Propagation of dipole solitons in inhomogeneous highly dispersive optical-fiber media.
Propagation of dipole solitons in inhomogeneous highly dispersive optical-fiber media.
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DOI：
10.1103/physreve.101.042220
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发表时间：
2019-10
期刊：
影响因子：
--
通讯作者：
H. Triki;V. Kruglov
中科院分区：
文献类型：
--
作者：
H. Triki;V. Kruglov
本文研究了超短光脉冲在具有高阶色散效应的非均匀单模光纤中的传输。波的传播由广义非线性薛定谔方程控制，该方程具有不同的二阶、三阶和四阶色散、立方非线性和线性增益或损耗。我们构造了一种精确的自相似孤子解，它通过一个连接到相关的常系数的相似变换的偶极子的结构。同时给出了这些自相似结构存在的光纤参数条件。结果表明，各阶色散的贡献是形成这种自相似偶极脉冲波形的重要特征。分析了周期分布放大系统中自相似偶极孤子的动力学行为。文中还讨论了所获得的自相似脉冲的意义。通过数值模拟，发现自相似孤子解在约束条件和白色噪声初始扰动的轻微扰动下是稳定的。
We consider ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a generalized nonlinear Schrödinger equation with varying second-, third-, and fourth-order dispersions, cubic nonlinearity, and linear gain or loss. We construct a type of exact self-similar soliton solution that takes the structure of a dipole via a similarity transformation connected to the related constant-coefficients one. The conditions on the optical-fiber parameters for the existence of these self-similar structures are also given. The results show that the contribution of all orders of dispersion is an important feature to form this kind of self-similar dipole pulse shape. The dynamic behaviors of the self-similar dipole solitons in a periodic distributed amplification system are analyzed. The significance of the obtained self-similar pulses is also discussed. By performing numerical simulations, the self-similar soliton solutions are found to be stable under slight disturbance of the constraint conditions and the initial perturbation of white noise.