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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Karp's theorem in electromagnetic scattering theory


Authors: David Colton and Rainer Kress
Journal: Proc. Amer. Math. Soc. 104 (1988), 764-769
MSC: Primary 78A45
DOI: https://doi.org/10.1090/S0002-9939-1988-0964854-7
MathSciNet review: 964854
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Abstract: Karp's Theorem for acoustic waves states that if the far field pattern of the scattered wave corresponding to a plane wave incident upon an obstacle is only a function of the scalar product of the directions of incidence and observation then the obstacle is a ball. In this paper we shall give the analogue of Karp's Theorem for the scattering of electromagnetic waves by a perfect conductor.


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DOI: https://doi.org/10.1090/S0002-9939-1988-0964854-7
Article copyright: © Copyright 1988 American Mathematical Society