Abstract: Based on two-dimensional square lattices and Bessel optical lattices, the propagation characteristics of Gaussian beam are investigated by alternative implicit differential method. The results show that the lattice soliton with most of energy concentrated in the center can form when the Gaussian beam propagate in two-dimensional square lattices, the other space discrete soliton also can form by adjusting parameters. For Bessel lattice, the three-rings-like soliton can form in the conditions of appropriate external biased field and photovoltaic field when the transverse lattice scale is smaller i.e. the most of Gaussian beam energy is concentrated in the center lattice channel. The single-ring-like and Gaussian-like soliton will form when the transverse lattice scale is increasing. The variety of photorefractive lattice solitons has some potential application value in all-optical-switching.

Key words: optical lattices