Shaped Power Pattern Antenna Array Synthesis with Reduction of Dynamic Range Ratio

A shaped power pattern synthesis with reduction of dynamic range ratio (DRR) is presented in this paper. Controlling the DRR of the excitations for the shaped power pattern synthesis is very useful since it can reduce the output power loss and also simplifies the complexity of the feeding network design. The synthesis of shaped pattern is typically a nonconvex optimization problem. To solve this problem efficiently, we formulate the synthesis as Semi-definite relaxation (SDR) form which allows to relax some non-convex constraints so as to formulate the problem into a convex form. Then it can be efficiently solved using readily available toolbox. Finally, numerical example is presented to show the effectiveness and advantages of the proposed method.