Impact of time-delayed feedback on spatiotemporal dynamics in the Lugiato-Lefever model

被引：14

作者：

Panajotov, K. ^{[1
,8
]}

Puzyrev, D. ^{[2
]}

Vladimirov, A. G. ^{[3
,4
]}

Gurevich, S. V. ^{[5
,6
]}

Tlidi, M. ^{[7
]}

机构：

[1] VUB, B Phot, Dept Appl Phys & Photon, Pl Laan 2, B-1050 Brussels, Belgium

[2] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany

[3] Weierstrass Inst, Mohrenstr 39, D-10117 Berlin, Germany

[4] Lobachevsky Univ Nizhny Novgorod, Nizhnii Novgorod, Russia

[5] Univ Munster, Inst Theoret Phys, Wilhelm Klemm Str 9, D-48149 Munster, Germany

[6] Univ Munster, Ctr Nonlinear Sci CeNoS, Corrensstr 2, D-48149 Munster, Germany

[7] ULB, Fac Sci, Code Postal 231,Campus Plaine, B-1050 Brussels, Belgium

[8] Inst Solid State Phys, 72 Tzarigradsko Chaussee Blvd, BU-1784 Sofia, Bulgaria

来源：

PHYSICAL REVIEW A | 2016年 / 93卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

CAVITY SOLITONS; LOCALIZED STRUCTURES; PATTERNS;

D O I：

10.1103/PhysRevA.93.043835

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We analyze the impact of delayed optical feedback (OF) on the spatiotemporal dynamics of the Lugiato-Lefever model. First, we carry out linear stability analysis and reveal the role of the OF strength and phase on the shape of the bistable curve as well as on Turing, Andronov-Hopf, and traveling-wave instability regions. Further, we demonstrate how the OF impacts the spatial dynamics by shifting the regions with different spatial eigenvalue spectra. In addition, we reveal a clustering behavior of cavity solitons as a function of the OF strength at fixed OF phase. Depending on the feedback parameters, OF can also induce a drift bifurcation of a stationary cavity soliton, as well as an Andronov-Hopf bifurcation of a drifting soliton. We present an analytical expression for the threshold of the drift bifurcation and show that above a certain value of the OF strength the system enters a region of spatiotemporal chaos.

引用

页数：7

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