Wave propagation in random waveguides with long-range correlations

Abstract

In this paper we consider an acoustic waveguide with random fluctuations of its sound speed profile. These random perturbations are assumed to have long-range correlation properties. In waveguides a monochromatic wave can be decomposed in propagating modes and evanescent modes, and the random perturbation couples all these modes. Using asymptotic analysis of the modecoupling mechanism we give a description of the effects that the random fluctuations with long-rang statistical properties have on the pulse propagation.