• Acta Photonica Sinica
  • Vol. 52, Issue 2, 0212003 (2023)
Chang LIU1, Hubing DU1,*, Leijie FENG1, Xingxu YAN1, and Gaopeng ZHANG2,**
Author Affiliations
  • 1School of Mechatronic Engineering,Xi'an Technological University,Xi'an 710021,China
  • 2Xi'an Institute of Optics and Precision Mechanics,Chinese Academy of Sciences,Xi'an 710119,China
  • show less
    DOI: 10.3788/gzxb20235202.0212003 Cite this Article
    Chang LIU, Hubing DU, Leijie FENG, Xingxu YAN, Gaopeng ZHANG. Two Step Phase-shifting Interferometry by Least Squares Iterative Optimization[J]. Acta Photonica Sinica, 2023, 52(2): 0212003 Copy Citation Text show less
    References

    [1] Chao TIAN, Shengchun LIU. Demodulation of two-shot fringe patterns with random phase shifts by use of orthogonal polynomials and global optimization. Optics Express, 24, 3202-3215(2016).

    [2] M TRUSIAK. Fringe analysis: single-shot or two-frames? Quantitative phase imaging answers. Optics Express, 29, 18192-18211(2021).

    [3] T M KREIS, W JUEPTNER. Fourier transform evaluation of interference patterns: demodulation and sign ambiguity, 1553, 263-273(1992).

    [4] J VARGAS, J A QUIROGA, C O SORZANO et al. Two-step demodulation based on the Gram-Schmidt orthonormalization method. Optics Letters, 37, 443-445(2012).

    [5] J VARGAS, J A QUIROGA, T BELENGUER et al. Two-step self-tuning phase-shifting interferometry. Optics Letters, 19, 638-648(2011).

    [6] J VARGAS, J A QUIROGA, C O SORZANO et al. Two-step interferometry by a regularized optical flow algorithm. Optics Letters, 36, 3485-3487(2011).

    [7] Chao TIAN, Shengchun LIU. Phase retrieval in two-shot phase-shifting interferometry based on phase shift estimation in a local mask. Optics Express, 25, 21673-21683(2017).

    [8] Zhongtao CHENG, Dong LIU, Lei ZHANG. Random two-frame phase-shifting interferometry via minimization of coefficient of variation. Applied Physics Letters, 115, 121107(2019).

    [9] Yu ZHANG, Xiaobo TIAN, Rongguang LIANG. Random two-step phase shifting interferometry based on Lissajous ellipse fitting and least squares technologies. Optics Express, 26, 15059-15071(2018).

    [10] Hangying ZHANG, Hong ZHAO, Zixin ZHAO et al. Two-frame fringe pattern phase demodulation using Gram-Schmidt orthonormalization with least squares method. Optics Express, 27, 10495-10508(2019).

    [11] J VARGAS, J A QUIROGA, T BELENGUER. Phase-shifting interferometry based on principal component analysis. Optics Letters, 36, 1326-1328(2011).

    [12] Hangying ZHANG, Feng YANG, Hong ZHAO et al. Fast and robust two-frame random phase-shifting interferometry without pre-filtering. Optics Express, 30, 26426-26439(2022).

    [13] J A GOMEZ-PEDRERO, J C ESTRADA, J ALONSO et al. Incremental PCA algorithm for fringe pattern demodulation. Optics Express, 30, 12278-12293(2022).

    [14] Zhaoyang WANG, Bongtae HAN. Advanced iterative algorithm for phase extraction of randomly phase-shifted interferograms. Optics Letters, 29, 1671-1673(2004).

    [15] Zhongtao CHENG, Dong LIU. Fast and accurate wavefront reconstruction in two-frame phase-shifting interferometry with unknown phase step. Optics Letters, 43, 3033-3036(2018).

    [16] Zixin ZHAO, Hangying ZHANG, Zhaoxian XIAO et al. Robust 2D phase unwrapping algorithm based on the transport of intensity equation. Measurement Science and Technology, 30, 015201(2019).

    Chang LIU, Hubing DU, Leijie FENG, Xingxu YAN, Gaopeng ZHANG. Two Step Phase-shifting Interferometry by Least Squares Iterative Optimization[J]. Acta Photonica Sinica, 2023, 52(2): 0212003
    Download Citation