Parametric Interactions of Waves in Terahertz Devices Based on Graphene Metamaterials

The mathematical modeling of operating regimes of parametric THz devices based on graphene metamaterials (graphene‒dielectric periodic structures (GDPSs)) has been carried out by solving a nonlinear 3D diffraction problem for Maxwell’s equations in the projection integral form. Using an algorithm for computing bifurcation points of the nonlinear Maxwell operator, the threshold pump wave amplitudes have been calculated at which an unstable mode of the parametric excitation of electromagnetic waves occurs in GDPS-based THz device.