Abstract

From generalized phase-shifting equations, we propose a simple linear system analysis for algorithms with equally and nonequally spaced phase shifts. The presence of a finite number of harmonic components in the fringes of the intensity patterns is taken into account to obtain algorithms insensitive to these harmonics. The insensitivity to detuning for the fundamental frequency is also considered as part of the description of this study. Linear systems are employed to recover the desired insensitivity properties that can compensate linear phase shift errors. The analysis of the wrapped phase equation is carried out in the Fourier frequency domain.

©2012 Optical Society of America

Compensation of the two-stage phase-shifting algorithms in the presence of detuning and harmonics

Alejandro Téllez-Quiñones, Daniel Malacara-Doblado, and Jorge García-Márquez
J. Opt. Soc. Am. A 30(8) 1670-1679 (2013)

Family of detuning-insensitive phase-shifting algorithms

Daniel Malacara-Doblado and Benito V. Dorrı́o
J. Opt. Soc. Am. A 17(10) 1857-1863 (2000)

Basic Fourier properties for generalized phase shifting and some interesting detuning insensitive algorithms

Alejandro Téllez-Quiñones, Daniel Malacara-Doblado, and Jorge García-Márquez
Appl. Opt. 50(21) 4083-4090 (2011)

Fourier analysis of two-stage phase-shifting algorithms

Marta Miranda and Benito V. Dorrío
J. Opt. Soc. Am. A 27(2) 276-285 (2010)

Graphic tool to produce tailored symmetrical phase-shifting algorithms

Daniel Malacara-Doblado, Benito V. Dorrío, and Daniel Malacara-Hernández
Opt. Lett. 25(1) 64-66 (2000)