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Dispersion relation for electromagnetic waves in anisotropic media
Authors:Yakov Itin
Institution:a Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel
b Jerusalem College of Technology, Jerusalem, Israel
Abstract:Electromagnetic wave propagation in anisotropic dielectric media with two generic matrices εij and μij of permittivity and permeability is studied. In the framework of a metric-free electrodynamics approach, a compact tensorial dispersion relation is derived. The derivation does not require the corresponding matrices to be symmetric, positive definite, nor even invertible. The resulting formula is useful for a theoretical and experimental study of electromagnetic wave propagation in a wide class of linear media.
Keywords:Electrodynamics  Relativity  Constitutive law  Anisotropic media
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