Abstract

The zero-crossing rate of differentiated speckle whose intensity is governed by a negative exponential probability-density function (i.e., fully developed speckle) is evaluated in closed form with the use of an exact expression for the joint probability-density function of the intensity and its first two derivatives. The conditional zero-crossing rate of differentiated speckle, given that the intensity is specified, is also obtained in closed form.

© 1994 Optical Society of America

Statistics of spatially integrated speckle intensity difference

Steen G. Hanson and Harold T. Yura
J. Opt. Soc. Am. A 26(2) 371-375 (2009)

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)

Level-crossing statistics of aperture-integrated isotropic speckle

Richard Barakat
J. Opt. Soc. Am. A 5(8) 1244-1247 (1988)

Mean level signal crossing rate for an arbitrary stochastic process

Harold T. Yura and Steen G. Hanson
J. Opt. Soc. Am. A 27(4) 797-807 (2010)

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)