Spectral Analysis of a Nanodipole Array above the Surface Impedance of Graphene by Green's Function

In this paper, we present a spectral analysis of a nanodipole array above a graphene layer by the Periodic Green's Function (PGF) method. The graphene layer deposited on a dielectric substrate is modeled as a surface impedance with conductivity described by the Kubo model. The Green's function is obtained by the complex two-dimensional Fourier series transform, with impedance condition at the interface between the dielectric media. We performed a parametric analysis of the influence of chemical potential on the absorbance and the electromagnetic fields in the spectral domain. For the modeling used, the dispersion characteristic of graphene is also verified. From the spectral analysis we investigated the emergence of the Surface Plasmon Polariton (SPP) pole in the spectral representation. Finally, we compared the model based on impedance condition with a formulation that considers graphene with a finite thickness.