Topology Optimization for Microwave Control With Reconfigurable Intelligent Metasurfaces In Complex Media

Reconfigurable intelligent metasurfaces have been proposed as an efficient solution for improving wireless telecommunication systems in multiple scattering or reverberating media. Concurrently, topology optimization has been successfully employed as an inverse design technique in many fields, and particularly in electromagnetics. In this work, we apply a gradient-based topology optimization for tuning the binary elements of a metasurface for a focusing goal in a complex environment. First, the metasurface unit-cells are approximated as point sources and, then, the optimization problem is formulated. Afterwards, the proposed method is applied to find the optimal parameter sets on three distinct environments of an ascending complexity and the resulting focus for each case is demonstrated via simulations. The combination of reverberating cavity and a metasurface inside the latter reveals very powerful since everything can be solved analytically for focusing outside the cavity.