Chinese Journal of Lasers, Volume. 39, Issue 11, 1108011(2012)

Wavefront Reconstruction with Orthonormal Polynomials in a Square Area

Li Mengyang1、*, Li Dahai1, Wang Qionghua1,2, Zhao Jiwen1, Zhang Chen1, Chen Yingfeng1, and Zhang Chong1
Author Affiliations
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  • 2[in Chinese]
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    References(16)

    [1] [1] Fan Xinlong, Guan Chunlin, Rao Changhui. Wave-front fitting capability analysis of 1.8 m telescole′s adaptive secondary mirror[J]. Acta Optica Sinica, 2011, 31(8): 0822002

    [2] [2] Shi Jinfeng, Wu Qingwen, Zhang Jianping et al.. Thermal-optical analysis for optical window of high-altitude and high-speed aerial camera[J]. Acta Optica Sinica, 2012, 32(4): 0422004

    [3] [3] 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(26): 18014~18024

    [4] [4] R. J. Noll. Zernike polynomials and atmospheric turbulence[J]. J. Opt. Soc. Am., 1976, 66(3): 207~211

    [5] [5] M. Born, E. Wolf. Principle of Optics[M]. Cambridge: Cambridge University Press, 2005

    [6] [6] R. Upton, B. Ellerbroek. Gram-Schmidt orthogonalization of the Zernike polynomials on apertures of arbitrary shape[J]. Opt. Lett., 2004, 29(24): 2840~2842

    [7] [7] W. H. Swantner, W. H. Lowrey. Zernike-Tatian polynomials for interferogram reduction[J]. Appl. Opt., 1980, 19(1): 161~163

    [8] [8] V. N. Mahajan. Zernike annular polynomials for imaging systems with annular pupils[J]. J. Opt. Soc. Am., 1981, 71(1): 75~85

    [12] [12] J. C. Wyant. Zernike Polynomials, Zernike Polynomials For The Web.nb, 2003

    [13] [13] T. M. Apostol. Linear Algebra-A First Course With Applications to Differential Equations[M]. Shen Hao, Shen Jiachen Transl.. Beijng: People′s Posts and Telecom Press, 2010. 103~109

    [14] [14] Guangming Dai. Modified Hartmann-Shack wavefront sensing and iterative wavefront reconstruction[C]. SPIE, 1994, 2201: 562~573

    [15] [15] P. Hariharan, D. Sen. Radial shearing interferometer[J]. J. Scientific Instruments, 1961, 38(11): 428~432

    [16] [16] W. H. Southwell. Wave-front estimation from wave-front slope measurement[J]. J. Opt. Soc. Am., 1980, 70(8): 998~1006

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    Li Mengyang, Li Dahai, Wang Qionghua, Zhao Jiwen, Zhang Chen, Chen Yingfeng, Zhang Chong. Wavefront Reconstruction with Orthonormal Polynomials in a Square Area[J]. Chinese Journal of Lasers, 2012, 39(11): 1108011

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    Paper Information

    Category: measurement and metrology

    Received: Jun. 10, 2012

    Accepted: --

    Published Online: Oct. 25, 2012

    The Author Email: Li Mengyang (limengyang200800@163.com)

    DOI:10.3788/cjl201239.1108011

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