在参量控制下的(2+1)维空间光孤子

(2+1)-dimensional spatial optical soliton in parameter control

为了实现在纵向变化的参量控制下(2+1)维空间光孤子不稳定性的抑制,通过数值求解变系数(2+1)维非线性薛定谔方程,讨论了在参量控制下的(2+1)维空间光孤子。结果发现,一定的参量控制,即沿传播方向周期性改变的衍射参量和自聚焦效应参量可有效抑制(2+1)维空间光孤子的不稳定性。另外,进一步的数值计算表明,在一定参量控制下(2+1)维空间光孤子的传输对损耗,有限的扰动,如白噪声等不敏感。这表明参量控制的(2+1)维空间光孤子应该是稳定的。

In order to restrict the instability of （2＋1）-dimensional spatial optical soliton by the parameter control along the longitudinal axes, （2＋1）-dimensional spatial optical soliton in parameter control was discussed by solving the （2＋1）-dimensional nonlinear Schrodinger equation with variable coefficients numerically. The results show that the parameter control, namely, the combined effects of periodically controlling both the diffraction parameter and self-focusing parameter along the longitudinal axes, can restrict the instability of （2＋l）-dimensional spatial optical soliton to some extent. On the other hand, further simulation indicates that the propagation of （2＋l）-dimensional spatial optical soliton in parameter control is less sensitive to both loss and finite perturbations, such as white noise. This reveals that （2＋1）-dimensional spatial optical soliton in parameter control is stable.