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
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.
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页数:5
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