Inverse scattering from an orthotropic medium
type: Item
instance of: scholarly article
title: Inverse scattering from an orthotropic medium
zbMATH Open document ID: 0885.35143
DOI: 10.1016/S0377-0427(97)00065-4
author: David Colton
author: Rainer Kress
author: Peter Monk
published in: Journal of Computational and Applied Mathematics
publication date: 1998-04-23T00:00:00Z
review text: The authors consider the scattering of time harmonic electromagnetic waves by a two-dimensional orthotropic medium with constant dielectric. In the first part, they study the direct problem by boundary integral equation methods. The fundamental solution and the single- and double-layer potentials are constructed via transformation to the classical Helmholtz equation. The second part is devoted to the inverse scattering problem. This is the problem to determine the refractive index from measurements of the far field pattern. A uniqueness result is proven and a numerical method for the reconstruction of the index of refraction is proposed. Some numerical results demonstrate advantages and disadvantages of the method.
reviewed by: Andreas Kirsch
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35P25
zbMATH DE Number: 1043288
zbMATH Keywords: Maxwell equations
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: scattering theory
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1043288