The challenge of modeling grounded metasurfaces: a new approach to obtain their constitutive parameters

Abstract

AbstractA new technique to retrieve the constitutive parameters of grounded metamaterials is proposed in this article. Previous methods presented in the literature used to retrieve the constitutive parameters of materials in general and metamaterials, in particular. are not applicable since they rely on both reflectivity and transmittivity data. In grounded metamaterials, there is no transmission and hence, a new method is needed to obtain the metamaterial constitutive parameters (both permittivity and permeability) by means of just reflectivity data. The proposed methodology is based on extracting the aforementioned constitutive parameters using the reflectivity response to two different angles of the incident plane wave. First, the solution to the problem is presented from a mathematical perspective. Then, the methodology is applied to a grounded metasurface and their constitutive parameters are extracted. From these parameters, interesting phenomena that occurs in the metasurface are explained. Finally, the range of validity of the method is also analysed.