Stabilization of ultra-short pulses in cubic nonlinear media

被引：9
|
作者：
Chung, Y. [1 ]
Schafer, T.
机构：
[1] So Methodist Univ, Dept Math, Dallas, TX 75275 USA
[2] CUNY Coll Staten Isl, Dept Math, Staten Isl, NY 10314 USA
来源：
PHYSICS LETTERS A | 2007年 / 361卷 / 1-2期
基金：
美国国家科学基金会;
关键词：
nonlinear pulse propagation; ultra-short pulses; solitary waves;
D O I：
10.1016/j.physleta.2006.08.087
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the propagation of ultra-short pulses in a cubic nonlinear medium. Using multiple-scale technique, we derive a new, wave equation that preserves the nonlocal dispersion terms present in Maxwell's equations. As a result, we are able to understand how ultra-short nonlinear shocks are stabilized by dispersive terms. A delicate balance between dispersion and nonlinearity leads to a new type of solitary waves. Their stability is confirmed by numerical simulations of full Maxwell's equations. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：63 / 69
页数：7
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