Accurate numerical study of graphene disk surface plasmon resonances

The excitation of surface-plasmon resonances on a graphene disk is studied numerically as a 3D electromagnetic wave-scattering problem. Mathematical model for the scattering of a horizontal magnetic dipole field by a graphene disk is based on the Maxwell equations with the electrically-resistive boundary conditions on the disk surface, where graphene electron conductivity is included as a parameter and determined from the Kubo formalism. It is shown that plasmon resonance frequencies in the terahertz range shift with variation of the chemical magnetic potential of the graphene. Far field radiation patterns are plotted in the most intensive resonances.