Open AccessThe Least-squares Algorithm for Interferograms with Random Phase Shifts
Author(s) -
Zhongsheng Zhai,
Jinsong Li,
Yanhong Zhang,
Qinghua Lv,
Xuanze Wang
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/569/5/052066
Subject(s) - interferometry , phase (matter) , algorithm , amplitude , least squares function approximation , optics , computer science , mathematics , physics , statistics , quantum mechanics , estimator
In surface shape measurement with phase-shifting interferometry, the extraction accuracy of initial phase is significant and it will influence the correct of measurement result. A least-squares algorithm is proposed to solve the parameters of interferograms with random and known phase shifts. It can rapidly extract the initial phase, modulation amplitude and background intensity without any iteration. Numerical simulations and optical experiments are implemented to demonstrate the performance of the proposed method. The simulation and experiment results show that the presented method is effective, rapid and accurate.