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Article Dans Une Revue Mathematical Methods in the Applied Sciences Année : 2007

Use of specific Green's functions for solving direct problems involving a heterogeneous rigid frame porous medium slab solicited by acoustic waves

Résumé

A domain integral method employing a specific Green's function (i.e., incorporating some features of the global problem of wave propagation in an inhomogeneous medium) is developed for solving direct and inverse scattering problems relative to slab-like macroscopically inhomogeneous porous obstacles. It is shown how to numerically solve such problems, involving both spatially-varying density and compressibility, by means of an iterative scheme initialized with a Born approximation. A numerical solution is obtained for a canonical problem involving a two-layer slab.
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Dates et versions

hal-00087427 , version 1 (24-07-2006)

Identifiants

Citer

Jean-Philippe Groby, Laurent de Ryck, Philippe Leclaire, Armand Wirgin, Walter Lauriks, et al.. Use of specific Green's functions for solving direct problems involving a heterogeneous rigid frame porous medium slab solicited by acoustic waves. Mathematical Methods in the Applied Sciences, 2007, 30 (1), pp.91-122. ⟨10.1002/mma.781⟩. ⟨hal-00087427⟩
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