Abstract

The design of phase-shifting algorithms (PSA’s) has been carried out with diverse strategies by different authors. A generalized algebraic approach is employed to obtain a family of detuning-insensitive PSA’s; their behavior against a linear phase error is analyzed from a geometric point of view. The obtained results are compared with the conditions provided by the Fourier representation of the corresponding sampling reference functions. In our case, new equations as criteria for determining whether a PSA is detuning insensitive, new analytic expressions for the phase error, and new algorithms with interesting properties are achieved.

© 2000 Optical Society of America

Family of detuning-insensitive phase-shifting algorithms: erratum

Daniel Malacara-Doblado and Benito V. Dorrı́o
J. Opt. Soc. Am. A 18(3) 721-721 (2001)

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)

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)

Phase-shifting algorithms for a finite number of harmonics: first-order analysis by solving linear systems

Alejandro Téllez-Quiñones, Daniel Malacara-Doblado, and Jorge García-Márquez
J. Opt. Soc. Am. A 29(4) 431-441 (2012)

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)