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Current Distribution and Input Impedance of a Strip Antenna Located at a Plane Interface of an Isotropic Medium and a Gyrotropic Metamaterial

A study is made of the electrodynamic characteristics of an antenna having the form of a perfectly conducting, infinitesimally thin, narrow strip located at a plane interface of an isotropic medium and a gyrotropic metamaterial which is described by the dielectric permittivity and magnetic permeability tensors with nonzero off-diagonal elements. The antenna is perpendicular to the anisotropy axis of the metamaterial and is excited by a given voltage. Singular integral equations for the antenna current are obtained. On the basis of these equations, the current distribution is found in the case of an infinitely long strip. The limits of applicability of an approximate method based on the transmission line theory for determining the current distribution and input impedance of the antenna are established. Within the framework of this method, the results obtained are generalized to the case of a finite-length strip antenna.