Cavity model analysis of spherical-rectangular printed antennas by employing basic spherical vector transformation techniques

In this study, an analytical method is proposed for the derivation of radiation characteristics of spherical-rectangular printed antenna arrays without suffering from rectangular grid alignment. The far-field solutions obtained by the spherical cavity model are transformed with respect to the geometrical locations of each rectangular antenna on the conducting sphere. The transformations are realized by using the spherical vector rotation techniques. Then, the superposition of far-field solutions is implemented to obtain the total far-field pattern and the result is compared with pattern of the antenna array that conforms to the rectangular grid alignment.