A linearized inverse boundary value problem for Maxwell's equations
type: Item
instance of: scholarly article
title: A linearized inverse boundary value problem for Maxwell's equations
zbMATH Open document ID: 0757.65128
DOI: 10.1016/0377-0427(92)90167-V
author: Erkki Somersalo
author: David Isaacson
author: Margaret Cheney
published in: Journal of Computational and Applied Mathematics
publication date: 1992-10-26T00:00:00Z
review text: The paper considers the problem of determining the electromagnetic state of a body from measurements made on the surface of the body. The authors study the full set of Maxwell's equations contrarily to other authors such as \textit{A. P. Calderón} [On an inverse boundary value problem. Sem. Numer. Analysis Appl. Continuum Physics, 65-73 (1980)]. In this case the inverse problem involves three unknown parameters: the magnetic permeability \(\mu\), the electric permettivity \(\varepsilon\) and the electric conductivity \(\sigma\) in the interior of the body. Estimations of the reconstruction errors are given. The method is similar to the distorted plane wave approximation given by Caldéron using an approximate linearization scheme.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 35Q60
zbMATH DE Number: 69589
zbMATH Keywords: impedance imaging
zbMATH Keywords: distorted plane waves
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: reconstruction
reviewed by: Yves Cherruault
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 69589