Classification of dispersion equations for homogeneous dielectric-magnetic uniaxial materials

Abstract

The geometric representation at a fixed frequency of the wavevector (or dispersion) surface $\omega (\vec{k})$ for lossless, homogeneous dielectric--magnetic uniaxial materials is explored, when the elements of the relative permittivity and permeability tensors of the material can have any sign. Electromagnetic plane waves propagating inside the material can exhibit dispersion surfaces in the form of ellipsoids of revolution, hyperboloids of one sheet, or hyperboloids of two sheets. Furthermore, depending on the relative orientation of the optic axis, the intersections of these surfaces with fixed planes of propagation can be circles, ellipses, hyperbolas, or straight lines. The obtained understanding is used to study the reflection and refraction of electromagnetic plane waves due to a planar interface with an isotropic medium.

References in corpus (6)

• Electromagnetic Wave Propagation in Media with Indefinite Permittivity and Permeability Tensors
• Plane waves with negative phase velocity in Faraday chiral mediums
• Negative Refraction in Perspective
• Counterposed phase velocity and energy-transport velocity vectors in a dielectric-magnetic uniaxial medium
• Enhanced diffraction by a rectangular grating made of a negative phase--velocity (or negative index) material
• Uniaxial dielectric mediums with hyperbolic dispersion relations

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• Effect of charge on negative-phase-velocity propagation of electromagnetic waves in the ergosphere of a rotating black hole
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• Anomalous propagations of electromagnetic waves in anisotropic media with a unique dispersion relation
• Photon gas with hyperbolic dispersion relations
• Dispersion Characteristics of a Glide-Symmetric Square Patch Metamaterial with Giant Anisotropy
• Calculation of dispersion equations for uniaxial dielectric-magnetic mediums