General characteristics of the electromagnetic fields in a resonator with hyperbolic metamaterial

Abstract

Hyperbolic metamaterials (HMM) are very promising type of the metamaterials due to their unusual properties. HMM exhibits hyperbolic-type dispersion in space of wave-vectors and described by the diagonal extremely anisotropic permittivity tensor. One of the remarkable properties of hyperbolic media (HM) is the existence of propagating waves with large wavevectors known as high-k waves in defined directions, due to the appropriate dispersion relation. This distinctive feature of the HM offers the challenge for multiple device applications and physical phenomena: negative refraction, epsilon-near-zero materials, superlenses, THz emission, nanoscale waveguiding, super-resolution imaging, quantum optics and many others. Promising properties of asymmetric hyperbolic metamaterial (AHMM) consisting of periodically arranged layers (or wires) in host media, tilted relatively to outer boundary are investigated. This kind of artificial complex material might be considered as a homogeneous medium with effective parameters due to the smallness of its period. We investigate based characteristic of electromagnetic waves propagation inside complex cavity contains AHMM by direct calculation the modes for general case of wave-vector K(kx,ky,kz) and solve its dispersion equations numerically. We have estimated the effect of increasing of density of photonic states of electromagnetic field in the cavity, besides hyperbolic medium, by direct calculation of modal field and dispersion equation. A very high electromagnetic density of states manifests as a high rate of spontaneous emission and an enhancement of all processes of interaction of light and matter.

Speaker

Olga Kozina
Kotel’nikov Institute of Radio-Engineering and Electronics of Russian Academy of Science, Saratov Branch
Russia

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