Optics and Precision Engineering, Volume. 24, Issue 10, 2565(2016)

Phase shift extraction algorithm with error estimation in phase-shifting interferometry

LIU Qian1... YUAN Dao-cheng1,2 and HE Jian-guo1 |Show fewer author(s)
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  • 2[in Chinese]
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    References(15)

    [1] [1] ZHANG Y, JIN CH SH, MA D M, et al.. Alignment technology for double-fiber phase-shifting point diffraction interferometer [J]. Infrared and Laser Eng., 2014, 43(1): 145-150. (in Chinese)

    [2] [2] VANWINGERDEN J, FRANKENA H, SMORENBURG C. Linear approximation for measurement errors in phase shifting interferometry [J]. Appl. Opt., 1991, 30(19): 2718-2729.

    [5] [5] OREB B F, FARRANT D I, WALSH C J, et al.. Calibration of a 300-mm-aperture phase-shifting Fizeau interferometer [J]. Appl. Opt., 2000, 39(28):5161-5171.

    [7] [7] DENG Y, LIU N, CAO H B, et al.. Nd:YAG laser feedback interference effects based PZT precision measurement technology and system [J]. Infrared and Laser Eng., 2014, 43(10): 3434-3438. (in Chinese)

    [8] [8] XU J, LI Y, WANG H, et al.. Phase-shift extraction for phase-shifting interferometry by histogram of phase difference [J]. Opt. Express, 2010, 18(23): 24368-24378.

    [9] [9] GUO H, ZHANG Z. Phase shift estimation from variances of fringe pattern differences [J]. Appl. Opt., 2013, 52(26): 6572-6578.

    [10] [10] GUO H, YU Y, CHEN M. Blind phase shift estimation in phase-shifting interferometry [J]. J. Opt. Soc. Am. A, 2007, 24(1): 25-33.

    [11] [11] GAO P, YAO B, LINDLEIN N, et al.. Phase-shift extraction for generalized phase-shifting interferometry [J]. Opt. Lett., 2009, 34(22): 3553-3555.

    [12] [12] WANG Z, HAN B. Advanced iterative algorithm for phase extraction of randomly phase-shifted interferograms [J]. Opt. Lett., 2004, 29(14): 1671-1673.

    [13] [13] LIU Q, WANG Y, HE J G, et al.. Phase shift extraction and wavefront retrieval from interferograms with background and contrast fluctuations [J]. J. Opt., 2015, 17: 025704.

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    LIU Qian, YUAN Dao-cheng, HE Jian-guo. Phase shift extraction algorithm with error estimation in phase-shifting interferometry[J]. Optics and Precision Engineering, 2016, 24(10): 2565

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    Paper Information

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    Received: May. 6, 2016

    Accepted: --

    Published Online: Nov. 23, 2016

    The Author Email:

    DOI:10.3788/ope.20162410.2565

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