Preliminary Investigation of Scattering Matrix Method as Inverse Design Tool for Metagratings

This paper presents a preliminary investigation of the Scattering Matrix Method (SMM) for use in the inverse design of metasurfaces aimed at achieving anomalous reflection. We focus on optimizing the dimensions of cylindrical scatterers uniformly arranged near a planar perfectly conducting surface to control the scattered field and suppress specular reflection. The optimal configuration is achieved through the combined use of global optimization via Very Fast Annealing and local optimization using the Nonlinear Programming Solver. Due to the fact that mutual interaction matrices remain constant at each iteration, this approach significantly reduces computation time without compromising accuracy. The obtained results have been verified using commercial electromagnetic software.