Single-series solution to the radiation of loop antenna in the presence of a conducting sphere

Abstract

A ring source of arbitrary current backed by a perfectly conducting sphere is analyzed through Green's function formulation. The infinite double sum of the Green's function is written in terms of a single series by performing a transformation of the coordinate system. The resulting form is used for the numerical evaluation of the scattering integral. The operation of the coupled loop-sphere structure is understood via the discussion of several numerical results.