Abstract

A novel generalized approach to phase-shifting interferometry in which phase distribution in an interferogram is evaluated in the presence of nonsinusoidal waveforms and piezoactuator device miscalibration is proposed. The approach is based on the underlying rotational invariance of signal subspaces spanned by two temporally displaced data sets. The advantage of the proposed method lies in its ability to identify arbitrary phase-step values pixelwise from an interference signal buried in noise. The robustness of the proposed method is investigated by addition of white Gaussian noise during the simulations.

© 2005 Optical Society of America

Rotational invariance approach for the evaluation of multiple phases in interferometry in the presence of nonsinusoidal waveforms and noise

Abhijit Patil and Pramod Rastogi
J. Opt. Soc. Am. A 22(9) 1918-1928 (2005)

Estimation of multiple phases in holographic moiré in presence of harmonics and noise using minimum-norm algorithm

Abhijit Patil and Pramod Rastogi
Opt. Express 13(11) 4070-4084 (2005)

Subspace-based method for phase retrieval in interferometry

Abhijit Patil and Pramod Rastogi
Opt. Express 13(4) 1240-1248 (2005)

High-resolution frequency estimation technique for recovering phase distribution in interferometers

Abhijit Patil, Pramod Rastogi, and Rajesh Langoju
Opt. Lett. 30(4) 391-393 (2005)

Predicting phase steps in phase-shifting interferometry in the presence of noise and harmonics

Rajesh Langoju, Abhijit Patil, and Pramod Rastogi
Appl. Opt. 45(24) 6106-6112 (2006)