Abstract

In a previous paper, we derived expressions for the irradiance distribution of a finite beam. Here we derive expressions for the full coherence function. We find an asymptotic analytic expression for the coherence function for very large propagation distances. In this region, the on-axis angular spectrum of the finite beam is one fourth that of an initial plane wave and three fourths that of an initial spherical wave. When the scattering dominates diffraction, we find overlapping asymptotic representations for the coherence function for all distances. We present some explicit results for an initially coherent gaussian wave.

© 1971 Optical Society of America

Asymptotic theory of irradiance fluctuations in a beam propagating in a random medium

Alan M. Whitman and Mark J. Beran
J. Opt. Soc. Am. 65(7) 765-768 (1975)

Propagation of the Nth-Order Coherence Function in a Random Medium, II. General Solutions and Asymptotic Behavior

John E. Molyneux
J. Opt. Soc. Am. 61(3) 369-377 (1971)

Second Moment of a Wave Propagating in a Random Medium*

Wilbur P. Brown
J. Opt. Soc. Am. 61(8) 1051-1059 (1971)

Propagation of a Finite Beam in a Random Medium*

Mark Beran
J. Opt. Soc. Am. 60(4) 518-521 (1970)

Beam Spread of Laser Light Propagating in a Random Medium*

Alan M. Whitman and Mark J. Beran
J. Opt. Soc. Am. 60(12) 1595-1602 (1970)