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二维无粘性复金兹堡 - 朗道方程中孤子间碰撞的相位控制

Phase controlling of collisions between solitons in the two-dimensional complex Ginzburg-Landau equation without viscosity.

作者信息

Liu Bin, He Xing-Dao, Li Shu-Jing

机构信息

Key Laboratory of Nondestructive Test (Ministry of Education), Nanchang Hangkong University, Nanchang, People's Republic of China.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Nov;84(5 Pt 2):056607. doi: 10.1103/PhysRevE.84.056607. Epub 2011 Nov 15.

DOI:10.1103/PhysRevE.84.056607
PMID:22181536
Abstract

We present a systematic analysis of the outcome of soliton collisions upon variation of the relative phase φ of the solitons, in the two-dimensional cubic-quintic complex Ginzburg-Landau equation in the absence of viscosity. Three generic outcomes are identified: merger of the solitons into a single one, creation of an extra soliton, and quasielastic interaction. The velocities of the merger soliton and the extra soliton can be effectively controlled by φ. In addition, the range of the outcome of creating an extra soliton decreases to zero with the reduction of gain or the increasing of loss. The above features have potential applications in optical switching and logic gates based on interaction of optical solitons.

摘要

我们对无粘性的二维三次-五次复金兹堡-朗道方程中,孤子相对相位φ变化时孤子碰撞的结果进行了系统分析。确定了三种一般结果:孤子合并为单个孤子、产生额外孤子以及准弹性相互作用。合并孤子和额外孤子的速度可通过φ有效控制。此外,随着增益减小或损耗增加,产生额外孤子的结果范围减小至零。上述特性在基于光孤子相互作用的光开关和逻辑门中有潜在应用。

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