Wave propagation in linear electrodynamics

May, 2000
13 pages
Published in:
  • Phys.Rev.D 62 (2000) 044050
e-Print:

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Abstract: (arXiv)
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.