具有空间受激拉曼散射和色散及自相位调制同步空间变化的介质中的孤子动力学。

Soliton dynamics in media with space stimulated Raman scattering and synchronic spatial variation of dispersion and self-phase modulation.

机构信息

National Research University Higher School of Economics, 25/12 Bolshaja Pecherskaja Ulitsa, Nizhny Novgorod 603155, Russia.

出版信息

Chaos. 2013 Mar;23(1):013143. doi: 10.1063/1.4794433.

DOI:10.1063/1.4794433

PMID:23556980

Abstract

Solitons dynamics in the frame of the extended nonlinear Schrödinger equation taking into account space stimulated Raman scattering (SSRS), synchronic spatial variation of inhomogeneous second-order dispersion (SOD), and self-phase modulation (SPM) is considered both analytically and numerically. Compensation of soliton Raman self-wave number down shift by synchronically increasing SOD and SPM is shown. Analytical soliton solution as a result of the equilibrium of SSRS and increasing both SOD and SPM is found. Regime of the dynamical equilibrium of SSRS and inhomogeneous media with periodical variation of soliton's parameters is found. Analytical and numerical results are in a good agreement.

摘要

在考虑空间受激拉曼散射（SSRS）、非均匀二阶色散（SOD）的同步空间变化和自相位调制（SPM）的扩展非线性薛定谔方程框架内，对孤子动力学进行了分析和数值研究。结果表明，通过同步增加 SOD 和 SPM 可以补偿孤子拉曼自波数下移。通过 SSRS 和同时增加 SOD 和 SPM 的平衡，找到了孤子的解析解。发现了 SSRS 和具有孤子参数周期性变化的非均匀介质的动力学平衡状态。分析和数值结果吻合良好。