Abstract

The joint probability density function (PDF) for a partially developed speckle pattern is studied. On the assumption of the circular statistics of partially developed speckle patterns, the theoretical form of the joint PDF has been derived. It is shown that the joint PDF can be given by an infinite series of the products of modified Bessel functions of the first kind.

© 1988 Optical Society of America

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)

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)

Statistical properties of differentiated partially developed speckle patterns

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

Four-point joint density function for the intensities of a fully developed monochromatic laser speckle pattern

V. S. Rao Gudimetla
J. Opt. Soc. Am. A 9(12) 2252-2256 (1992)

Statistical properties of the sum of partially developed speckle patterns

J. Ohtsubo and T. Asakura
Opt. Lett. 1(3) 98-100 (1977)