强非局域介质中多个空间孤子的相互作用

研究了在强非局域情况下,非局域非线性介质中多个(大于两个)空间孤子相互作用的特点与规律。以Snyder-Mitchell线性模型为理论基础并利用线性叠加原理来构建解。另外,还采用了将孤子作为粒子处理的方法。主要考虑空间斜对称入射的三、四束光的相互作用,从而得出多个空间孤子相互作用的规律。还得出了(1 2)维多孤子相互作用的精确解析解,并且利用解析解画出了多孤子传输过程中的光强分布图。根据解析解发现,多孤子能形成稳定的束缚态向前传输,缠绕与否与初始入射方向有关;作用过程中并无能量转移,且相互作用与初始相位无关。将孤子作为粒子处理得到的孤子相互作用的规律与解析解得出的规律一致。

The Interaction of Multi-Spatial Solitons in Strongly Nonlocal Media

The characteristic and law of interaction of multi-spatial solitons(more than two) in strongly nonlocal nonlinear media is discussed.Based on Snyder-Mitchell's linear model,the solution is achieved by the method of linear superposition.In addition solitons have been treated as particles.The interaction of three and four beams with spatial slanting symmetrical incidence is studied,and the rule of the interaction of multi-spatial solitons is obtained.The exact analytical solution of(2 1) solitons interaction has been achieved.From the solution the light intensity contour lines in solitons propagation are drawn.Multi-spatial solitons can form stable bound states when they propagate.Their spiraling is decided by the initial directions of incidence.There is no energy transfer in the process of propagation.The interaction has nothing to do with the beam's initial phases.When the solitons are treated as particles,the same rule of their interaction is obtained.