Theory of Electrostatic Waves in Hyperbolic Metamaterials

This book covers electrostatic properties of hyperbolic metamaterials (HMMs), a fascinating class of metamaterials which combine dielectric and metal components. Due to the hyperbolic topology of the isofrequency surface in HMMs, the so-called resonance cone direction exists, and as a result, propagation of quasi-electrostatic waves, or more commonly, electrostatic waves close to the resonance cone with large wave vectors, is possible. However, the investigation of electrostatic wave properties in HMMs is largely overlooked in most works on the subject, and the purpose of this monograph is to fill this gap. This book gives a thorough theoretical treatment of propagation, reflection, and refraction of electrostatic waves in HMMs of various dimensions and geometries. It will be of interest to students and researchers who work on electrical and optical properties of metamaterials.

?This reference provides a detailed theoretical framework for the modified system of Maxwell?s equations in anisotropic media, which is well-suited for advanced undergraduate or graduate students as well as scientists interested in the combined effects of dielectric and metal components for the resulting field. Readers with an interest in photonic crystals or surface waves will find a detailed analytical treatment on dispersion relationships, phase, and group velocities with possible group delays for hyperbolic metamaterials.? (Axel Mainzer Koenig, optica-opn.org, March 7, 2024)