Hybrid modes propagation inside parallel plate waveguide using anisotropic graphene plate

In this paper, a tunable parallel plate waveguide with a metal plate and a sheet of graphene is presented. The anisotropic conductivity of the graphene sheet submitted to a magnetic field is modeled by a conductivity tensor in which the diagonal and Hall conductivities are derived from the Kubo formula. The Maxwell equations are solved assuming the graphene sheet been biased both with an electric and a magnetic fields. It is shown that in this case a hybrid mode propagates inside the waveguide. The amount of power which propagates in each TE and TM modes can be adjusted by the magnitude of applied fields. Considering the attenuation, the proposed waveguide demonstrate good characteristics in comparison to metal waveguides in the 0.4 to 1 THz frequency band.