A Homogenization Technique for Obtaining Generalized Sheet Transition Conditions (GSTCs) for a Metafilm Embedded in a Magneto-Dielectric Interface

TL;DR

This paper develops a homogenization method to derive generalized sheet transition conditions (GSTCs) for electromagnetic fields at metafilm surfaces embedded in magneto-dielectric interfaces, linking scatterer geometry to effective susceptibilities.

Contribution

It introduces a multiple-scale homogenization technique to obtain GSTCs for arbitrarily shaped scatterers in complex media, enhancing understanding of metafilm boundary behaviors.

Findings

Derived GSTCs for arbitrary-shaped scatterers

Linked surface susceptibilities to scatterer geometry

Applicable to complex magneto-dielectric interfaces

Abstract

Using the multiple-scale homogenization method, we derive generalized sheet transition conditions (GSTCs) for electromagnetic fields at the surface of a metafilm. The scatterers that compose the metafilm are of arbitrary shape and are embedded between two different magneto-dielectric media. The parameters in these boundary conditions are interpreted as effective electric and magnetic surface susceptibilities, which themselves are related to the geometry of the scatterers that constitute the metafilm.