An FDTD Model of Graphene Intraband Conductivity

A novel finite-difference time-domain (FDTD) model of magnetized graphene gyrotropic conductivity is proposed in this paper. The model, derived with the aid of auxiliary differential equations, takes into account intraband electron transitions, which are prevailing over interband conductivity terms up to terahertz frequencies. It is shown on the basis of equivalent circuit representation that a static magnetic bias changes a Drude dispersion characteristic of graphene into an extended Lorentz model supplemented with an additional branch accounting for the induced gyrotropy. The proposed FDTD updated equations are successfully validated with analytical results available in the literature. Computational efficiency of the algorithm is also tested.