Regular paper

[OPTICAL REVIEW Vol. 16, No. 4 (2009) 432-441]
© 2009 The Optical Society of Japan

Phase Shifting Technique Using Generalization of Carre Algorithm with Many Images

Pedro Americo Almeida MAGALHAES, Jr.^*, Perrin Smith NETO, and Clovis Sperb DE BARCELLOS¹

Pontificia Universidade Catolica de Minas Gerais, Av. Dom Jose Gaspar 500, CEP 30535-610, Belo Horizonte, Minas Gerai, Brazil
¹Universidade Federal de Santa Catarina, Florianopolis, Campus Universitàrio Reitor João David Ferreira Lima, Trindade, CEP 88.040-900, Florianópolis, Santa Catarina, Brazil

(Received January 25, 2009; Revised April 24, 2009; Accepted April 24, 2009)

The present work offers new algorithms for phase evaluation in optics measurements. Several phase-shifting algorithms with an arbitrary but constant phase-shift between captured intensity frames are proposed. The algorithms are derived similarly to the so called Carre algorithm. The idea is to develop a generalization of Carre that is not restricted to four images. Errors and random noise in the images cannot be eliminated, but the uncertainty due to its effects can be reduced by increasing the number of observations. The advantages of the proposed algorithm are its precision in the measures taken and immunity to noise in images.

Key words: phase shifting technique, carre algorithm, phase calculation algorithms, measurement

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