%0 Journal Article
%T Wave Propagation in Random Waveguides with Long-Range Correlations
%+ Institut de Mathématiques de Marseille (I2M)
%+ Department of Mathematics [Irvine]
%A Gomez, Christophe
%A Sølna, Knut
%Z AFOSR grant FA9550-14-1-0197
%Z NSF 1616954
%< avec comité de lecture
%@ 1539-6746
%J Communications in Mathematical Sciences
%I International Press
%V 16
%N 6
%P 1557-1596
%8 2018
%D 2018
%R 10.4310/CMS.2018.v16.n6.a4
%K asymptotic analysis
%K long-range correlations
%K random media
%K Acoustic waveguides
%Z Mathematics [math]Journal articles
%X The paper presents an analysis of acoustic wave propagation in a waveguide with random fluctuations of its sound speed profile. These random perturbations are assumed to have long-range correlation properties. In the waveguide, a monochromatic wave can be decomposed in propagating modes and evanescent modes, and the random perturbation couples all these modes. The paper presents an asymptotic analysis of the mode-coupling mechanism and uses this to characterize the transmitted wave. The paper presents the first fully rigorous characterization of wave propagation in long-range non-layered media.
%G English
%2 https://hal.science/hal-01132350v3/document
%2 https://hal.science/hal-01132350v3/file/waveguide_gomez_solna3.pdf
%L hal-01132350
%U https://hal.science/hal-01132350
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ I2M
%~ I2M-2014-
%~ AMIDEX
%~ ANR