General Formulation of the Boundary Element Method (BEM) for Curvilinear Metasurfaces in the Presence of Multiple Scattering Objects

This paper presents a general formulation for determining the scattered Electromagnetic fields present for a multi-surface configuration of curvilinear interfaces comprised of metasurfaces, dielectrics and perfect conductors. The method uses a Boundary Element Method (BEM) formulation of the frequency domain version of Maxwell’s equations, where the general metasurface boundaries are represented in terms of surface susceptibilities which are then integrated within the BEM using the Generalized Sheet Transition Conditions (GSTCs). These curvilinear surfaces are next described by parametric equations allowing for an elegant formulation for geometrically complex systems. The proposed method is then demonstrated using a numerical example.