Abstract

The recording and filtering processes of speckle photography are analyzed in detail using statistical optics. We show that the Fourier transforms of the autocorrelation and cross-correlation functions of speckle fields result, respectively, in the diffraction halo function and the Young fringe pattern enveloped by the halo function. A generalized decorrelation factor, defined as the ratio of the Weiner spectra of the cross-correlation and autocorrelation functions, is introduced to explain the degradation of Young’s fringes. It is shown that this factor’s magnitude controls the fringe contrast, whereas its phase may distort the fringe shape. Examples including the effect of lens aberration are presented to show the utility of this decorrelation factor and of that introduced by Yamaguchi [ J. Opt. Soc. Am. A 1, 81 ( 1984)].

© 1986 Optical Society of America

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