The present paper is devoted to an investigation of the influence of radiative losses upon the spatial dynamics of self-consistent waveguide channels that are localized near interfaces 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 its angle of inclination to an interface, can lead either to the total disappearance of a nonlinear channel formation, or to its displacement, deep into the nonlinear medium, as a consequence of the loss of some part of the initial energy. The nonlinear interaction of self-consistent channels with externally incident, stimulating, beams is studied, and stability of the resulting steady states is determined. In order to carry out these investigations, an original approach is used that is based on the assumption of a small overlap between externally incident waves and the internal, nonlinear, quasilocalized eigenmode. It is shown that this method permits equations to be obtained that determine the spatial dynamics of channel energy, and position, together with the structure of the scattered field. © 1996 The American Physical Society.

• Received 10 January 1996

DOI:https://doi.org/10.1103/PhysRevE.53.5409