Use of Equivalent Metamaterial Parameters in Finite Element Models of Macro-scale Metamaterial

Experimentally measured reflectance and transmittance are used to obtain effective permittivity, permeability and conductivity for a planar microwave metamaterial. These parameters are then used in a finite element models of macro-scale metamaterial objects, where the metamaterial is represented as a homogeneous layer with frequency-dependent permittivity, permeability and conductivity. We demonstrate good agreement between reflectance and absorbance of metamaterial structure and those obtained from modeling homogenized, macro-scale metamaterials. We further demonstrate use of the method for geometrically scaled, oddly-shaped macroscopic objects. This method significantly reduces computation requirements and enables modeling of metamaterial-made, large area objects without modeling their actual intricate metamaterial structure.