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Optical Engineering

New equations for phase evaluation in measurements with an arbitrary but constant phase shift between captured intensity signs
Author(s): Pedro A. Magalhaes; Perrin Smith Neto; Cristina Almeida Magalhaes; Clovis Sperb de Barcellos
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Paper Abstract

We offer new equations for phase evaluation in measurements. Several phase-shifting equations with an arbitrary but constant phase shift between captured intensity signs are proposed. We show a mathematical model that seeks new equations by minimizing the uncertainty in measurements. The equations are similarly derived as the so-called Carré equation. The idea is to develop a generalization of the Carré equation that is not restricted to four images. Errors and random noise in the images cannot be eliminated, but the uncertainty due to their effects can be reduced by increasing the number of observations. An experimental analysis of the mistakes of the technique was made, as well as a detailed analysis of mistakes of the measurement. The advantages of the proposed equation are its precision in the measures taken, speed of processing, and the immunity to noise in signs and images.

Paper Details

Date Published: 1 November 2009
PDF: 19 pages
Opt. Eng. 48(11) 113602 doi: 10.1117/1.3265438
Published in: Optical Engineering Volume 48, Issue 11
Show Author Affiliations
Pedro A. Magalhaes, Pontificia Univ. Católica de Minas Gerais (Brazil)
Perrin Smith Neto, Pontificia Univ. Católica de Minas Gerais (Brazil)
Cristina Almeida Magalhaes, Pontificia Univ. Católica de Minas Gerais (Brazil)
Clovis Sperb de Barcellos, Univ. Federal de Santa Catarina (Brazil)


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