Stability of pulses on optical fibers with phase-sensitive amplifiers

被引：31
|
作者：
Alexander, JC
Grillakis, MG
Jones, CKRT
Sandstede, B
机构：
[1] BROWN UNIV,DIV APPL MATH,PROVIDENCE,RI 02912
[2] WIAS,D-10117 BERLIN,GERMANY
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1997年 / 48卷 / 02期
关键词：
solitons; nonlinear optical pulse propagation; optical fibers; stability;
D O I：
10.1007/PL00001473
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Pulse stability is crucial to the effective propagation of information in a soliton-based optical communication system. It is shown in this paper that pulses in optical fibers, for which attenuation is compensated by phase-sensitive amplifiers, are stable over a large range of parameter values. A fourth-order nonlinear diffusion model due to Kutz and co-workers is used. The stability proof invokes a number of mathematical techniques, including the Evans function and Grillakis' functional analytic approach.
引用
收藏
页码：175 / 192
页数：18
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