TY - JOUR
T1 - Random three-step phase retrieval approach based on difference map Gram–Schmidt orthonormalization and Lissajous ellipse fitting method
AU - Zhang, Yu
AU - Tian, Xiaobo
AU - Liang, Rongguang
N1 - Funding Information:
This work was supported by the National Natural Science Foundation of China (NSFC) ( 11304034 ); Project of Jilin Province Science and Technology Development Plan (20190701018GH); Program of Jilin Provincial Educational Department (JJKH20190691KJ); State Key Laboratory of Applied Optics.
Publisher Copyright:
© 2019 Elsevier Ltd
PY - 2019/10
Y1 - 2019/10
N2 - To achieve high measurement accuracy with less computational time in phase-shifting interferometry, a random phase retrieval approach based on difference map Gram–Schmidt othonormalization and Lissajous ellipse fitting method (DGS-LEF) is proposed, it easy to implement and only needs three phase shifted interferograms, it doesn't need pre-filtering, moreover, the phase shift can be random except for too small relative phase shift between two adjacent interferograms, last but not least, this method is effective for the symmetrical and asymmetrical fringes. The simulations and experiments verify the correctness and feasibility of DGS-LEF.
AB - To achieve high measurement accuracy with less computational time in phase-shifting interferometry, a random phase retrieval approach based on difference map Gram–Schmidt othonormalization and Lissajous ellipse fitting method (DGS-LEF) is proposed, it easy to implement and only needs three phase shifted interferograms, it doesn't need pre-filtering, moreover, the phase shift can be random except for too small relative phase shift between two adjacent interferograms, last but not least, this method is effective for the symmetrical and asymmetrical fringes. The simulations and experiments verify the correctness and feasibility of DGS-LEF.
KW - Accuracy
KW - Computational time
KW - Difference map Gram–Schmidt normalization
KW - Lissajous ellipse fitting
KW - Phase shift
KW - Phase-shifting algorithm
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U2 - 10.1016/j.optlaseng.2019.03.012
DO - 10.1016/j.optlaseng.2019.03.012
M3 - Article
AN - SCOPUS:85063101956
SN - 0143-8166
VL - 121
SP - 11
EP - 17
JO - Optics and Lasers in Engineering
JF - Optics and Lasers in Engineering
ER -