 540-544.
    [7]ZHONG Xing, JIN Guang, ZHANG Peng, ZHANG Yuan. Optical testing of multi-electrode electrostatic membrane mirror[J]. Journal of Applied Optics, 2011, 32(2): 282-286.
    [8]KONG Xiao-hui, FAN Xue-wu, MA Zhen, PANG Zhi-hai, YU Shun-jing. Computer added Ritchey-Common test for large flat mirror measurement[J]. Journal of Applied Optics, 2010, 31(6): 984-988.
    [9]WANG Xiao-peng, ZHU Ri-hong. Quantitative evaluation for wavefront of optical elements with digitized Foucault tester[J]. Journal of Applied Optics, 2009, 30(1): 69-72.
    [10]ZHANG Jin-ye, LI Song, ZHOU Hui, ZHENG Guo-xing, LI Cui-ling. New testing method for cone prism based on Hartmann-shack wavefront sensor[J]. Journal of Applied Optics, 2008, 29(1): 136-140.

Catalog

    Get Citation
    PDF
    XML
    Article views (3692) PDF downloads (1413) Cited by()
    Turn off MathJax
    Article Contents
    Abstract
    References
    Related Articles

    Related Databases

    Advertising cooperation

    Links

    Help Center

    WeChat

    You are the  2900050th  visitor, Welcome!

    Address: No.9, west section of No.3 electronic road, Xi'an　Post Code: 710065 Tel: 029-88288172

    Copyright © Editorial Department of Journal of Applied Optics

    陕公网安备 61011302001501号       陕ICP备19002862号-1

    Beijing Renhe Information Technology Co., Ltd.   support: info@rhhz.net   百度统计

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return