In this manuscript, some interesting properties for generalized or nonuniform phase-shifting algorithms are shown in the Fourier frequency space. A procedure to find algorithms with equal amplitudes for their sampling function transforms is described. We also consider in this procedure the finding of algorithms that are orthogonal for all possible values in the frequency space. This last kind of algorithms should closely satisfy the first order detuning insensitive condition. The procedure consists of the minimization of functionals associated with the desired insensitivity conditions.
© 2011 Optical Society of America
Instrumentation, Measurement, and Metrology
Original Manuscript: April 29, 2011
Revised Manuscript: June 10, 2011
Manuscript Accepted: June 13, 2011
Published: July 15, 2011
Alejandro Téllez-Quiñones, Daniel Malacara-Doblado, and Jorge García-Márquez, "Basic Fourier properties for generalized phase shifting and some interesting detuning insensitive algorithms," Appl. Opt. 50, 4083-4090 (2011)