The Fourier analysis of two-stage phase-shifting (TSPS) algorithms is growing in interest as a research topic, specifically, the algorithm’s insensitivity properties to various error sources. The main motivation of this paper is to propose TSPS algorithms that perform well in the face of detuning and harmonics for each of the two sets of interferograms with different or equal reference frequencies. TSPS algorithms based on the development of generalized equations consider both the frequency sampling functions that represent them and nonconstant phase shifts.
© 2013 Optical Society of America
Instrumentation, Measurement, and Metrology
Original Manuscript: April 23, 2013
Revised Manuscript: June 30, 2013
Manuscript Accepted: July 1, 2013
Published: July 24, 2013
Alejandro Téllez-Quiñones, Daniel Malacara-Doblado, and Jorge García-Márquez, "Compensation of the two-stage phase-shifting algorithms in the presence of detuning and harmonics," J. Opt. Soc. Am. A 30, 1670-1679 (2013)