Array synthesis with spatial power pattern and polarization constraints

The joint synthesis of the spatial power pattern and polarization of arbitrary arrays is addressed. Specifically, the proposed approach gives the solution to a frequently encountered problem, namely the array design (i.e. the determination of the radiating element weightings) to achieve a pattern that is arbitrarily upper bounded, while its polarization is optimized in a given angular region. The synthesis problem is written as a convex optimization problem that can efficiently be solved using freely available software. Examples of the synthesis of linear and circular polarization with a linear array are shown.