Incoherently coupled photorefractive bright-bright soliton pairs in one and two dimensions

We investigate incoherently coupled bright-bright soliton pairs in photorefractive crystals under steady-state condition in both one and two transverse dimensions. The novel numerical scheme according to the Crank-Nicholson method generalized in three dimensions accompanied by the central difference method was used to solve the coupled wave and potential equations in order to find soliton solution and pairs distribution. Simulation of propagation is performed numerically and show that the presence of both components is required for stable propagation. This simulation approach demonstrates beams evolution after decoupling clearly.