Representation of the field of a point source in a spherical waveguide via a solution of the field problem in a plane waveguide

Abstract

At present, it is almost impossible to take into account arbitrary anisotropy in the model of spherical waveguide for the problems of radio wave propagation. In this paper, we propose a method for calculation of the field in a single-mode spherical waveguide with arbitrary anisotropy, which is based on the solution of the problem of the field in a single-mode plane waveguide. This method can be applied to calculation of the electromagnetic field in the Earth-ionosphere waveguide at frequencies below 1 kHz at the distances from the source, which exceed the effective waveguide height, but do not exceed one quarter of the great circle. The method has been brought to the stage of software implementation. The plots of the field amplitude as a function of the distance to the source are presented.