Deng Zhixiang, Chen Yu, Liu Jun, Zhao Chujun, Fan Dianyuan
Opt Express. 2019 Jan 21;27(2):483-493. doi: 10.1364/OE.27.000483.
Breathing solitons, as localized wave packets with a periodic evolution in amplitude and duration, are able to model extreme wave events in complex nonlinear dispersive systems. We have numerically studied the formation and manipulation of graded-index breathing solitons embedded in nonlinear multimode fibers based on a single nonlinear Schrödinger equation that includes the spatial self-imaging effect through a periodically varying nonlinear parameter. Through changing specific parameters of the input optical field, we can manipulate the period and depth of graded-index breathing soliton dynamics under different relative strengths between the dispersion length and the self-imaging period of the multimode fiber. Our study can explicitly derive a robust mechanism to control the behavior of the breathing localized structure directly and contribute to a better understanding of the much more complex nonlinear graded-index soliton dynamics in multimode fibers.
呼吸孤子作为具有振幅和持续时间周期性演化的局域波包，能够模拟复杂非线性色散系统中的极端波事件。我们基于一个包含通过周期性变化的非线性参数实现空间自成像效应的单非线性薛定谔方程，对嵌入非线性多模光纤中的渐变折射率呼吸孤子的形成和操控进行了数值研究。通过改变输入光场的特定参数，我们可以在多模光纤的色散长度与自成像周期的不同相对强度下，操控渐变折射率呼吸孤子动力学的周期和深度。我们的研究能够直接明确地推导出一种控制呼吸局域结构行为的稳健机制，并有助于更好地理解多模光纤中更为复杂的非线性渐变折射率孤子动力学。
