• Acta Optica Sinica
  • Vol. 34, Issue 7, 712007 (2014)
Li Mengyang1、*, Li Dahai1, Zhao Jiwen1, Zhang Chen1, and Wang Qionghua1、2
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
  • show less
    DOI: 10.3788/aos201434.0712007 Cite this Article Set citation alerts
    Li Mengyang, Li Dahai, Zhao Jiwen, Zhang Chen, Wang Qionghua. Wavefront Reconstruction Based on Standard Orthonormal Vector Polynomials in a Square Area[J]. Acta Optica Sinica, 2014, 34(7): 712007 Copy Citation Text show less
    References

    [1] Liu Minshi, Wang Xiaoman, Jing Wenbo, et al.. Design of parameters of Shack-Hartmann wave-front sensor for laser-beam quality measurement [J]. Acta Optica Sinica, 2013, 33(3): 0328002.

    [2] Guo Chunfeng, Su Xianyu, Chen Wenjing, et al.. A new null Ronchi test for aspheric surfaces [J]. Acta Optica Sinica, 2012, 32(8): 0812002.

    [3] J Nam, L N Thibos, D R Iskander. Zernike radial slope polynomials for wavefront reconstruction and refraction [J]. J Opt Soc Am A, 2009, 26(4): 1035-1048.

    [4] Zhang Jinping, Zhang Zhongyu, ZhangXuejun, et al.. Algorithm for extending dynamic range of Shack-Hartmann wavefront sensor [J]. Acta Optica Sinica, 2011, 31(8): 0812006.

    [5] P D Pulaski, J P Roller, D R Neal, et al.. Measurement of aberrations in microlenses using a Shack-Hartmann wavefront sensor [C]. SPIE, 2002, 4767: 44-52.

    [6] R Cubalchini. Modal wavefront estimation from phase derivation measurements [J]. J Opt Soc Am, 1979, 69(7): 972-977.

    [7] D L Fried. Least-square fitting a wave-front distortion estimate to an array of phase difference measurements [J]. J Opt Soc Am, 1977, 67(3): 370-375.

    [8] R H Hudgin. Wave-front reconstruction for compensated imaging [J]. J Opt Soc Am, 1978, 67(3): 375-378.

    [9] J R Noll. Phase estimates from slope-type wave-front sensors [J]. J Opt Soc Am, 1977, 68(1): 139-140.

    [10] W Southwell. Wavefront estimation from wavefront slope measurements [J]. J Opt Soc Am, 1980, 70(8): 998-1006.

    [11] R L Rayces. Least-squares fitting of orthogonal polynomials to the wave abbration function [J]. Appl Opt, 1992, 31(13): 2223-2228.

    [12] G M Dai. Wavefront reconstruction from slope data within pupils of arbitrary shapes using iterative Fourier transform [J]. The Open Optics Journal, 2007, 1: 1-3.

    [13] R J Noll. Zernike polynomials and atmospheric turbulece [J]. J Opt Soc Am, 1976, 66(3): 207-211.

    [14] G M Dai. Modal wave-front reconstruction with Zernike polynomials and Karhunen-Loève functions [J]. J Opt Soc Am A, 1996, 13(6): 1218-1225.

    [15] Jan Herrmann. Cross coupling and aliasing in modal wavefront estimation [J]. J Opt Soc Am, 1981, 71(8): 989-992.

    [16] K R Freischlad, C L Koliopoulos. Modal estimation of a wave front from difference measurements using the discrete Fourier transform [J]. J Opt Soc Am, 1986, 3(11): 1852-1861.

    [17] C Zhao, J H Burge. Orthonormal vector polynomials in a unit circle, part I: basis set derived from gradients of Zernike polynomials [J]. Opt Express, 2007, 15: 18014-18024.

    [18] C Zhao, J H Burge. Orthonormal vector polynomials in a unit circle, part II : completing the basis set [J]. Opt Express, 2008, 16(9): 6586-6591.

    [19] H M Martin, J H Burge, S M Miler, et al.. Fabrication and testing of 8.4 m off-axis segments for the giant Magellan telescope [C]. OSA, 2008: OWD6.

    [20] P Zhou, H M Martin, C Zhao, et al.. Mapping distortion correction for GMT interferometric test [C]. OSA, 2012: OW3D.

    [21] Chunyu Zhao, James H Burge. Orthonormal vector polynomials in a unit circle, application: fitting mapping distortions in a null test [C]. SPIE, 2010, 7426: 7426V.

    [22] A Gavrielids. Vector polynomials orthogonal to the gradient of Zernike polynomials [J]. Opt Lett, 1982, 70(11): 526-528.

    [23] R Upton, B Ellerbroek. Gram-Schimdt orthogonalization of the Zernike polynomials on apertures of arbitrary shape [J]. Opt Lett, 2004, 29(24): 2840-2842.

    CLP Journals

    [1] Chen Haiping, Li Jiabin, Liu Changchun, Xiong Zhao, Zhou Hai, Yuan Xiaodong, Zheng Wanguo. Research on Angle Measure Error Based on Method of Angle Difference[J]. Acta Optica Sinica, 2014, 34(10): 1012003

    Li Mengyang, Li Dahai, Zhao Jiwen, Zhang Chen, Wang Qionghua. Wavefront Reconstruction Based on Standard Orthonormal Vector Polynomials in a Square Area[J]. Acta Optica Sinica, 2014, 34(7): 712007
    Download Citation