微扰变分法对光折变空间孤子相互作用的研究

利用微扰变分法研究了光折变屏蔽孤子的相干相互作用,得出了光折变空间屏蔽孤子在晶体中同相相互作用时发生第一次碰撞的位置和碰撞周期解析表达式,并对孤子同相和反相相互作用的物理机制进行了分析.研究结果表明:当两孤子尾部交叠时就会发生相互作用,相互作用力的大小与孤子的相对强度、相对间距以及晶体外加电场的大小有关.孤子的相对强度越大、相对间距越小以及晶体外加电场越强,孤子间相互作用力越大；相互作用力的性质与初始相位差有关,同相相互吸引,反相相互排斥.

Study on Interaction of Photorefractive Spatial Solitons Using Perturbative Variational Approach

The coherent interaction of photorefractive spatial screening solitons is investigated using perturbative variational approach. The position and period of first collision of in-phase solitons in the photorefractive crystal are obtained. The physics mechanism of the interaction of in-phase or out-phase solitons is analyzed. The results show that the interaction will occur when the tail of solitons is overlapped. The magnitude of interaction force is relative to the intensity and relative distance of the solitons, and the electric field biased in the photorefractive crystal. The distance between two solitons will decrease with the increase of the intensity of solitons which will become much more powerful with the increase of the biased electric field. The quality of the force is relative to the initial phase difference. Interaction of the in-phase solitons appears to attract each other, and interaction of the π out of phase solitons appears to repel each other.