Theory of a Circular Loop Antenna Located on the Surface of a Dielectric Column in a Magnetoplasma

We study the electrodynamic characteristics of a circular loop antenna located on the surface of a dielectric column in a homogeneous magnetoplasma. The antenna has the form of an infinitesimally thin, perfectly conducting narrow strip coiled into a ring and is excited by a monochromatic given voltage. Singular integral equations for azimuthal harmonics of the antenna current are obtained in the case where the dielectric column is aligned with an external magnetic field. Based on the solution of these equations, the current distribution and input impedance of the antenna are found and analyzed. It is shown that in the resonant frequency ranges of a magnetoplasma, these characteristics admit a simplified analytical description, which corresponds to the transmission line theory with a complex current-distribution constant.