Analysis of a Circular Loop Antenna Located on a Hyperbolic Metamaterial Cylinder

A study is made of the current distribution and input impedance of a circular loop antenna located on the surface of a cylinder filled with a uniaxial hyperbolic metamaterial and surrounded by an isotropic magnetodielectric. Integral equations for azimuthal harmonics of the antenna current excited by a given time-harmonic voltage are derived and solved. The behavior of the current distribution and input impedance of the antenna as functions of the metamaterial parameters is discussed.