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Time harmonic electromagnetic waves in an inhomogeneous medium

Published online by Cambridge University Press:  14 November 2011

David Colton  and
Rainer Kress
David Colton
Affiliation:
Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716, U.S.A.
Rainer Kress
Affiliation:
Institut für Numerische und Angewandte Mathematik, Universität Gottingen, Göttingen, West Germany
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Synopsis

We consider the scattering of time harmonic electromagnetic waves by an inhomogeneous medium of compact support, i.e. the permittivity ε = ε(x) and the conductivity σ = σ(x) are functions of x ∊ ℝ3. Existence, uniqueness and regularity results are established for the direct scattering problem. Then, based on existence and uniqueness results for the exterior and interior impedance boundary value problem, a method is presented for solving the inverse scattering problem.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 116 , Issue 3-4 , 1990 , pp. 279 - 293
Copyright
Copyright © Royal Society of Edinburgh 1990

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