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A stable method for an inverse problem in acoustic scattering by an obstacle with an impedance boundary condition

Published online by Cambridge University Press:  14 November 2011

Robert T. Smith
Robert T. Smith
Affiliation:
Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia24061, U.S.A.
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Synopsis

We examine the case of plane, time-harmonic acoustic waves in two dimensions, scattered by an obstacle on the surface of which an impedance boundary condition is imposed. A stable method is developed for solving the inverse problem ofdetermining both the shape of the scatterer and the surface impedance from measurements of the asymptotic behaviour of the scattered waves at low frequencies. We accomplish this by minimizing an appropriate functional over a compact set of admissible boundary curves and admissible impedances.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 98 , Issue 3-4 , 1984 , pp. 355 - 364
Copyright
Copyright © Royal Society of Edinburgh 1984

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