Propagation Dynamics Of Spatial Optical Solitons In Nonlocal Media

The space beam will be divergent due to the diffraction effect in the propagation. But in the special media, when the linear diffraction effect balances with nonlinear effect, the space beam will form into self-trapping with a stable transmission state. This beam is called spacial optical soliton. It is very important for the research of spacial optical soli-tons propagation in nonlinear material. So people are enthusiastic on it in recent decades. In order to extend the field of researching nonlocal spacial optical solitons, Snyder and Mitchell approximate the nonlocal nonlinear Schrodinger equation to a linear model. The nonlinear refraction index of the material in the space of a point is not only related to the light field of the point, but also related to the light field in a region near the point. There are a lot of achievements about the nonlocal spatial optical solitons in the nonlinear materials such as nematic liquid crystal, lead glass and so on. In this paper, we mainly investigate the new propagation properties of spatial optical solitons in nonlocal C-Q media.Firstly, in this paper we study the wave form of optical soliton by the numerical method of Newton iterative in the nonlocal Cubic-Quintic(C-Q) model which was pro-posed by D. Mihalache, and prove propagation stability of solitons by the split-step Fourier method. Bright solitons exists unstable interval in the media of competing nonlocal cubic defocusing and quintic focusing nonlinear from the numerical results. And bright solitons are always unstable in the media of local cubic defocusing and quintic focusing nonlinear. In addition, we have made a research of the properties and interaction of in-phase soli-tons in the media of competing nonlocal cubic defocusing and quintic focusing nonlinear. Moreover, we prove the multipole-mode solitons stability by the split-step Fourier method in the media of competing nonlocal cubic focusing and quintic defocusing nonlinear. We discover that triple-and quadrupole-mode solitons can be made stable, whereas all higher- order soliton bound states are unstable. We also discuss some periodic solitons by the impact of the boundary.Secondly, We give out the properties and propagation stability of dark solitons and multipole-mode dark solitons by the numerical methods in nonlocal C-Q media. It is found that the lengths of nonlocal and nonlinear can impact the peak heights and the beam widths of the solitons, also it can be exist stable ground state and bound state of dark solitons in the proper parameters of competing nonlocal and nonlinear. Moreover, we discuss the propagation of dark solitons and two-mode dark solitons in the media of local cubic focusing and nonlocal quintic defocusing nonlinear. We find that the dark solitons are more stable than in the media of local cubic defocusing and nonlocal quintic focusing nonlinear.