Spatial optical soliton in (1 + 2)-dimensional synthetic nonlocal nonlinear media

Abstract

This paper studies the propagation of Gaussian-shaped optical beams in (1+2)-dimensional synthetic nonlocal media by variational approach. The evolution equations for the parameters of the optical beam are obtained and the critical power of forming a soliton is found. The optical soliton can be formed in “focusing–focusing” synthetic nonlocal media with arbitrary degree of nonlocality. However, we find that σ2 must be grater than a certain value which was depended on the other material parameters of the “focusing–defocusing” synthetic nonlocal media. The analytical results were confirmed by the numerical results.