Dipolar GSTCs at an Impenetrable Boundary

In this work, we consider the question: can a zero-thickness susceptibility model in conjunction with the generalized sheet transition conditions (GSTCs) be used to model impenetrable, fully-reflective metasurfaces (MSs)? Considering a simple case of a ground plane with a dielectric coating—for which the reflection is analytically known—we find a set of susceptibilities which only depends on the geometrical and electrical properties of the structure and is able to predict the scattering response regardless of the TE-polarized incident fields, with both forward and backward illumination.