Bounded beams reflected at the interface between two dielectric media
can undergo lateral displacements, focal shifts, angular deviations, c
hanges in the beam waist size and complex amplitude. These effects are
examined for beams incident from a linear medium onto a nonlinear def
ocusing Kerr-type material, where the nonlinear medium changes are sup
posed to be homogeneously non-local. An exact solution to the reflecti
on problem is numerically iterated by a sequence of solutions to the r
espective linear problems and a rigorous first-order analysis of the n
on-specular phenomena is also given. The beam-interface interaction is
described in terms of the Wigner distribution function invariant with
respect to the nonspecular ABCD transformation. The results show that
, for some specified beam parameters, the beam reflection may exhibit
bistable switching, which is accompanied by bistable changes in all th
e non-specular effects.