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The Maxwell field, its adjoint field and the ‘conjugate’field in anisotropic absorbing media

Published online by Cambridge University Press:  13 March 2009

Kurt Suchy
Affiliation:
Institute for Theoretical Physics, University of Düsseldorf, D4 Düsseldorf 1, Universitätsstrasse 15, West Germany
Colman Altman
Affiliation:
Department of Physics, Technion (Israel Institute of Technology), Haifa, Israel

Extract

In absorbing media, where Maxwell's equations are not seif-adjoint, the adjoint field is introduced via the differential operator adjoint to the Maxwell operator. The concomitant vector can be made equal to the time averaged Poynting vector at a boundary with a non-absorbing medium. In general, the adjoint field represents an electromagnetic field in a medium other than the absorbing medium under consideration. To draw conclusions about the latter, a [conjugate field] in this medium is defined, using a conjugating transformation of the Maxwell operator and field. Relations between the conjugate and adjoint fields are established, allowing one to gather physical information about the first absorbing medium from the adjoint field.

Type
Articles
Copyright
Copyright © Cambridge University Press 1975

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References

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