Fresnel diffraction of solitons in the Synge model

The problem of Fresnel diffraction of complex scalar solitons by an infinite rectilinear slot in an absorbing screen is considered. The intensity of the scattered solitons is computed in a first approximation of perturbation theory, and the ratio between the characteristic dimension of the soliton and the slot width is taken as the smallness parameter. © 1982 Plenum Publishing Corporation.