The influence of the properties of the interface between linear and nonlinear optical media on the energy fluxes of nonlinear surface waves propagating along the interface

Processes of localization of field excitations in the form of nonlinear surface waves that propagate along the interface between linear and nonlinear media are considered. The existence conditions of nonlinear surface waves, which are determined by the ratio between the linear characteristics of the media, the Kerr nonlinearity coefficient, and the intensity of interaction of the wave with the interface, are analyzed. The dependences of the energy flux carried by nonlinear surface waves are calculated and analyzed. Two approaches are proposed to selection of the control parameters for determining the energy flux, which are the position of the maximum field perturbation in the nonlinear halfspace and the field amplitude at the interface. Estimates of the fluxes are found in different limiting cases, which correspond to small-amplitude field perturbations and to weak or strong interaction of a nonlinear surface wave with the interface between the media. It is shown that, in the case of small-amplitude field perturbations and the weak interaction of the wave with the interface, the flux in the linear halfspace is directly proportional to the interaction intensity of the wave with the interface, while that in the nonlinear halfspace is inversely proportional to the interaction intensity.