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 nonlinear properties separated with two media with Kerr-type focusing (positive) nonlinearity. We use the nonlinear Schrödinger equation 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 boundary conditions at the interface plane. We obtain and analyze the two types of nonlinear excitations describing the effect of the field blocking passing through the interface into one half-space from another one. The field blocking effect is the localization of the nonlinear spatially periodic wave during the transition from one half-space to another one where the wave function is monotonically damping from the interface. We derive the exact energy levels of states of special kinds in explicit form. The conditions of the field blocking effect existence's dependence on the interface and media characteristics are found.

Keywords: Planar defect, interface, nonlinear wave, interface state, soliton, localized state, nonlinear Schrödinger equation

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