Rigorous time-domain graphene representation as a surface boundary condition

The present work introduces the explicit modelling of graphene in the time domain, defined by its surface conductivity, as a surface boundary condition via an efficient 2D transverse electric FDTD formulation, derived directly from Maxwell's equations. The analysis is conducted at the far-infrared regime and the proposed method is validated by comparing its results with the theoretical propagation properties of the surface waves, supported onto graphene.