The Optimal Antenna Synthesis Problem for Adaptive Phased Array

The algorithm for finding the optimal antenna for a given pattern, based on the Method of Auxiliary Sources, is used for the case of an adaptive phased array. The solution to this problem suggests finding the singularities of the analytical continuation of a given far field and placing sources with varying complex amplitudes in them. This allows to obtain the desired variable radiation pattern, with a minimum number of sources, with a minimum reactive field, and with a minimum size of the antenna's array. The results of numerical experiments for obtaining an optimal antenna with a periodically changing directional pattern are presented.