English

Dispersion relation for anisotropic media

Classical Physics 2013-03-08 v1 Materials Science

Abstract

The electromagnetic wave propagation in an anisotropic dielectric media with two generic matrices ϵij\epsilon^{ij} and μij\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.

Keywords

Cite

@article{arxiv.0908.0922,
  title  = {Dispersion relation for anisotropic media},
  author = {Yakov Itin},
  journal= {arXiv preprint arXiv:0908.0922},
  year   = {2013}
}
R2 v1 2026-06-21T13:33:12.194Z