Microwave characterization of anisotropic graphene by applying the Duality theorem

In this work, an easy procedure for simulation of magnetically-Biased graphene is proposed: this allows using electromagnetic simulators even when gyrotropic materials are not included by the software. To this aim, the similarity of graphene with lossy ferrite has been exploited. The Duality Theorem is applied to establish the formal equivalence of a thin layer of un-biased ferrite with Biased graphene: boundary conditions and excitations are properly set in order to respect this equivalence. The simulation test-case is given by a resonating wire-antenna perturbed by the close proximity of a graphene patch: actually, simpler choices were possible, but the present test resembles the interaction of a microscope-tip with graphene, and may have some interesting fallouts on the experimental side. In order to validate the numerical results, all simulations are performed, for comparison, by independent tools, based on analytical and numerical methods