Synthesis of Flat-Top Beampattern with Minimax Sidelobes and Constrained Dynamic Range Ratio

This paper considers optimization-based design of symmetric arrays with arbitrary degree of flatness at beam's top and minimax sidelobes. Basic design is formulated as a convex optimization problem. The problem is then equipped with constraints which bound dynamic range ratio (DRR) of excitation coefficients. Since the coefficients in such a design can take positive and negative values, the DRR constraints are nonconvex. To deal with them, recently developed branch and bound method is utilized which solves the problem globally and allows certain coefficients to take zero values.