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Reflexion and transmission theorems for characteristic waves in stratified anisotropic absorbing media

Published online by Cambridge University Press:  13 March 2009

Kurt Suchy  and
Colman Altman
Kurt Suchy
Affiliation:
Institute for Theoretical Physics, University of DüsseldorfD 4 Düsseldorf 1, Universitätsstrasse 1, West Germany
Colman Altman
Affiliation:
Department of Physics, Technion (Israel Institute of Technology), Haifa, Israel
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Abstract

The solutions of Maxwell's equations and of their adjoint equations, being essentially different in absorbing media, are written in terms of matrizants. A relation between these is established, utilizing the constancy of the bi-linear concomitant. With this, and with the concept of the conjugate field, introduced in Suchy & Altmann (1975), a theorem, connecting the transfer matrices of the field and the conjugate field, is derived. This, in turn, leads to a corresponding theorem connecting the scattering matrices, which are composed of the refiexion and transmission matrices.

Type
Research Article
Information
Journal of Plasma Physics , Volume 13 , Issue 3 , June 1975 , pp. 437 - 449
Copyright
Copyright © Cambridge University Press 1975

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