Three-point joint density functions for the intensities of partially and fully developed monochromatic laser speckle patterns

Abstract

A three-point joint density function for the intensity of a partially developed laser speckle pattern is derived as an infinite summation of products of modified Bessel functions of the first kind. From this summation, a simpler expression for the corresponding density function of a fully developed Gaussian speckle is derived. The results will be useful in obtaining the conditional density functions of intensity for generai optical scattering problems and for estimating the probability of error in the signal-to-noise ratio calculations in optical Systems such as optical radar.

© 1991 Optical Society of America

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