Matrix p- norm for phase retrieval under generalized three-step phase-shifting and its application on a red blood cell

被引：1
作者：
Wang, Yawei [1 ,2 ]
Han, Hao [2 ]
Xu, Yuanyuan [1 ]
Ji, Ying [1 ]
机构：
[1] Jiangsu Univ, Fac Sci, Engn, Zhenjiang 212013, Peoples R China
[2] Jiangsu Univ, Sch Mech Engn, Zhenjiang 212013, Peoples R China
来源：
OPTIK | 2019年 / 178卷
基金：
中国国家自然科学基金;
关键词：
Generalized phase-shifting interferometry; Matrix p- norm; Red blood cell; Phase retrieval; WAVE-FRONT RECONSTRUCTION; INTERFEROMETRY; EXTRACTION; ALGORITHM;
D O I：
10.1016/j.ijleo.2018.10.095
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Phase-shifting interferometry (PSI) is an important technique, which has been widely used in optical measurement and microscopy. Based on the matrix p- norm algorithm, a phase retrieval method applied to the generalized three-step PSI is proposed in this paper. In this method, only three phase-shifted interferograms are required without anyother measurements. When the norm p is an even number, we can obtain the good results. As for the experiment, the setup is simple in structure and easy for experimental operation. The result of a plane wavefront suggestes its accuracy. Both simulation and experimental results of a red blood cell verify that the effectiveness and practicability of this method.
引用
收藏
页码：1154 / 1162
页数：9
相关论文
共 21 条
  • [1] Phase-shift extraction and wave-front reconstruction in phase-shifting interferometry with arbitrary phase steps
    Cai, LZ
    Liu, Q
    Yang, XL
    [J]. OPTICS LETTERS, 2003, 28 (19) : 1808 - 1810
  • [2] Generalized phase-shifting interferometry with arbitrary unknown phase steps for diffraction objects
    Cai, LZ
    Liu, Q
    Yang, XL
    [J]. OPTICS LETTERS, 2004, 29 (02) : 183 - 185
  • [3] Phase-shifting interferometry with uncalibrated phase shifts
    Chen, X
    Gramaglia, M
    Yeazell, JA
    [J]. APPLIED OPTICS, 2000, 39 (04) : 585 - 591
  • [4] Single-wavelength phase retrieval method from simultaneous multi-wavelength in-line phase-shifting interferograms
    Fei, Leihuan
    Lu, Xiaoxu
    Wang, Haling
    Zhang, Wangping
    Tian, Jindong
    Zhong, Liyun
    [J]. OPTICS EXPRESS, 2014, 22 (25): : 30910 - 30923
  • [5] Zero difference algorithm for phase shift extraction in blind phase-shifting holography
    Guo, Cheng-Shan
    Sha, Bei
    Xie, Yi-Yan
    Zhang, Xiu-Jiang
    [J]. OPTICS LETTERS, 2014, 39 (04) : 813 - 816
  • [6] Phase-shifting interferometry based on principal component analysis
    Vargas, J.
    Antonio Quiroga, J.
    Belenguer, T.
    [J]. OPTICS LETTERS, 2011, 36 (08) : 1326 - 1328
  • [7] Advanced iterative algorithm for phase extraction of randomly phase-shifted interferograms
    Wang, ZY
    Han, BT
    [J]. OPTICS LETTERS, 2004, 29 (14) : 1671 - 1673
  • [8] Phase-shift extraction for phase-shifting interferometry by histogram of phase difference
    Xu, Jiancheng
    Li, Yong
    Wang, Hui
    Chai, Liqun
    Xu, Qiao
    [J]. OPTICS EXPRESS, 2010, 18 (23): : 24368 - 24378
  • [9] Simple direct extraction of unknown phase shift and wavefront reconstruction in generalized phase-shifting interferometry: algorithm and experiments
    Xu, X. E.
    Cai, L. Z.
    Wang, Y. R.
    Meng, X. E.
    Sun, W. J.
    Zhang, H.
    Cheng, X. C.
    Dong, G. Y.
    Shen, X. X.
    [J]. OPTICS LETTERS, 2008, 33 (08) : 776 - 778
  • [10] Generalized phase-shifting interferometry with arbitrary unknown phase shifts: Direct wave-front reconstruction by blind phase shift extraction and its experimental verification
    Xu, X. F.
    Cai, L. Z.
    Wang, Y. R.
    Yang, X. L.
    Meng, X. F.
    Dong, G. Y.
    Shen, X. X.
    Zhang, H.
    [J]. APPLIED PHYSICS LETTERS, 2007, 90 (12)
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