A Bianisotropic FIT Formulation over Polyhedral Grids for Metamaterial Modeling

Modeling bianisotropic constitutive equations, i.e. magnetoelectric coupling, in electromagnetics simulation is increasingly important, in particular in metamaterials applications. This paper introduces for the first time such constitutive relationships in the framework of FIT and, furthermore, does so by allowing full generality in the discretization through arbitrary polyhedral grids. The resulting formulation is consistent, stable and preserves the thermodynamic properties of the bianisotropic constitutive equations thanks to the energetic approach used to construct the interpolating functions.