Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

The electromagnetic inverse-scattering problem for partly coated Lipschitz domains

Fioralba Cakonia1, David Coltona2 and Peter Monka3

a1 Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA cakoni@math.udel.edu

a2 Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA colton@math.udel.edu

a3 Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA monk@math.udel.edu

Abstract

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.

(Received January 27 2003)

(Accepted February 16 2004)