非线性Schrnger方程的算法和光学孤子相互作用的数值结果

THE ALGORITHM FOR THE NONLINEAR SCHRDINGER EQUATION AND THE NUMERlCAL RESULTS ON OPTICAL SOLITON INTERACTION

本文首先指出了算法分裂步骤(split step)Fourier法和光束传播(Pmpagating beam)法的等价性。利用这种算法,我们数字地摸拟了:1、可变等振幅孤子脉冲对在无耗光纤中的传输过程,证明提高振幅可使孤子的相互作用大大减小;2、初始等间隔的一阶孤子脉冲序列在无耗光纤中的传输过程,发现它完全不同于两个孤子脉冲的传输。

It is pointed out that the Split- step Fourier Method and the Propagating- beam Method are equivalent., and numerically calculated by the method that (a). a pair of soliton pulses propagate in a fiber with the initial equal changeable amplitudes, which shows that the interaction between solitons can be much greately reduced by raising their amplitudes; and (b). the initial equal separation first- order multi- pube series propagates in the fiber, from which a possible scheme to increase the bandwidth of an optical soliton communication system is proposed;