Higher-Order Modulation Instability in Nonlinear Fiber Optics

被引：196

作者：

Erkintalo, Miro ^{[1
]}

Hammani, Kamal ^{[2
]}

Kibler, Bertrand ^{[2
]}

Finot, Christophe ^{[2
]}

Akhmediev, Nail ^{[3
]}

Dudley, John M. ^{[4
]}

Genty, Goery ^{[1
]}

机构：

[1] Tampere Univ Technol, Opt Lab, FI-33101 Tampere, Finland

[2] Univ Bourgogne, CNRS, UMR 5209, Lab Interdisciplinaire Carnot Bourgogne, F-21078 Dijon, France

[3] Australian Natl Univ, Res Sch Phys & Engn, Canberra, ACT 0200, Australia

[4] Univ Franche Comte, CNRS, UMR 6174, Inst FEMTO ST, F-25030 Besancon, France

来源：

PHYSICAL REVIEW LETTERS | 2011年 / 107卷 / 25期

基金：

澳大利亚研究理事会; 芬兰科学院;

关键词：

SCHRODINGER-EQUATION; PEREGRINE SOLITON; WAVE; GENERATION;

D O I：

10.1103/PhysRevLett.107.253901

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We report theoretical, numerical, and experimental studies of higher-order modulation instability in the focusing nonlinear Schrodinger equation. This higher-order instability arises from the nonlinear superposition of elementary instabilities, associated with initial single breather evolution followed by a regime of complex, yet deterministic, pulse splitting. We analytically describe the process using the Darboux transformation and compare with experiments in optical fiber. We show how a suitably low frequency modulation on a continuous wave field induces higher-order modulation instability splitting with the pulse characteristics at different phases of evolution related by a simple scaling relationship. We anticipate that similar processes are likely to be observed in many other systems including plasmas, Bose-Einstein condensates, and deep water waves.

引用

页数：5