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

Abstract : 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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Mathematical Methods in the Applied Sciences, Wiley, 2007, 30 (1), pp.91-122. 〈10.1002/mma.781〉
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Soumis le : lundi 24 juillet 2006 - 14:44:40
Dernière modification le : mardi 3 juillet 2018 - 13:00:03
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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, Wiley, 2007, 30 (1), pp.91-122. 〈10.1002/mma.781〉. 〈hal-00087427〉

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