Mathematical Simulation of Nonlinear Parametric Processes in THz Devices Based on Graphene Metamaterials

Abstract

Abstract: Mathematical models of nonlinear parametric processes in THz devices based on a graphene metamaterial (multilayer graphene–dielectric structure) have been constructed. The models are based on the solution of nonlinear boundary value problems of diffraction for the system of Maxwell’s equations with electrodynamic boundary conditions, where the graphene conductivity has a nonlinear dependence on the electric field strength approximated by a polynomial. A projection model in the integral form is constructed for the systems of nonlinear Maxwell’s equations at combination frequencies. Mathematical simulation of the regimes of regenerative parametric amplification and parametric generation due to wave instability has been carried out.