Linear systems theory for the analysis of phase-shifting algorithms

Julio C. Estrada; Manuel Servín; Juan A. Quiroga

doi:10.1117/12.860982

2 August 2010 Linear systems theory for the analysis of phase-shifting algorithms

Julio C. Estrada, Manuel Servín, Juan A. Quiroga

Proceedings Volume 7790, Interferometry XV: Techniques and Analysis; 779008 (2010) https://doi.org/10.1117/12.860982
Event: SPIE Optical Engineering + Applications, 2010, San Diego, California, United States

Abstract

Phase-shifting algorithms are methods used for recovering the modulating phase of an interferogram sequence obtained by Phase Stepping Interferometry (PSI) techniques. Typically, the number of interferograms in a PSI sequence is from 3 to around 9 interferograms, although we can find algorithms that works with more than 9 interferograms. In this paper, we are going to show the analysis and design of phase-shifting algorithms from the point of view of the linear systems paradigm from digital signal processing. We will show how this paradigm describes in a general fashion the phase-shifting algorithm systems, and how we can easily design tunable phase-shifting algorithms using this simple scheme.

Citation Download Citation

Julio C. Estrada, Manuel Servín, and Juan A. Quiroga "Linear systems theory for the analysis of phase-shifting algorithms", Proc. SPIE 7790, Interferometry XV: Techniques and Analysis, 779008 (2 August 2010); https://doi.org/10.1117/12.860982

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