Electromagnetic scattering by a partially graphene-coated dielectric cylinder: Efficient computation and multiple plasmonic resonances

We present a numerical approach for the solution of electromagnetic scattering from a dielectric cylinder partially covered with graphene. It is based on a classical Fourier-Bessel expansion of the fields inside and outside the cylinder to which we apply ad hoc boundary conditions in the presence of graphene. Due to the singular nature of the electric field at the edges of the graphene sheet, we introduce auxiliary boundary conditions. The result is a particularly simple and efficient method allowing the study of diffraction from such structures. We also highlight the presence of multiple plasmonic resonances that we ascribe to the surface modes of the coated cylinder.

Automated summary

We propose a numerical method to solve the electromagnetic scattering problem of a dielectric cylinder partially covered with graphene. By using a classical Fourier-Bessel expansion of the electric field inside and outside the cylinder, and incorporating appropriate boundary conditions in the presence of graphene, we introduce auxiliary boundary conditions to account for the singular nature of the electric field at the edges of the graphene sheet. The method is simple and efficient, and allows for the study of diffraction from such structures. We also identify multiple plasmonic resonances due to the presence of surface modes on the coated cylinder.