Accurate numerical study of electromagnetic wave scattering by a dielectric-covered graphene disk

The scattering of the 3D electromagnetic field by a dielectric-covered graphene disk is studied numerically. Mathematical model for such problem is based on the Maxwell equations with two-side generalized boundary conditions (GBC) on the graphene disk. The cover thickness, the dielectric parameters and the graphene electron conductivity (determined from the Kubo formalism) are involved in electrical and magnetic resistivities of GBC as parameters. We demonstrate the resonance behavior of absorbed and radiated powers for the on-axis horizontal magnetic dipole and the horizontal magnetic turnstile source in the presence of the covered graphene disk. It is shown that the resonance frequencies shift with variation of the chemical magnetic potential of the graphene. Far field radiation patterns are plotted in the most intensive resonance for different values of the graphene disk chemical potential.