Electrostatic Dyakonov-like surface waves supported by metallic nanowire-based hyperbolic metamaterials

Abstract

New electrostatic (or, more accurately, quasi-electrostatic or slow electric) surface waves, i.e., electrostatic Dyakonov-like surface waves, are predicted theoretically. These surface waves are localized at the interface between a metallic nanowire-based hyperbolic metamaterial and an isotropic medium and travel along the interface. Solving a modified Laplace’s equation in conjunction with the appropriate boundary conditions, the dispersion relation, power flow, energy density, group (energy) velocity, and polarization are obtained for these electrostatic Dyakonov-like surface waves, and some numerical solutions are presented.