Abstract

In the fringe-scanning methods such as the three- and four-bucket methods, the phase of a reference wave is generally changed at equal intervals from 0 to 2π. In practice, however, it is difficult or almost impossible for some interferometers, such as the dynamic zone plate interferometer, to realize an equal phase shift and to make a full scanning of 2π, which are necessary for discrete Fourier transform analysis. We show that even in such a case, phases in an interferogram can be obtained by using a Fourier analysis in a continuous space, and we analyze the accuracy of the phase determination in case of additive noise.

© 1988 Optical Society of America

Accuracy of phase shifting interferometry

K. Kinnstaetter, Adolf W. Lohmann, Johannes Schwider, and Norbert Streibl
Appl. Opt. 27(24) 5082-5089 (1988)

Phase detection of equidistant fringes for highly sensitive optical sensing. I. Principle and error analyses

Suezou Nakadate
J. Opt. Soc. Am. A 5(8) 1258-1264 (1988)

Fresnel-field analysis of double-grating systems and their application in phase-stepping grating interferometers

Małgorzata Kujawinska
J. Opt. Soc. Am. A 5(6) 849-857 (1988)

Fringe-shifting technique for numerical analysis of time-average holograms of vibrating objects

Karl A. Stetson and William R. Brohinsky
J. Opt. Soc. Am. A 5(9) 1472-1476 (1988)

Continuous phase-shifting holography

Sergey G. Kalenkov, Georgy S. Kalenkov, and Alexander E. Shtanko
J. Opt. Soc. Am. A 37(1) 39-44 (2020)