Abstract
A physical model for forming the spatial photorefractive screening solitons based on the paraxial wave equation and on the Kukhtarev model in one and two transverse dimensions is studied. A numerical simulation of the interaction between two incoherent spatial photorefractive screening solitons was performed. The numerical scheme according to the Crank–Nicholson method generalized in three dimensions, accompanied by the central difference method, is introduced to solve the coupled wave and potential equations governed by the generation of solitons and their interaction. This simulation approach demonstrates theoretically the real aspect of the photorefractive screening soliton interaction in one dimension and compares it with the two-dimensional case. It is found clearly that the interaction in one dimension displays only attraction whereas in two dimensions repulsion as well as attraction are displayed. The outcome can be used in fabrication of all-optical switching elements.
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