在参量控制下的（2+1）维空间光孤子

J4 ›› 2010, Vol. 27 ›› Issue (3): 336-339.

在参量控制下的（2+1）维空间光孤子

郝瑞宇

长治学院电子信息与物理系，山西长治 046011

收稿日期:2009-07-01 修回日期:2009-10-19 出版日期:2010-05-28 发布日期:2010-05-11
作者简介:郝瑞宇（1979---），男，博士，讲师，主要从事光孤子通信方面的研究。Email：haoruiyu@yahoo.com.cn
基金资助:
山西省青年科技研究基金(2008012002-2)资助

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

Hao Ruiyu

Department of Electronic Information and Physics,Changzhi University, Changzhi 046011, China)

Received:2009-07-01 Revised:2009-10-19 Published:2010-05-28 Online:2010-05-11

摘要/Abstract

摘要：

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，通过了数值地求解变系数的（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，在一定参量控制下的（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。

关键词: 非线性光学∣参量控制∣数值模拟∣(2+1）维空间光孤子

Abstract:

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 Schr?dinger equation with variable coefficients numerically. The results show that the parameter control, namely, the combined effects of periodically controlling both the diffraction parameter and the self-focusing parameter along the longitudinal axes, can restrict the instability of (2+1)-dimensional spatial optical soliton to some extent. On the other hand, further simulations indicate that the propagation of (2+1)-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 should be stable.

Key words: nonlinear optics∣parameter control∣numerical simulations∣(2+1)-dimensional spatial optical soliton

郝瑞宇. 在参量控制下的（2+1）维空间光孤子[J]. J4, 2010, 27(3): 336-339.

Hao Ruiyu . (2+1)-dimensional spatial optical soliton in parameter control[J]. J4, 2010, 27(3): 336-339.

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