The field blocking on the interface with nonlinear response between nonlinear focusing media

Abstract

We consider the nonlinear nonsymmetrical spatially distributed excitations near the thin layer with nonlinearproperties separated with two media with Kerr-type focusing (positive) nonlinearity. We use the nonlinear Schrödingerequation with nonlinear potential containing two parameters to describe the new types of nonlinear stationary states.The problem is reduced to the solution of nonlinear Schrödinger equations on half spaces with the nonlinear boundaryconditions at the interface plane. We obtain and analyze the two types of nonlinear excitations describing the effect ofthe field blocking passing through the interface into one half-space from another one. The field blocking effect is thelocalization of the nonlinear spatially periodic wave during the transition from one half-space to another one where thewave function is monotonically damping from the interface. We derive the exact energy levels of states of special kinds inexplicit form. The conditions of the field blocking effect existence’s dependence on the interface and media characteristicsare found.