Analysis of the Surface Plasmon Resonances of a Graphene Disk Stack: A Guaranteed and Fast Convergence Method

Abstract

In this paper, the surface plasmon resonances of a graphene disk stack, excited by an impinging plane wave, are studied by means of the guaranteed and fast convergence Helmholtz-Galerkin technique. The surface plasmon resonance frequencies are individuated by the peaks of the absorption cross-section and the total scattering cross-section, which are expressed in closed form. It is shown that, for a graphene disk stack with a small distance between the disks compared to the disks radius, the plasmon mode resonance frequencies up-shift as the number of disks increases.