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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
Author(s) -
Groby J.P.,
De Ryck L.,
Leclaire P.,
Wirgin A.,
Lauriks W.,
Gilbert R. P.,
Xu Y. S.
Publication year - 2006
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.781
Subject(s) - slab , mathematics , compressibility , porous medium , mathematical analysis , inverse scattering problem , inverse problem , domain (mathematical analysis) , scattering , frame (networking) , integral equation , porosity , mechanics , physics , optics , materials science , computer science , telecommunications , geophysics , composite material
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. Copyright © 2006 John Wiley & Sons, Ltd.