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arXiv · 0908.0922

Dispersion relation for anisotropic media

Yakov Itin
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Abstract

The electromagnetic wave propagation in an anisotropic dielectric media with two generic matrices $\epsilon^{ij}$ and $\mu^{ij}$ of permittivity and permeability is studied. These matrices are not required to be symmetric, positive definite, and even invertible. In the framework of a metric-free electrodynamics approach, compact tensorial dispersion relation is derived. The resulted formula are useful for a theoretical study of electromagnetic wave propagation in a classical media and in a modern type of media with a generic linear constitutive relation including metamaterials.

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Yakov Itin. 2009-08-06. Dispersion relation for anisotropic media. https://doi.org/10.1016/j.physleta.2009.12.071

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