色散管理和非线性管理控制光孤子群的传输

Solitons Transmission Equation of Dispersion Management and Nonlinearity Management

从描述光孤子传输的非线性薛定谔(NLS)方程出发,给出了色散管理和非线性管理的光孤子的传输方程,利用对称分步傅里叶方法对方程进行数值求解,模拟研究了色散管理和非线性管理控制光孤子在光纤中的传输演化特性。结果表明,只有色散管理控制光孤子群在光纤中的传输,随着传输距离增加,孤子间的相互作用逐渐加剧,如色散管理和非线性管理同时控制光孤子群在光纤中的传输,可极大地抑制孤子间的相互作用,且随着距离增加相邻孤子间的作用几乎不变,这一结果可应用于光孤子群远距离的传输。

Starting from the nonlinear Schrdinger （NLS） equation,the solitons transmission equation of dispersion management and nonlinearity management is given. The evolution properties of the solitons are studied by making use of symmetrical slit-step Fourier numerical method. It is shown that the interaction of the optical solitons increases with the increasing transmission distance when the solitons transmitting in the fiber are only controlled by dispersion management. When the solitons are transmitting both with the dispersion management and nonlinearity management, the interaction between adjacent solitons is greatly restrained and it has little change with the increasing transmission distance.