A general effective approach to the synthesis of shaped beams for arbitrary fixed-geometry arrays

We propose a new approach to the mask-constrained synthesis of shaped beams through generic array antennas having arbitrary layouts and element patterns. The introduced general methodology allows casting the design problem as a finite number of Convex Programming optimizations and can generate different excitation solutions all fulfilling the required specifications. Numerical examples, including planar arrays and the full-wave synthesis of an aperiodic array, are provided in support of the given theory.