Generalized phase-shifting algorithms: error analysis and minimization of noise propagation

Phase shifting is a technique for phase retrieval that requires a series of intensity measurements with certain phase steps. The purpose of the present work is threefold: first we present a new method for generating general phase-shifting algorithms with arbitrarily spaced phase steps. Second, we st...

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Published inApplied optics. Optical technology and biomedical optics Vol. 55; no. 6; p. 1461
Main Authors Ayubi, Gastón A, Perciante, César D, Di Martino, J Matías, Flores, Jorge L, Ferrari, José A
Format Journal Article
LanguageEnglish
Published United States 20.02.2016
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Summary:Phase shifting is a technique for phase retrieval that requires a series of intensity measurements with certain phase steps. The purpose of the present work is threefold: first we present a new method for generating general phase-shifting algorithms with arbitrarily spaced phase steps. Second, we study the conditions for which the phase-retrieval error due to phase-shift miscalibration can be minimized. Third, we study the phase extraction from interferograms with additive random noise, and deduce the conditions to be satisfied for minimizing the phase-retrieval error. Algorithms with unevenly spaced phase steps are discussed under linear phase-shift errors and additive Gaussian noise, and simulations are presented.
ISSN:2155-3165
DOI:10.1364/AO.55.001461