Physics – Computational Physics
Scientific paper
2006-07-24
Mathematical Methods in the Applied Sciences 30, 1 (2007) 91-122
Physics
Computational Physics
submitted to Math.Meth.Appl.Sci
Scientific paper
10.1002/mma.781
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.
Gilbert Robert P.
Groby Jean-Philippe
Lauriks Walter
Leclaire Philippe
Ryck Laurent de
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