Mask-Constrained Power Synthesis of Linear Arrays With Even Excitations

An existing effective approach for the synthesis of linear arrays providing power patterns lying in arbitrary masks is extended to the case where an even distribution is required on element excitations. The approach consists of a linear programming optimization plus a polynomial factorization, and it allows one to deal with a considerably reduced computational burden with respect to the previous approaches. By so doing, it is now possible to solve problems that cannot be successfully tackled by the previous techniques. An extension of the overall strategy to the synthesis of fields guaranteeing optimal performances in terms of directivity or ripple in the main-beam region is also given.