Simulation of Metasurfaces Described by Generalized Sheet Transition Conditions Using Integral Equations

Overview

This seminar is about the development of advanced integral equation solvers designed to address the computational challenges inherent in the multiscale nature of metasurfaces. In these formulations, the physical geometry of the unit cells is replaced by an infinitesimally thin sheet where generalized sheet transition conditions (GSTCs) are strictly enforced. The electromagnetic response is characterized by equivalent electric and magnetic surface susceptibility tensors, which are utilized to connect the fields across the interface. For the simulation of monoanisotropic and bianisotropic structures, both single-trace and multi-trace surface integral equations are coupled with these transition conditions. Furthermore, the incorporation of normal field components is facilitated through a thin-sheet volume integral equation approach, whereby polarization currents are accurately represented without the requirement of a full volumetric discretization. The accuracy and numerical efficiency of the proposed solvers are demonstrated through various complex electromagnetic benchmarks.