Phase-Only Synthesis of Pencil Beams via Sequential Quadratic Programming

Phase-only adjustment of antenna arrays simplifies design of their feeding networks and maximizes energy efficiency. However, optimization-based synthesis of the corresponding beam patterns leads to nonconvex problems. Various techniques for solving these problems have been considered. In this paper, we present an approach based on sequential quadratic programming. We focus on phase-only design of pencil beams with the sidelobes optimum in minimax sense. In this context, we consider beampatterns without and with null regions, having specified coefficients' magnitudes and arbitrary, even-symmetric, or odd-symmetric phases.