Journal of Applied Optics, Volume. 44, Issue 5, 1080(2023)

Spatiotemporal phase-shifting method for interferograms of apertures with arbitrary shape

Liwei ZHANG1,2, Haobo CHEN1,2, Haiyu BAO1,2, Xingzhi WU1,2, Wenqing SUN1,2、*, and Quanying WU1,2
Author Affiliations
  • 1School of Physical Science and Technology, Suzhou University of Science and Technology, Suzhou 215009, China
  • 2Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, Suzhou 215009, China
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    References(17)

    [1] BRUNING J H, HERRIOTT D R, GALLAGHER J E et al. Digital wavefront measuring interferometer for testing optical surfaces and lenses[J]. Applied Optics, 13, 2693-2703.(1974).

    [2] STOILOV G, DRAGOSTINOV T. Phase-stepping interferometry: five-frame algorithm with an arbitrary step[J]. Optics and Lasers in Engineering, 28, 61-9.(1997).

    [3] OKADA K, SATO A, TSUJIUCHI J. Simultaneous calculation of phase distribution and scanning phase shift in phase shifting interferometry[J]. Optics Communications, 84, 118-124.(1991).

    [4] WANG Z, HAN B. Advanced iterative algorithm for randomly phase-shifted interferograms with intra- and inter-frame intensity variations[J]. Optics and Lasers in Engineering, 45, 274-280.(2007).

    [5] CHEN Y, QIAN K. General iterative algorithm for phase-extraction from fringe patterns with random phase-shifts, intensity harmonics and non-uniform phase-shift distribution[J]. Optics Express, 29, 30905-30926.(2021).

    [6] DUAN M L, ZONG Y, ZHU R H et al. Phase-tilt iteration: accurate and robust phase extraction from random tilt-shift interferograms[J]. Optics and Lasers in Engineering, 142, 106595.(2021).

    [7] ZHANG Y, TIAN X, LIANG R G. Phase extraction from two randomly phase shifted interferograms by combining advanced principal component analysis and Lissajous ellipse fitting[J]. Optics and Lasers in Engineering, 132, 106134(2020).

    [8] ZHANG Y. Random phase retrieval approach using Euclidean matrix norm of sum and difference map and fast least-squares algorithm[J]. Optics Communications, 460, 125174(2020).

    [9] ZHU R, LI B, ZHU R et al. Phase extraction from two phase-shifting fringe patterns using spatial-temporal fringes method[J]. Optics Express, 24, 6814-6824.(2016).

    [10] FAN Guoxiang, LI Yang, ZHANG Wenxi et al. Full-field heterodyne phase shifting two-wavelength interferometry surface testing technologies[J]. Infrared and Laser Engineering, 51, 20220118(2022).

    [11] ZHANG Chao, YUAN Qun, ZHANG Jiale et al. Calibration method of the phase-shifting error for the topography measurement utilizing white light interferometric microscopy[J]. Infrared and Laser Engineering, 51, 20220050(2022).

    [12] CAI Yawen, ZHANG Qingjun, LIU Jie et al. Multi-degree of freedom acquisition system based on wide-spectrum phase-shifting interferometry[J]. Journal of Applied Optics, 42, 775-781(2021).

    [13] ZHAI Zhongsheng, ZHANG Yi, FENG Wei et al. High sensitivity micro-displacement homodyne interferometry[J]. Journal of Applied Optics, 43, 74-80(2022).

    [14] RI S, MURAMATSU T. Theoretical error analysis of the sampling moire method and phase compensation methodology for single-shot phase analysis[J]. Applied Optics, 51, 3214-3223.(2012).

    [15] RI S, TAKIMOTO T, XIA P et al. Accurate phase analysis of interferometric fringes by the spatiotemporal phase-shifting method[J]. Journal of Optics, 22, 105703.(2020).

    [16] WU Lunzhe, XU Xueke, WU Lingqi et al. Method of edge control on surface error in aspherical optics[J]. Infrared and Laser Engineering, 51, 20220602(2022).

    [17] ZHU Ronggang. Study of spatial-temporal fringe-based phase extraction technique and its applications[D](2018).

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    Liwei ZHANG, Haobo CHEN, Haiyu BAO, Xingzhi WU, Wenqing SUN, Quanying WU. Spatiotemporal phase-shifting method for interferograms of apertures with arbitrary shape[J]. Journal of Applied Optics, 2023, 44(5): 1080

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    Paper Information

    Category: Research Articles

    Received: Dec. 1, 2022

    Accepted: --

    Published Online: Mar. 12, 2024

    The Author Email: Wenqing SUN (孙文卿)

    DOI:10.5768/JAO202344.0503004

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