三阶色散在时滞系统中的研究。

Third Order Dispersion in Time-Delayed Systems.

机构信息

Departament de Física & Institute of Applied Computing and Community Code (IAC-3),Universitat de les Illes Baleares, C/Valldemossa km 7.5, 07122 Mallorca, Spain.

Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9 & Center for Nonlinear Science (CeNoS), University of Münster, Corrensstrasse 2, D-48149 Münster, Germany.

出版信息

Phys Rev Lett. 2019 Jul 26;123(4):043902. doi: 10.1103/PhysRevLett.123.043902.

DOI:10.1103/PhysRevLett.123.043902

PMID:31491283

Abstract

Time-delayed dynamical systems materialize in situations where distant, pointwise, nonlinear nodes exchange information that propagates at a finite speed. However, they are considered devoid of dispersive effects, which are known to play a leading role in pattern formation and wave dynamics. We show how dispersion may appear naturally in delayed systems and we exemplify our result by studying theoretically and experimentally the influence of third order dispersion in a system composed of coupled optical microcavities. Dispersion-induced pulse satellites emerge asymmetrically and destabilize the mode-locking regime.

摘要

时滞动力系统出现在这样的情况下，即远距离的、点状的、非线性节点之间交换以有限速度传播的信息。然而，它们被认为没有弥散效应，而弥散效应在模式形成和波动力学中起着主导作用。我们展示了在时滞系统中如何自然地出现弥散，并通过理论和实验研究由耦合光学微腔组成的系统中三阶弥散的影响来例证我们的结果。弥散诱导的脉冲卫星呈不对称性出现，并使锁模状态失稳。