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Far field patterns and inverse scattering problems for imperfectly conducting obstacles

Published online by Cambridge University Press:  24 October 2008

T. S. Angell ,
David Colton  and
Rainer Kress
T. S. Angell
Affiliation:
Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716, U.S.A.
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 Göttingen, Göttingen, West Germany
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Abstract

We first examine the class of far field patterns for the scalar Helmholtz equation in ℝ2 corresponding to incident time harmonic plane waves subject to an impedance boundary condition where the impedance is piecewise constant with respect to the incident direction and continuous with respect to x ε ∂ D where ∂ D is the scattering obstacle. We then examine the class of far field patterns for Maxwell's equations in subject to an impedance boundary condition with constant impedance. The results obtained are used to derive optimization algorithms for solving the inverse scattering problem.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 106 , Issue 3 , November 1989 , pp. 553 - 569
Copyright
Copyright © Cambridge Philosophical Society 1989

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References

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