Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-07-01 DOI:10.1093/imamat/hxab031

P Parra-Rivas;E Knobloch;L Gelens;D Gomila

引用次数: 13

Abstract

Localized coherent structures can form in externally driven dispersive optical cavities with a Kerr-type non-linearity. Such systems are described by the Lugiato–Lefever (LL) equation, which supports a large variety of dynamical states. Here, we review our current knowledge of the formation, stability and bifurcation structure of localized structures in the one-dimensional LL equation. We do so by focusing on two main regimes of operation: anomalous and normal second-order dispersion. In the anomalous regime, localized patterns are organized in a homoclinic snaking scenario, which is eventually destroyed, leading to a foliated snaking bifurcation structure. In the normal regime, localized structures undergo a different type of bifurcation structure, known as collapsed snaking. The effects of third-order dispersion and various dynamical regimes are also described.

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克尔色散光学腔中局域态的起源、分岔结构和稳定性

局域相干结构可以在具有克尔型非线性的外部驱动色散光学腔中形成。这类系统由Lugiato–Lefever（LL）方程描述，该方程支持多种动力学状态。在这里，我们回顾了我们目前对一维LL方程中局部结构的形成、稳定性和分岔结构的认识。我们通过关注两种主要的操作模式来做到这一点：反常和正常的二阶色散。在异常状态下，局部模式被组织成同宿蛇形场景，最终被破坏，导致叶理蛇形分叉结构。在正常状态下，局部结构经历了一种不同类型的分叉结构，称为塌陷蛇形。还描述了三阶色散和各种动力学状态的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.