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Stable methods for solving the inverse scattering problem for a cylinder

Published online by Cambridge University Press:  14 November 2011

David Colton  and
Andreas Kirsch
David Colton
Affiliation:
Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19711, U.S.A.
Andreas Kirsch
Affiliation:
Lehrstühle für Numerische und Angewandte Mathematik, Universität Göttingen, Göttingen, West Germany
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Synopsis

It is shown that the inverse scattering problem for an infinite cylinder can be stabilized by assuming a priori that the unknown boundary of the cylindrical cross section lies in a compact family of continuously differentiable simple closed curves. A constructive method for determining the shape of this boundary is given under the assumption that an initial approximation is known and that the scattering cross section is known forn distinct incoming plane waves in the resonant region.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 89 , Issue 3-4 , 1981 , pp. 181 - 188
Copyright
Copyright © Royal Society of Edinburgh 1981

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