Abstract

We propose a theory of propagation and diffraction of the statistical moments of high-frequency fields in the presence of interfaces, boundaries, or general scattering objects embedded within a medium with weak large-scale random fluctuations. The formulation utilizes the deterministic ray paths and initial conditions of the geometrical theory of diffraction when stochastic effects are omitted to construct initial conditions for ray-centered transport equations governing appropriate statistical measures of the field when stochastic effects are included. The basic principles of the problem strategy are discussed and demonstrated on canonical examples.

© 1987 Optical Society of America

Stochastic geometrical diffraction theory in a random medium with inhomogeneous background

R. Mazar and L. B. Felsen
Opt. Lett. 12(5) 301-303 (1987)

Edge diffraction of high-frequency coherence functions in a random medium

R. Mazar and L. B. Felsen
Opt. Lett. 12(1) 4-6 (1987)

High-frequency propagators for diffraction and backscattering in random media

Reuven Mazar
J. Opt. Soc. Am. A 7(1) 34-46 (1990)

Coherence properties of retroreflected radiation in a power-law random medium

R. Mazar and A. Bronshtein
Opt. Lett. 15(14) 766-768 (1990)

Enhancement of backscattered intensity in a random medium

R. Mazar and A. Bronshtein
Opt. Lett. 16(17) 1304-1306 (1991)