Use of specific Green's functions for solving direct problems involving a heterogeneous rigid frame porous medium slab solicited by acoustic waves
Computational Physics
2010-04-27 v1
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.
Cite
@article{arxiv.physics/0607212,
title = {Use of specific Green's functions for solving direct problems involving a heterogeneous rigid frame porous medium slab solicited by acoustic waves},
author = {Jean-Philippe Groby and Laurent De Ryck and Philippe Leclaire and Armand Wirgin and Walter Lauriks and Robert P. Gilbert and Yongzhi Steve Xu},
journal= {arXiv preprint arXiv:physics/0607212},
year = {2010}
}
Comments
submitted to Math.Meth.Appl.Sci