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Wave propagation in linear electrodynamics

Yuri N. Obukhov·Tetsuo Fukui·Guillermo Rubilar
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Abstract

The Fresnel equation governing the propagation of electromagnetic waves for the most general linear constitutive law is derived. The wave normals are found to lie, in general, on a fourth order surface. When the constitutive coefficients satisfy the so-called reciprocity or closure relation, one can define a duality operator on the space of the two-forms. We prove that the closure relation is a sufficient condition for the reduction of the fourth order surface to the familiar second order light cone structure. We finally study whether this condition is also necessary.

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Yuri N. Obukhov, Tetsuo Fukui, Guillermo Rubilar. 2000-05-05. Wave propagation in linear electrodynamics. https://doi.org/10.1103/physrevd.62.044050

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