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A UNIQUENESS THEOREM FOR AN INVERSE ELECTROMAGNETIC SCATTERING PROBLEM IN INHOMOGENEOUS ANISOTROPIC MEDIA

Published online by Cambridge University Press:  04 July 2003

Fioralba Cakoni  and
David Colton
Fioralba Cakoni
Affiliation:
Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA (cakoni@math.udel.edu; colton@math.udel.edu)
David Colton
Affiliation:
Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA (cakoni@math.udel.edu; colton@math.udel.edu)
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Abstract

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We show that the support of a (possibly) coated anisotropic medium is uniquely determined by the electric far-field patterns corresponding to incident time-harmonic electromagnetic plane waves with arbitrary polarization and direction. Our proof avoids the use of a fundamental solution to Maxwell’s equations in an anisotropic medium and instead relies on the well-posedness and regularity properties of solutions to an interior transmission problem for Maxwell’s equations.

AMS 2000 Mathematics subject classification: Primary 35R30; 35Q60. Secondary 35P25; 78A45

Keywords

anisotropic mediaelectromagnetic scatteringconductive boundary conditioninverse scatteringmixed boundary conditionstransmission problem
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 46 , Issue 2 , June 2003 , pp. 293 - 314
Copyright
Copyright © Edinburgh Mathematical Society 2003