The evolution of few cycles optical pulses in a double-layer graphene – boron nitride taking into account nonlinearity of a medium

The propagation of ultra-short optical pulses in a thin film created by graphene grown on a boron nitride was considered, taking into account non-linear medium characteristics. Electron conduction in such a system described with a long-wave effective Hamiltonian for the low temperatures media. The electromagnetic field is taken in the framework of classical Maxwell equations. Dependence of the pulse shape on the initial pulse amplitude and the parameters of the linear and nonlinear polarization is shown.