2006/07/24 by Jean‐Philippe Groby, Jean-Philippe Groby, Laurent De Ryck +7 · 14 citations
Engineering · Mathematics · Physics and Astronomy · #Acoustic Wave Phenomena Research #Compressibility #Computer science #Domain (mathematical analysis) #Electromagnetic Scattering and Analysis #Frame (networking) #Integral equation #Inverse problem #Inverse scattering problem #Materials science #Mathematical analysis #Mathematics #Mechanics #Microwave Imaging and Scattering Analysis #Optics #Physics #Porosity #Porous medium #Scattering #Slab #physics.comp-ph
paper · pdf · doi:10.1002/mma.781
published in Mathematical Methods in the Applied Sciences 30(1), 91-122 (Wiley) · submitted to Math.Meth.Appl.Sci
arxiv created 2006/07/24 · openalex publication_date 2006/10/09 · arxiv updated 2010/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.