Demodulation of two-shot fringe patterns with random phase shifts by use of orthogonal polynomials and global optimization

Optics Express
Chao Tian, Shengchun Liu

Abstract

We propose a simple and robust phase demodulation algorithm for two-shot fringe patterns with random phase shifts. Based on a smoothness assumption, the phase to be recovered is decomposed into a linear combination of finite terms of orthogonal polynomials, and the expansion coefficients and the phase shift are exhaustively searched through global optimization. The technique is insensitive to noise or defects, and is capable of retrieving phase from low fringe-number (less than one) or low-frequency interferograms. It can also cope with interferograms with very small phase shifts. The retrieved phase is continuous and no further phase unwrapping process is required. The method is expected to be promising to process interferograms with regular fringes, which are common in optical shop testing. Computer simulation and experimental results are presented to demonstrate the performance of the algorithm.

References

Aug 8, 2001·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·K G LarkinM A Oldfield
Dec 1, 2005·Optics Letters·J A GuerreroJ A Quiroga
Mar 14, 2008·Applied Optics·X ChenJ A Yeazell
Oct 11, 2008·Applied Optics·Jiancheng XuHansheng Peng
Oct 14, 2010·Optics Express·Jiancheng XuHui Wang
Jan 26, 2011·Optics Express·J VargasT Belenguer
Jan 26, 2011·Optics Express·J VargasJ C Estrada
Feb 24, 2011·Applied Optics·Krzysztof Patorski, Krzysztof Pokorski
Apr 19, 2011·Optics Letters·J VargasT Belenguer
Jul 12, 2011·Applied Optics·Chao TianYongmo Zhuo
Sep 3, 2011·Optics Letters·J VargasJ M Carazo
Feb 12, 2014·Optics Express·Maciej TrusiakKrzysztof Pokorski
Feb 25, 2014·Optics Letters·Cheng-Shan GuoXiu-Jiang Zhang
May 15, 2015·Optics Express·Jian DengWei Chen
Aug 15, 2015·Optics Letters·Rishikesh Kulkarni, Pramod Rastogi

❮ Previous
Next ❯