Polarization synthesis of arbitrary arrays with shaped beam pattern

The joint synthesis of the spatial power pattern and polarization of arbitrary arrays is addressed. Specifically, the element excitations are determined such that the array radiates a shaped power pattern while its polarization is optimized in an angular region. Any state of polarization (elliptical, circular and linear) can be synthesized and there is no restriction regarding the array geometry and element patterns. The synthesis problem is rewritten as a convex optimization problem, that is efficiently solved using readily available software. Various numerical results are presented to validate the proposed method and illustrate its potentialities.