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Article Dans Une Revue Communications in Mathematical Sciences Année : 2018

Wave Propagation in Random Waveguides with Long-Range Correlations

Christophe Gomez
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  • PersonId : 963914
Knut Sølna
  • Fonction : Auteur
  • PersonId : 965043

Résumé

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.
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Dates et versions

hal-01132350 , version 1 (17-03-2015)
hal-01132350 , version 2 (27-03-2015)
hal-01132350 , version 3 (09-05-2015)

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Citer

Christophe Gomez, Knut Sølna. Wave Propagation in Random Waveguides with Long-Range Correlations. Communications in Mathematical Sciences, 2018, 16 (6), pp.1557-1596. ⟨10.4310/CMS.2018.v16.n6.a4⟩. ⟨hal-01132350v3⟩
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