Theory of a Strip Antenna Located at a Plane Interface of a Uniaxial Metamaterial and an Isotropic Magnetodielectric

Electrodynamic characteristics of a straight strip antenna located at a plane interface of a uniaxial metamaterial and an isotropic magnetodielectric are studied using the integral equation method. The antenna is perpendicular to the anisotropy axis of the metamaterial filling the half-space on one side of the interface and is excited by a given voltage. The cases of metamaterials with hyperbolic and nonhyperbolic dispersion are considered. A closed-form solution for the current distribution of an infinitely long strip is obtained and the input impedance of such an antenna is found. Based on this solution, the limits of applicability of the transmission line theory for determining the characteristics of the antenna are established and a generalization to the case of a finite-length strip antenna is discussed.