Instabilities of optical solitons and Hamiltonian singular solutions in a medium of finite extension

被引：5

作者：

Assemat, E. ^{[1
]}

Picozzi, A. ^{[1
]}

Jauslin, H. R. ^{[1
]}

Sugny, D. ^{[1
]}

机构：

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

来源：

PHYSICAL REVIEW A | 2011年 / 84卷 / 01期

关键词：

POLARIZATION ATTRACTION; COUNTERPROPAGATING WAVES; FIBER;

D O I：

10.1103/PhysRevA.84.013809

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We analyze the role of soliton solutions and Hamiltonian singularities in the dynamics of counterpropagating waves in a medium of finite spatial extension. The soliton solution can become unstable due to the finite extension of the system. We show that the spatiotemporal dynamics then relaxes toward a Hamiltonian singular state of a nature different than that of the soliton state. This phenomenon can be explained through a geometrical analysis of the singularities of the stationary Hamiltonian system.

引用

页数：4

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