光孤子对的振幅比与相位差对传输的影响

Effect of amplitude proportion and phase difference on propagation of optical soliton pair

利用分步傅里叶变换法分别求解含三阶色散效应和不考虑三阶色散情况下的光孤子非线性薛定谔(NLS)方程,通过数值求解发现三阶色散效应会使孤子对脉冲发生单边振荡,并在振荡侧逐级产生次脉冲。讨论孤子对的两束孤子脉冲之间的振幅比与相位差对传输的影响,发现在不考虑三阶色散的情况下,振幅比与相位差均对孤子对的传输有显著影响,在考虑三阶色散效应时,只有相位差对孤子对的传输产生影响,并可以导致脉冲能量转移。

The optical soliton nonlinear Schrodinger （NLS） equations with three-order dispersion effect and without three-order dispersion effect were respectively resolved with the split-step Fourier transform method （SSFM）. It is found by the numerical solution that the three-order dispersion effect may cause the soliton pair pulse to oscillate on a single side and may produce the sub pulse in the oscillating side; and also found that the phase difference and amplitude proportion play an important role when there is no effect of three-order dispersion, but only phase difference results in the obvious influence on the propagation of soliton pair while there is the three-order dispersion effect, and it can make energy transfer. The effect of amplitude proportion and the phase difference between two soliton pulses on the propagation of soliton pair is discussed.