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arXiv 2401.16629nlin.PS
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双折射光纤中孤子与周期波列的产生

Generation of solitons and periodic wave trains in birefringent optical fibers

Houria Triki, Vladimir I. Kruglov

AI总结:

本研究针对双折射光纤中光传播的耦合非线性薛定谔方程,分析了群速度色散与三阶非线性下的各类包络孤子及周期波解,发现多种孤子在正常与反常色散区均存在,揭示了该介质丰富的非线性波特性。

摘要:

我们研究了双折射光纤中所有可能类型的包络孤子脉冲的存在性与传播特性,该光纤中的光传播由两个带有相干和非相干非线性耦合的耦合非线性薛定谔(Schrödinger)方程支配。我们特别研究了群速度色散和三阶非线性效应影响下的光孤子存在性,这两类效应在椭圆芯光纤的研究中具有物理相关性。结果表明,该波导介质支持多种传播型包络孤子的存在,包括偶极-亮、亮-偶极、亮-暗、暗-亮、W型-偶极以及偶极-W型脉冲,它们展现出不同的特性。有趣的是,我们发现所得的孤子对在正常色散和反常色散区域均成立。我们还识别出了一大类精确解析的周期(椭圆)波解。这说明双折射光纤介质中可能存在丰富的局域脉冲与非线性周期波。

英文摘要:

We investigate the existence and propagation properties of all possible types of envelope soliton pulses in a birefringent optical fiber wherein the light propagation is governed by two coupled nonlinear Schrodinger equations with coherent and incoherent nonlinear couplings. Especially, we study the existence of optical solitons under the influence of group-velocity dispersion and third-order nonlinearity, which have physical relevance in the context of elliptical core optical fiber. The results show that the waveguiding medium supports the existence of a wide variety of propagating envelope solitons, including dipole-bright, bright-dipole, bright-dark, dark-bright, W-shaped-dipole and dipole-W-shaped pulses which exhibit different characteristics. Interestingly, we find that the obtained soliton pairs are allowable in both the normal and anomalous dispersion regimes. A wide class of exact analytic periodic (elliptic) wave solutions are identified. This illustrates the potentially rich set of localized pulses and nonlinear periodic waves in birefringent optical fiber media.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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