dorsal/arxiv
View SchemaUse of specific Green's functions for solving direct problems involving a heterogeneous rigid frame porous medium slab solicited by acoustic waves
| Authors | Jean-Philippe Groby, Laurent De Ryck, Philippe Leclaire, Armand Wirgin, Walter Lauriks, Robert P. Gilbert, Yongzhi Steve Xu |
|---|---|
| Categories | |
| ArXiv ID | physics/0607212 |
| URL | https://arxiv.org/abs/physics/0607212 |
| DOI | 10.1002/mma.781 |
| Journal | Mathematical Methods in the Applied Sciences 30, 1 (2007) 91-122 |
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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"abstract": "A domain integral method employing a specific Green\u0027s function (i.e.,\nincorporating some features of the global problem of wave propagation in an\ninhomogeneous medium) is developed for solving direct and inverse scattering\nproblems relative to slab-like macroscopically inhomogeneous porous obstacles.\nIt is shown how to numerically solve such problems, involving both\nspatially-varying density and compressibility, by means of an iterative scheme\ninitialized with a Born approximation. A numerical solution is obtained for a\ncanonical problem involving a two-layer slab.",
"arxiv_id": "physics/0607212",
"authors": [
"Jean-Philippe Groby",
"Laurent De Ryck",
"Philippe Leclaire",
"Armand Wirgin",
"Walter Lauriks",
"Robert P. Gilbert",
"Yongzhi Steve Xu"
],
"categories": [
"physics.comp-ph"
],
"doi": "10.1002/mma.781",
"journal_ref": "Mathematical Methods in the Applied Sciences 30, 1 (2007) 91-122",
"title": "Use of specific Green\u0027s functions for solving direct problems involving a heterogeneous rigid frame porous medium slab solicited by acoustic waves",
"url": "https://arxiv.org/abs/physics/0607212"
},
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