Modulational instability and zigzagging of dissipative solitons induced by delayed feedback

被引：10

作者：

Puzyrev, D. ^{[1
,2
]}

Vladimirov, A. G. ^{[1
,3
]}

Gurevich, S. V. ^{[4
,5
]}

Yanchuk, S. ^{[1
,2
]}

机构：

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

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

[3] Lobachevsky State Univ Nizhni Novgorod, Pr Gagarina 23, Nizhnii Novgorod 603950, Russia

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

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

来源：

PHYSICAL REVIEW A | 2016年 / 93卷 / 04期

基金：

俄罗斯科学基金会; 欧洲研究理事会;

关键词：

DIFFERENTIAL EQUATIONS; BIFURCATION-ANALYSIS; PATTERN-FORMATION; STABILITY; LASER; TRANSMISSION; DYNAMICS; CAVITY; SYSTEM;

D O I：

10.1103/PhysRevA.93.041801

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We report a destabilization mechanism of localized solutions in spatially extended systems which is induced by delayed feedback. Considering a model of a wide-aperture laser with a saturable absorber and delayed optical feedback, we demonstrate the appearance of multiple coexistent laser cavity solitons. We show that at large delays apart from the drift and phase instabilities the soliton can exhibit a delay-induced modulational instability associated with the translational neutral mode. The combination of drift and modulational instabilities produces a zigzagging motion of the solitons, which are either periodic, with the period close to the delay time, or chaotic, with low-frequency fluctuations in the direction of the soliton motion. The same type of modulational instability is demonstrated for localized solutions of the cubic-quintic complex Ginzburg-Landau equation.

引用

页数：5

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