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The electromagnetic inverse-scattering problem for partly coated Lipschitz domains

Published online by Cambridge University Press:  12 July 2007

Fioralba Cakoni
Affiliation:
Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USAcakoni@math.udel.edu
David Colton
Affiliation:
Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USAcolton@math.udel.edu
Peter Monk
Affiliation:
Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USAmonk@math.udel.edu
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Abstract

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We consider the inverse-scattering problem of determining the shape of a partly coated obstacle in R3 from a knowledge of the incident time-harmonic electromagnetic plane wave and the electric far-field pattern of the scattered wave. A justification is given of the linear sampling method in this case and numerical examples are provided showing the practicality of our method.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2004