自傅里叶光孤子与自傅里叶高斯光脉冲的混合传输

Mixed Transmission of Self-Fourier Optical Soliton and Self-Fourier Gauss Optical Pulse

对一阶自傅里叶光孤子混合对信号在光纤中的演变和传输进行了数值模拟研究。所用方法为利用分步傅立叶变换方法数值求解非线性薛定谔方程,文中并证明了算法内部不存在理论误差。结果表明:一阶孤子与微扰的一阶孤子的相互作用以及一阶孤子对的初值稳定性依赖于起始输入的不同结构形式。一阶自傅里叶孤子混合对中的相互作用表现不同于一阶标准孤子混合对,它类似于二阶或准二阶孤子的相互作用特性;孤子相互作用特性不足以用孤子的阶去区分或分类。

The evolution and transmission of one-order self-Fourier soliton mixed pairs signal in optical fibers is studied numerically. In terms of split-step Fourier transform method, the numerical solution of nonlinear Schrodinger equation is gotten. It is proved that there is not any theoretical error in the inner part of algorithm. The results show that： the interaction between one-order soliton and disturbing one-order soliton and stability of the solution to the initial value problem of the one-order soliton pairs depend on the different structure forms of initial input. The interaction in one-order self-Fourier soliton mixed pairs is different from one-order standard soliton mixed pairs. The interaction in one-order self-Fourier soliton mixed pairs is similar to two-order soliton or quasi-soliton. It is not enough to recognize and classify the characteristics of interaction between solitons according to the order of soliton.