Finite Element Modeling of Metasurfaces with Generalized Sheet Transition Conditions

TL;DR

This paper introduces a finite element modeling approach for metasurfaces using generalized sheet transition conditions, enabling accurate simulation of electromagnetic discontinuities in 1D and 2D domains, including complex bianisotropic cases.

Contribution

It develops and validates a novel FEM-GSTC framework for metasurfaces, extending to bianisotropic types and providing a versatile simulation tool.

Findings

Validated FEM-GSTC method with illustrative examples

Extended formulation to bianisotropic metasurfaces

Demonstrated accuracy in 1D and 2D simulations

Abstract

A modeling of metasurfaces in the finite element method (FEM) based on generalized sheet transition conditions (GSTCs) is presented. The discontinuities in electromagnetic fields across a metasurface as represented by the GSTC are modeled by assigning nodes to both sides of the metasurface. The FEM-GSTC formulation in both 1D and 2D domains is derived and implemented. The method is extended to handle more general bianistroptic metasurfaces. The formulations are validated by several illustrative examples.