非均匀光纤中耦合高阶非线性薛定谔方程的自相似矢量孤子
Self-similar vector solitons for the coupled higher-order nonlinear Schrodinger equations in inhomogeneous optical fibers
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中文总结 AI 辅助
本文证明非均匀光纤中存在两类自相似矢量孤子，提出通过调节三阶色散和增益/损耗参数可精确控制其形状与强度。
中文摘要 AI 辅助
我们证明了在非均匀光纤介质中存在两类自相似矢量孤子，其中光传播由一对耦合的高阶非线性薛定谔方程控制，这些方程具有变化的二阶和三阶色散、自相位和交叉相位调制非线性、自陡峭效应以及线性增益/损耗效应。新发现的自相似波包括具有非零振幅的亮- W 形和扭结-反扭结波形。作为实际例子，我们讨论了这些孤子结构在周期性分布光纤系统以及指数色散递减光纤中的传播动力学。结果表明，增益/损耗和三阶色散的参数函数是决定自相似矢量孤子非线性动力学的关键因素。特别是，我们发现通过适当选择分布的三阶色散参数，可以实现对自相似脉冲形状和动态演化的精确控制，而增益/损耗系数则控制其强度。
英文摘要
We prove the existence of two kinds of self-similar vector solitons in an inhomogeneous optical fiber medium, where light propagation is governed by a pair of coupled higher-order nonlinear Schrodinger equations with varying second- and third-order dispersions, self- and cross-phase modulation non linearities, self-steepening, and linear gain/loss effects. The newly found self-similar waves comprise bright-W-shaped and kink-antikink waveforms with nonvanishing amplitudes. As a practical exam ple, we discuss the propagation dynamics of these soliton structures in a periodically distributed fiber system as well as an exponential dispersion-decreasing fiber. The results demonstrate that the parameter functions of gain/loss and third-order dispersion serve as a key factor in determining the nonlinear dynamics of self-similar vector solitons. In particular, we find that precise control over the shape and dynamic evolution of self-similar pulses can be achieved through a proper choice of the distributed third-order dispersion parameter, while the gain/loss coefficient controls their intensity.
发表机构
- Badji Mokhtar University（巴吉·莫赫塔尔大学）
- The University of Queensland（昆士兰大学）
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