Theory of a strip antenna located at a plane interface of a uniaxial magnetic metamaterial and an isotropic medium

Electrodynamic characteristics of an antenna in the form of an infinitesimally thin, perfectly conducting narrow strip located at a plane interface of a uniaxial magnetic metamaterial and an isotropic magnetodielectric medium are studied. The antenna is placed perpendicular to the anisotropy axis of the metamaterial and excited by a time-harmonic external voltage. Singular integral equations for the antenna current are derived for an infinitely long conducting strip. The solutions to such equations are used to find and analyze the current distribution and input impedance of the antenna. Conditions for applicability of an approximate transmission line method for determining the antenna characteristics are established. Within the framework of this method, the obtained results are generalized to the case of a strip antenna with finite length.