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

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Abstract

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.

© 2016 Optical Society of America

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Corrections

Gastón A. Ayubi, César D. Perciante, J. Matías Di Martino, Jorge L. Flores, and José A. Ferrari, "Generalized phase-shifting algorithms: error analysis and minimization of noise propagation: erratum," Appl. Opt. 55, 7763-7763 (2016)
https://opg.optica.org/ao/abstract.cfm?uri=ao-55-28-7763

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Generation of phase-shifting algorithms with N arbitrarily spaced phase-steps

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Appl. Opt. 53(30) 7168-7176 (2014)

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

Gastón A. Ayubi, César D. Perciante, J. Matías Di Martino, Jorge L. Flores, and José A. Ferrari
Appl. Opt. 55(28) 7763-7763 (2016)

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