高阶飞秒孤子演化特性的数值研究

Numerical Study on Propagation Property of the High-order Femtosecond Soliton

本文以高阶非线性薛定谔方程为数学模型,数值研究了高阶色散和高阶非线性效应影响下高阶飞秒孤子的演化特性,并与高阶皮秒孤子的演化特性进行了比较。结果发现二阶飞秒孤子的演化特性与二阶皮秒孤子的演化特性非常相似,都具有很好的周期性;而三阶和四阶飞秒孤子的演化特性与相应的皮秒孤子的演化特性有很大不同,高阶效应的存在不同程度上破坏了三阶和四阶孤子演化的周期性。

Based on the modal of the high-order nonlinear Sehrodinger equation, the propagation property of the highorder femto second solitons under the influence of the higher-dispersion and higher-nonlinear effects was numerically investigated, and compared to that of the high-order picosecond solitons. The results show that the propagation property of second-order femtosecond soliton is similar to that of second-order picosecond soliton, which is periodic. But for third- and fourth-order femtosecond solitons, different from the corresponding ones in picosecond dimension, the higher-order effects destroy the periodicity of the propagation.