Defocusing-based generation and control of chaotic self-trapped patterns in nonlocal nonlinear system with sine-oscillatory response

A kind of controllable chaotic self-trapped patterns is introduced in nonlocal nonlinear system with sine-oscillatory response. The optical patterns are generated when experiencing the defocusing nonlinearity, and accompanied by the beam splitting. Both the generating distance, at which the chaotic self-trapped pattern forms, and the pattern width can be handily controlled. The generating distance depends closely on the power of optical beams, and the pattern width relates to the characteristic length of nonlinear responses. By increasing the characteristic length, the transition from the self-trapping-like propagation to the chaotic self-trapped propagation for optical beams is realized. Furthermore, the chaotic self-trapped pattern can also induce stable optical waveguides, in which optical beams can be guided and evolve as the soliton states. It also has been shown that the spatial chirp has almost no impact on the generation of the chaotic self-trapped patterns.