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A uniqueness theorem for the Helmholtz' equation: Penetrable media with an infinite interface

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Author

Summary, in English

In this paper we will prove the uniqueness of a solution to Helmholtz' equation for two halfspaces of different media in $n$ dimensions. The theorem allows a finite number of bounded inhomogeneities in each half space. The surface separating the half spaces is assumed to be a cone of arbitrary cross section far away from the origin and is furthermore assumed to be smooth. We assume all space to be lossless, and in each halfspace we assume a radiation condition to be fulfilled. The boundary conditions at the interface are a general coupling in the field and its normal derivative with constant coefficients.

Publishing year

1980

Language

English

Pages

1104-1117

Publication/Series

SIAM Journal on Mathematical Analysis

Volume

11

Issue

6

Document type

Journal article

Publisher

Society for Industrial and Applied Mathematics

Topic

  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

ISBN/ISSN/Other

  • ISSN: 0036-1410