A two-way paraxial system for simulation of wave backscattering by a random medium

Authors:
Josselin Garnier;Knut Sølna
Affiliations:
Laboratoire de Probabilités et Modèles Aléatoires and Laboratoire Jacques-Louis Lions, Université Paris VII, 2 Place Jussieu, 75251 Paris Cedex 05, France;Department of Mathematics, University of California, Irvine, CA 92697, United States
Venue:
Journal of Computational Physics
Year:
2009

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Abstract

This paper presents a probabilistic analysis of an iterative two-way paraxial scheme for the simulation of wave propagation in anisotropic random media. This scheme has the computational cost of the standard one-way paraxial wave equation but has the accuracy of the full wave equation in a regime beyond the classical paraxial regime. More precisely, it accurately predicts the statistics of the reflected wave field. The accuracy depends on two parameters: the order of the iterative scheme and the ratio of the random backscattering intensity over the random forward-scattering intensity.