SPATIAL DYNAMICS OF SOLITON-LIKE CHANNELS NEAR INTERFACES BETWEEN OPTICALLY LINEAR AND NONLINEAR MEDIA

The present paper is devoted to an investigation of the influence of r adiative losses upon the spatial dynamics of self-consistent waveguide channels that are localized near interfaces between linear and Ken-ty pe nonlinear dielectric media. It is shown that the radiative effects, through their dependence on the intensity of the electromagnetic fiel ds, the initial channel position, and its angle of inclination to an i nterface, can lead either to the total disappearance of-a nonlinear ch annel formation, or to its displacement, deep into the nonlinear mediu m, as a consequence of the loss of some part of the initial energy. Th e nonlinear interaction of self-consistent channels with externally in cident, stimulating, beams is studied, and stability of the resulting steady states is determined. In order to carry out these investigation s, an original approach is used that is based on the assumption of a s mall overlap between externally incident waves and the internal, nonli near, quasilocalized eigenmode. It is shown that this method permits e quations to be obtained that determine the spatial dynamics of channel energy, and position, together with the structure of the scattered fi eld.