Arbitrary geometry phased array pattern synthesis procedure

A universal phased array pattern synthesis procedure is considered. Radiating elements mutual coupling is taken into account by using the array impedance matrix. The procedure is applicable to arbitrary array geometry with N radiators of any arbitrary sort. The required array pattern is specified at M prescribed points with a restricted sidelobe level. The pattern synthesis is considered as a gain maximization process with arbitrary additional conditions. The variational principles are used to obtain the initial approximation, then this solution is corrected using an iterative process. Only the active part of the impedance matrix is needed to be known for solving the problem