线性聚焦和线性散焦效应对空间光孤子间相互作用的影响

Influence of Linear Focusing and Defocusing Effects on Interaction between Spatial Solitons

考虑非均匀一维自聚焦介质的横向不均匀性,利用非线性薛定谔方程满足的守恒律给出了相邻空间孤子间隔的解析式,并对空间孤子之间的相互作用进行了数值模拟。结果表明,线形聚焦效应增强了空间孤子之间的相互作用;而线形散焦效应减弱了空间孤子之间的相互作用。当不考虑介质横向不均匀时,空间孤子之间发生周期性的碰撞。线性散焦效应使相邻空间孤子之间的间隔随传输距离发生周期性的变化,但孤子之间并不发生碰撞。线性聚焦效应使相邻空间孤子随传输距离发生周期性的碰撞,线性聚焦效应具有压制损耗使相邻空间孤子间隔变大的作用。

Considering one-dimensional self-focusing inhomogeneous nonlinear media, we give out the intervals between spatial solitons using the conservation laws of nonlinear Schrodinger equation （NLS）. The linear focusing effect and linear defocusing effect on the interaction between spatial solitons have been studied by numerical simulation. The results show that the interaction between spatial solitons increases when the linear focusing effect is considered and the interaction between spatial solitons decreases when the linear defocusing effect is considered, Solirons collide periodically when the self-focusing inhomogeneous nonlinear effect is neglected. The interval between solitons changes periodically with propagation distance when the linear defocusing effect is considered, but the collision between solitons does not occur. Solitons collide each other periodically when the linear focusing effect is considered and the interval increases because the loss can be suppressed by the linear focusing effect.