近日，法国里尔大学的Andrea Armaroli及其研究小组取得一项新进展。经过不懈努力，他们揭示了随机色散管理光纤链路中的调制不稳定性机制。相关研究成果已于2023年8月15日在国际知名学术期刊《物理评论A》上发表。

该研究团队研究了色散管理光纤系统中的调制不稳定性，其中群速度色散的符号在参考长度周围均匀分布的随机距离上发生变化。研究人员发现，随机性起源的不稳定增益与在均匀异常色散光纤中发现的常规值相当。他们发展了一种基于传递矩阵的精确解析技术，用于估计线性化的非线性薛定谔方程的不稳定增益，并对其进行了数值求解。

数值结果与分析结果的比较证实了该方法的有效性。在研究中，该团队发现出现了纯随机性起源的调制不稳定边带。随后，他们讨论了周期性和随机性起源的边带之间的竞争。这些结果可能对定制和控制电信以及参数源的调制不稳定边带具有重要意义。

此外，这一研究方法也可以应用于一般的线性随机微分方程的乘性噪声，这在物理学中广泛出现。

附：英文原文

Title: Modulational instability in randomly dispersion-managed optical fiber links

Author: Andrea Armaroli, Guillaume Dujardin, Alexandre Kudlinski, Arnaud Mussot, Stephan De Bièvre, Matteo Conforti

Issue&Volume: 2023/08/15

Abstract: We study modulational instability in a dispersion-managed optical fiber system where the sign of the group-velocity dispersion is changed at uniformly distributed random distances around a reference length. We find an instability gain of stochastic origin comparable to the conventional values found in a homogeneous anomalous dispersion fiber. We develop an accurate analytical technique based on transfer matrices to estimate the instability gain from the linearized nonlinear Schrdinger equation, which is also solved numerically. The comparison of numerical and analytical results confirms the validity of our approach. Modulational instability sidebands of purely stochastic origin appear and the competition between sidebands of periodic and stochastic origin is also discussed. These results may be of interest in tailoring and controlling modulational instability sidebands for telecommunications and parametric sources. Our method can also be applied to general linear stochastic differential equations with multiplicative noise, which broadly occur in Physics.

DOI: 10.1103/PhysRevA.108.023510

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.108.023510