Abstract

In this paper an approximate solution is given for the development of the ensemble-averaged mutual-coherence function {Γ(x₁,x₂,τ)} as it propagates through statistically homogeneous and isotropic random media. Only small-angle scattering about the principal propagation direction z is considered and it is assumed that {Γ(x₁,x₂,τ)} is a function of [(x₁ − x₂)² + (y₁ − y₂)²]^1/2, z₁ − z₂, and z₁. Under these conditions, it is possible to solve the governing equations using an iteration procedure. The solution is valid for long path lengths. The results are compared to the results given in Chernov, and Tatarski under those conditions where it is appropriate to do so.

© 1966 Optical Society of America

Propagation of the Fourth-Order Coherence Function in a Random Medium*

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J. Opt. Soc. Am. 58(10) 1335-1341 (1968)

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