Plasmon Resonances in a Graphene Ribbon on a Finite-Size Dielectric Substrate

Abstract

A 2D problem of the diffraction of plane electromagnetic wave by a graphene ribbon on a finitesize dielectric substrate is considered for the TM polarization. Rigorous numerical methods are used to calculate the scattering cross sections in the terahertz frequency range. It is shown that multipole resonances vanish in the scattering spectrum in the presence of a small substrate that represents a thin dielectric film.