Abstract

A detailed analysis and study of a prolate hemispheroidal dielectric resonator antenna (DRA) excited by a rectangular slot aperture are developed. The method used is based on the dyadic Green's function technique in the spheroidal coordinates. In this work, the dyadic Green's functions pertaining to a magnetic-current source located in a dielectric spheroid is derived and expressed in a form convenient for numerical computations. The dyadic Green's functions are then employed to formulate the electromagnetic fields radiated by the DRA. The electromagnetic far field is expressed analytically in a compact form. The antenna radiation patterns and directivities are computed for different design parameters. The accuracy of the solution is attested by both comparing with HFSS simulation results and with published data for the corresponding hemispherical dielectric resonator antenna. Furthermore, efficient algorithms for calculating the prolate spheroidal wave functions are developed using the software package MATLAB. The algorithm developed here for calculating the prolate spheroidal function is compact, fast, and efficient, and compared well with other results in the literature.