Electromagnetic radiation of antennas in the presence of an arbitrarily shaped dielectric object: Green dyadics and their applications

Although electromagnetic scattering problems have been investigated extensively by using Waterman´s (1971) T-matrix method (TMM), the radiation problem of an antenna in the presence of an arbitrarily shaped object were not considered thereof. In this paper, the technique of surface integral equations has been employed; and as a result, a terse and analytical representation of the dyadic Green´s functions (DGFs) in the presence of an arbitrarily shaped dielectric object is obtained in a similar fashion to that in the TMM. In the case of a dielectric sphere, this representation reduces to the same expression as obtained elsewhere in a different approach. As applications of the approach proposed in the paper, radiation problems of an electric dipole in the presence of superspheroids and rotational parabolic bodies are solved although the theoretical formulas derived can be applied to arbitrary current distributions located anywhere in the presence of an object of arbitrary shape.