Abstract

In this paper, we propose a phase measurement method for interferograms with nonuniform phase shifts. First, we measure the phase shifts between consecutive interferograms. Second, we use these values to modify the spectrum of the interferogram data. Then, by analyzing this spectrum, we design a suitable phase-shifting algorithm (PSA) using the frequency transfer function formalism. Finally, we test our PSA with experimental data to estimate the surface of an aluminum thin film. Our result is better than those obtained using the Fourier transform method, the principal component analysis method, and the least-squares PSA.

© 2019 Optical Society of America

Design of nonlinearly spaced phase-shifting algorithms using their frequency transfer function

Manuel Servin, Moises Padilla, Guillermo Garnica, and Gonzalo Paez
Appl. Opt. 58(4) 1134-1138 (2019)

Tukey’s robust M-estimator for phase demodulation of interferograms with nonuniform shifts

Sotero Ordones, Manuel Servin, Moises Padilla, Ivan Choque, Antonio Muñoz, and Jorge L. Flores
Appl. Opt. 59(20) 6224-6230 (2020)

Fourier spectra for nonuniform phase-shifting algorithms based on principal component analysis

Manuel Servin, Moises Padilla, Guillermo Garnica, and Gonzalo Paez
Opt. Express 27(18) 25861-25871 (2019)

Synthesis of multi-wavelength temporal phase-shifting algorithms optimized for high signal-to-noise ratio and high detuning robustness using the frequency transfer function

Manuel Servin, Moises Padilla, and Guillermo Garnica
Opt. Express 24(9) 9766-9780 (2016)

Suppressing ripple distortions and spurious pistons in phase-shifting interferometry

Ivan Choque, Moises Padilla, Manuel Servin, Miguel Asmad, and Sotero Ordones
J. Opt. Soc. Am. A 37(4) 614-620 (2020)