Wave Propagation in Random Waveguides with Long-Range Correlations

Christophe Gomez (1) , Knut Sølna (2)

1 I2M - Institut de Mathématiques de Marseille
2 Department of Mathematics [Irvine]

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 mode-coupling mechanism we give a description of the effects that the random fluctuations with long-rang statistical properties have on the pulse propagation.

Mots clés: asymptotic analysis; long-range correlations; random media; Acoustic waveguides

Domaines: Mathématiques [math]

Christophe Gomez, Knut Sølna. Wave Propagation in Random Waveguides with Long-Range Correlations. 2015. ⟨hal-01132350v2⟩