Abstract

In order to reduce the vibration error of phase-shifting interferometry (PSI) and improve the demodulation accuracy of the wavefront phase, a demodulation method based on a component synthesis and gradient projection for PSI is proposed. For two sequences of interference images with a phase shift of 0, $\pi /2$, the method first corrects the vibration error by the pre-processing mechanism and multi-component synthesis. At the same time, two frames of interference images with a phase shift of 0, $\pi /2$ are synthesized. Then the gradient projection algorithm is used to filter the background light of the synthesized image, and the wavefront phase is demodulated based on the arctangent operation. The experimental results show that the percentage of pixels demodulated effectively at the truncated interface is more than 90%. Compared with the traditional demodulation method, the number of pixels demodulated effectively (demodulation accuracy) is improved.

© 2022 Optica Publishing Group

Robust weighted principal components analysis demodulation algorithm for phase-shifting interferometry

Javier Vargas, Shouyu Wang, José A. Gómez-Pedrero, and Julio C. Estrada
Opt. Express 29(11) 16534-16546 (2021)

Two-step orthogonalization phase demodulation method based on a single differential interferogram

Jiaosheng Li and Qinnan Zhang
Opt. Express 30(20) 35467-35477 (2022)

Fast and robust two-frame random phase-shifting interferometry without pre-filtering

Hangying Zhang, Feng Yang, Hong Zhao, and Liangcai Cao
Opt. Express 30(15) 26426-26439 (2022)

Fast and accurate tilt-shift-immune phase-shifting algorithm based on self-adaptive selection of interferogram subblocks and principal component analysis

Shuai Yang, Weiqian Zhao, Lirong Qiu, Yun Wang, and Songmei Tian
Appl. Opt. 59(9) 2906-2913 (2020)

Simultaneous phase-shifting dual-wavelength interferometry based on independent component analysis

Jiaosheng Li, Xiaoxu Lu, Xiaofei Xu, Zhenxing Yin, Junwei Shou, Linbo Huang, Hongzhi Cai, Dejin Zheng, and Liyun Zhong
Appl. Opt. 56(13) 3673-3678 (2017)