Level-Set shape optimization for planar antenna arrays

We present an inverse algorithm based on Level Set method 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 it from measurements. The forward problem is solved using an integral formulation of the EM problem with finite element discretization. The shape gradient is computed using two different methods: one based on nodal point mesh derivation and the other on topological gradient. Different configurations of antenna arrays are studied for investigating the performance of the inverse algorithm and optimization procedure.