高阶非线性对光纤中基黑孤子演化特性的变分研究  

Variational Study about Evolution Properties of Fundamental Black Soliton in Optical Fibers with Higher-nonlinear Dispersion

作　　者：张季[1] 

机构地区：[1]安徽新华学院

出　　处：《河北北方学院学报（自然科学版）》2010年第6期32-35,共4页Journal of Hebei North University:Natural Science Edition

基　　金：安徽高等学校省级自然科学研究项目(KJ2009B179Z);安徽新华学院校级教研项目(2009jy014);安徽新华学院校级科研项目(2008zr011)

摘　　要：从含修正项的非线性薛定谔方程出发,采用变分法,导出了光纤零色散附近高阶非线性微扰影响下,基黑孤子脉冲参数随传输距离变化的演化方程及其解析解.结果表明:在高阶非线性影响下,孤子脉宽比不存在高阶非线性时孤子有所展宽,但振幅、频率、脉宽不随传输距离变化而改变,因此基黑孤子能够保形传输,比明孤子具有更好的稳定性,在未来的孤子通讯中有着无比的优越性.In this paper,using the variational principle,we deduced the evolution and its resolutions of the fundamental black soliton pulse close to zero-dispersion in the single-model fibers with higher-nonlinear dispersion,based on the modified NLS equation.We find out that the frequency band width of soliton became wider than the situation without the higher order dispersion.But the amplitude and frequency band width did not change with the distance of propagation.So the fundamental black solitons stand more stable obviously than bright soliton with an overwhelming advantage in the future soliton communication.

关 键 词：高阶非线性 光纤 基黑孤子 演化特性 变分法 Optical Fibers Black 非线性薛定谔方程 传输距离 非线性影响 演化方程 脉宽比 脉冲参数 孤子通讯 优越性 修正项 稳定性 明孤子 零色散 解析解 

分 类 号：S[农业科学]