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

Jean-Philippe Groby·Laurent De Ryck·Philippe Leclaire·Armand Wirgin·Walter Lauriks·Robert P. Gilbert·Yongzhi Steve Xu
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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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Jean-Philippe Groby, Laurent De Ryck, Philippe Leclaire, Armand Wirgin, Walter Lauriks, Robert P. Gilbert, Yongzhi Steve Xu. 2006-07-24. Use of specific Green's functions for solving direct problems involving a heterogeneous rigid frame porous medium slab solicited by acoustic waves. https://doi.org/10.1002/mma.781

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