A generalized sheet transition condition model for a metafilm partially embedded in an interface

In this paper, the authors derived the generalized sheet transition condition (GSTC) for the average fields at a metafilm embedded in a material interface. The interaction between the scatterers is taken into account to the first (dipole) order of approximation. The GSTCs contain as special cases a number of results previously given in the literature. These boundary conditions have several important applications. For numerical modeling of fields using standard techniques (FDTD, FEM, Galerkin´s method, etc.) computation time and storage requirements may be reduced by eliminating the need to compute the fields in a finely graded mesh inside and near the metafilm. GSTCs may also be used to obtain analytical closed-form expressions for transmission and reflection coefficients at a metafilm, as well as to model easily their use in waveguides, resonators and other common electromagnetic structures.