On the optimal synthesis of ring symmetric shaped beams through uniformly spaced planar arrays

This paper deals with the power pattern synthesis of circularly symmetric shaped beams via equispaced planar arrays. A computationally effective approach taking inspiration from results available in the linear array case and not exploiting global optimization schemes is presented and assessed. In particular, for a given number of radiating elements, the proposed procedure is able to state a priori whether the constraints can be fulfilled or not, and, in the affirmative case, to determine the needed excitation coefficients. An example of actual interest is shown and discussed.