Open AccessAccurate and fast two-step phase shifting algorithm based on principle component analysis and Lissajous ellipse fitting with random phase shift and no pre-filtering
Author(s) -
Yu Zhang,
Xiaobo Tian,
Rongguang Liang
Publication year - 2019
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.27.020047
Subject(s) - lissajous curve , ellipse , amplitude , phase (matter) , optics , algorithm , phase modulation , principal component analysis , modulation (music) , amplitude modulation , computer science , interferometry , intensity (physics) , physics , frequency modulation , mathematics , phase noise , artificial intelligence , geometry , telecommunications , acoustics , bandwidth (computing) , quantum mechanics
To achieve high measurement accuracy with less computational time-in-phase shifting interferometry, a random phase-shifting algorithm based on principal component analysis and Lissajous ellipse fitting (PCA&LEF) is proposed. It doesn't need pre-filtering and can obtain relatively accurate phase distribution with only two phase shifted interferograms and less computational time and is suitable for different background intensity, modulation amplitude distributions and noises. Moreover, it can obtain absolutely accurate result when the background intensity and modulation amplitude are perfect and can partly suppress the effect of imperfect background intensity and modulation amplitude. Last but not least, it removes the restriction that PCA needs more than three interferograms with well-distributed phase shifts to subtract relatively accurate mean. The simulations and experiments verify the correctness and feasibility of PCA&LEF.