Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Dispersion relations, stored energy and group velocity for anisotropic electromagnetic media

Author: H. Kurss
Journal: Quart. Appl. Math. 26 (1968), 373-387
DOI: https://doi.org/10.1090/qam/99846
MathSciNet review: QAM99846
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Abstract | References | Additional Information

Abstract: The Hermitian and skew-Hermitian components of the susceptibility matrix of a general linear electromagnetic medium are represented as Hilbert transforms of each other. These so-called dispersion relations lead to a priori inequalities which must be satisfied by the susceptibility of a passive medium in a frequency interval in which the medium is lossless. One such inequality states that the stored energy density for a given $ E\left( \omega \right)$ and $ H\left( \omega \right)$ is always greater than in free space. This is also verified directly from the usual gyrotropic susceptibilities of ferrites and plasmas.

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Additional Information

DOI: https://doi.org/10.1090/qam/99846
Article copyright: © Copyright 1968 American Mathematical Society

American Mathematical Society