Abstract

The present report is devoted to an investigation of the influence of radiative losses upon the spatial dynamics of self-consistent waveguide channels that are localized near to the interface between linear and Kerr-type nonlinear dielectric media. It is shown that the radiative effects, through their dependence on the intensity of the electromagnetic fields, the initial channel position, and the angle of incidence, can lead either to the total disappearance of nonlinear formations or to their displacement, deep into the nonlinear medium, as the result of loss of some part of the initial energy. The nonlinear interaction of the self-consistent channels with the externally incident, stimulating beams is studied and stability of resulting steady states is determined. In order to carry out these investigations, an original perturbation approach is suggested that is based on the assumption of a small overlap between the externally incident waves and the internal, nonlinear quasilocalized eigenmode. It is shown that this step permits equations that determine the spatial dynamics of channel energy and position, to be obtained, together with the structure of scattered fields. The results obtained enable an interpretation of some effects, previously demonstrated by extensive 2-D numerical calculations, to be given.

© 1994 IEEE