Abstract

A four-point joint density function for the intensities of a fully developed speckle pattern is derived as an infinite summation of products of modified Bessel functions of the first kind. It is found that the special cases of this density function will agree with all the previously known results. With interest growing rapidly in the higher-order correlations of signals, this result will be useful in general optical scattering problems.

© 1992 Optical Society of America

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

V. S. Rao Gudimetla
J. Opt. Soc. Am. A 8(12) 1943-1946 (1991)

Two-point joint probability-density function for the intensities of the sum of partially developed speckle patterns

V. S. Rao Gudimetla
J. Opt. Soc. Am. A 9(7) 1119-1123 (1992)

Joint probability density function of partially developed speckle patterns

Junji Ohtsubo
Appl. Opt. 27(7) 1290-1292 (1988)

Two-point joint-density function of the intensity for a laser-generated speckle field after propagation through the turbulent atmosphere

V. S. Rao Gudimetla, J. Fred Holmes, and Richard A. Elliott
J. Opt. Soc. Am. A 7(6) 1008-1014 (1990)

Statistical properties of differentiated partially developed speckle patterns

Junji Ohtsubo
J. Opt. Soc. Am. 72(9) 1249-1252 (1982)