Parallel phase shifting radial shear interferometry with complex fringes and unknown phase shift

• Published in: Applied optics. Optical technology and biomedical optics Vol. 59; no. 7; p. 2128
• Main Authors: García-Lechuga, Luis, Pérez-Luna, Patricia, Flores, Victor H, Montes-Pérez, Areli, Quiroz-Rodríguez, Adolfo, Manuel Islas-Islas, Juan, Toto-Arellano, Noel-Ivan
• Format: Journal Article
• Language: English
• Published: United States 01.03.2020
• ISSN: 2155-3165
• DOI: 10.1364/AO.385632

We present an interferometric method to analyze transparent samples using complex fringes generated by a parallel phase shifting radial shear interferometer using two coupled interferometers. Parallel interferograms are generated using two interferometers: the first one generates the polarized base pattern, and the second system is used to generate parallel interferograms allowing the adjustment of the - positions of the parallel interferograms. To obtain the optical phase map, parallel phase shift is generated by collocating polarizing filters at the output of the system; the polarizers are placed at arbitrary angles since they do not require adjustment because of the phase-recovery algorithm. The optical phase was processed using a two-step algorithm based on a modified Gram-Schmidt orthogonalization method. Such an algorithm has the advantage of not being iterative and is robust to amplitude modulation. The proposed method reduces the number of captures needed in phase-shifting interferometry. We applied the developed system to examine static and dynamics phase objects.