Use of specific Green's functions for solving direct problems involving a heterogeneous rigid frame porous medium slab solicited by acoustic waves |
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| Authors: | J‐P Groby L De Ryck P Leclaire A Wirgin W Lauriks R P Gilbert Y S Xu |
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| Institution: | 1. Akoestieke en Thermische Fysica, KULeuven, Celestijnenlaan 200D, 3001 Heverlee, BelgiumAkoestieke en Thermische Fysica, KULeuven, Celestijnenlaan 200D, 3001 Heverlee, Belgium===;2. Akoestieke en Thermische Fysica, KULeuven, Celestijnenlaan 200D, 3001 Heverlee, Belgium;3. Laboratoire de Mécanique et d'Acoustique, UPR7051 du CNRS, 31 chemin Joseph Aiguier, 13402 Marseille cedex 20, France;4. Mathematical Sciences, University of Delaware, Newark, DE 19716, U.S.A.;5. Mathematics Department, University of Louisville, Louisville, KY 40292, U.S.A. |
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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. Copyright © 2006 John Wiley & Sons, Ltd. |
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| Keywords: | Green's function Fredholm equation Born approximation wave equation |
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