Modelling of beam reflection at a nonlinear-linear interface

An analytic model of beam reflection at a nonlinear-linear interface is presented. An incident field approaches a nonlinear side of the interface at an angle close to a critical angle of total internal reflection. A nonlinearity of the plain Ken focusing type is considered. A beam field at the interface is described by changes of the beam parameters during propagation and reflection, that is, by aberrationless effects of nonlinear propagation and nonspecular effects of reflection. Numerical iteration of the analytic solution indicates that, for certain sets of incident beam and interface parameters, a bistable switch of the reflected beam can be obtained. Characteristic features of this switch appear to be different from those of a plane wave reflection.