Scattering problem of TE-wave on a thin silicon layer covered with graphene

Background. This work focuses on study of optical properties of graphene accounting for the intrinsic optical nonlinearity of this material as well as the effects of the surrounding media. The purpose of the study is to consider a diffraction problem of an electromagnetic wave on a two-dimensional slab covered with a graphene monolayer or a regular lattice of infinite (in one of the longitudinal directions) graphene strips. Materials and methods. Using Green’s functions approach, the diffraction problem is reduced to a nonlinear hypersingular integral equation for solving which we apply the collocation method together with an iterative one in order to account for the effect of optical nonlinearity of graphene. Results and conclusions. The results of numerical simulation of electromagnetic wave scattering at 6 THz on a planar dielectric layer 20 microns thick filled with silicon and covered with graphene are obtained. The results show that changing the chemical potential of graphene leads to a significant change in the reflected wave profile, which can be used to control (modulate) optical signals.