1-Norm character of phase shifting interferograms and its application in phase shift extraction

被引：16

作者：

Deng, Jian ^{[1
]}

Zhong, Liyun ^{[1
]}

Wang, Hanlin ^{[1
]}

Wang, Hankun ^{[1
]}

Zhang, Wangpin ^{[1
]}

Zhang, Fengjie ^{[2
]}

Ma, Shuzhen ^{[2
]}

Lu, Xiaoxu ^{[1
]}

机构：

[1] S China Normal Univ, Lab Nanophoton Funct Mat & Devices, Guangzhou 510006, Guangdong, Peoples R China

[2] Hans Laser Technol Co LTD, Shenzhen 518057, Peoples R China

来源：

OPTICS COMMUNICATIONS | 2014年 / 316卷

关键词：

Phase-shifting interferometry; Phase shifting interferograms; Phase shift; 1-Norms; INTERFEROMETRY; ALGORITHM;

D O I：

10.1016/j.optcom.2013.12.005

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Aiming at the situation that the fringe number in the interferogram is less than one, a novel phase shift extraction algorithm is proposed. By introducing the 1-norm of a sequence of phase-shifting interferograms and analyzing its character, which changes in the cosine form with the phase shift, the phase shift can be extracted from an arccosine function easily. Specially, so long as the fringe number in the interferogram is less than 0.5, both the simulation calculation and experimental research show that the phase shift with high precision can be obtained directly and rapidly in the proposed algorithm. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：156 / 160

页数：5

共 17 条

[11] Two-step interferometry by a regularized optical flow algorithm
Vargas, J.
Antonio Quiroga, J.
Sorzano, C. O. S.
Estrada, J. C.
Carazo, J. M.
[J]. OPTICS LETTERS, 2011, 36 (17) : 3485 - 3487
[12] Analysis of the principal component algorithm in phase-shifting interferometry
Vargas, J.
Antonio Quiroga, J.
Belenguer, T.
[J]. OPTICS LETTERS, 2011, 36 (12) : 2215 - 2217
[13] Phase-shifting interferometry based on principal component analysis
Vargas, J.
Antonio Quiroga, J.
Belenguer, T.
[J]. OPTICS LETTERS, 2011, 36 (08) : 1326 - 1328
[14] Advanced iterative algorithm for phase extraction of randomly phase-shifted interferograms
Wang, ZY
Han, BT
[J]. OPTICS LETTERS, 2004, 29 (14) : 1671 - 1673
[15] Removing the Residual Zeroth-Order Diffraction Wave in Polarization-Based Parallel Phase-Shifting Digital Holography System
Xia, Peng
Tahara, Tatsuki
Fujii, Motofumi
Kakue, Takashi
Awatsuji, Yasuhiro
Nishio, Kenzo
Ura, Shogo
Kubota, Toshihiro
Matoba, Osamu
[J]. APPLIED PHYSICS EXPRESS, 2011, 4 (07)
[16] 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
[17] Blind phase shift extraction and wavefront retrieval by two-frame phase-shifting interferometry with an unknown phase shift
Xu, X. F.
Cai, L. Z.
Wang, Y. R.
Meng, X. F.
Zhang, H.
Dong, G. Y.
Shen, X. X.
[J]. OPTICS COMMUNICATIONS, 2007, 273 (01) : 54 - 59

← 1 2 →