量子电子学报, 2018, 35 (2): 204, 网络出版: 2018-04-23
Kerr色散和内Raman散射对孤子传输特性的影响
Influence of Kerr dispersion and intrapulse Raman scattering on propagation characteristics of solitons
非线性光学 非线性薛定谔方程 高斯脉冲 变分法 自频移 Kerr色散 nonlinear optics nonlinear Schro ¨dinger equation Gaussian pulse variational method self-frequency shift Kerr dispersion
摘要
采用变分法求解了包含由Kerr色散项、脉冲内Raman散射引起的自频移(SFS)项的高阶非线性薛定谔方程。 推导了不同参数下高斯脉冲参量随传输距离的演化方程,得到了脉宽与振幅、脉宽与啁啾之间的约束关系。 结果表明在合适的参数设定下孤子中心频率不变,不产生抖动; 特定条件下自频移项和Kerr色散效应相互抵消,脉冲在一定距离内以呼吸子的形式稳定传播。
Abstract
Higher order nonlinear Schro ¨dinger equation including Kerr dispersion term, self-frequency shift (SFS) term caused by intrapulse Raman scattering is solved by variational method. Evolution equations of Gaussian pulse parameters with propagation distance under different parameters are derived. Constraint relations between pulse width and amplitude, pulse width and chirp are obtained. Results show that the soliton center frequency does not change under the appropriate parameter setting and there’s no jitter. Under certain conditions, the self-frequency shift and Kerr dispersion effects cancel out each other, the pulses propagate stably in the form of breather within a certain distance.
黄峻堃, 张少武. Kerr色散和内Raman散射对孤子传输特性的影响[J]. 量子电子学报, 2018, 35(2): 204. HUANG Junkun, ZHANG Shaowu. Influence of Kerr dispersion and intrapulse Raman scattering on propagation characteristics of solitons[J]. Chinese Journal of Quantum Electronics, 2018, 35(2): 204.