Topological shape gradient and Level-Set method for optimizing planar antennas

We present an inverse algorithm based on Level Set method and topological shape gradient for optimizing the shape of planar antenna structure or arrays from imposed constraints (e.g. desired or imposed radiation patterns, gain or directivity) or for reconstructing the shape from measurements. The forward problem is solved using an integral formulation of the EM problem with finite element discretization. The topological shape gradient is computed based on a topological deformation and fast linear system transformation algorithm. Different configurations of antenna arrays are studied for investigating the performance of the inverse algorithm and optimization procedure.