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基于光脉冲在掺杂光纤中的传输模型,采用分步傅里叶方法对Peregrine孤子在掺杂光纤中的产生和传输进行数值研究。基于Peregrine孤子解,讨论Peregrine孤子在掺杂光纤中的产生和传输;提取Peregrine孤子的峰值脉冲,消去背景波,研究高峰值脉冲的传输特性。结果表明,Peregrine孤子在掺杂光纤中传输时,会激发产生一个在时间和空间上都局域化的高峰值单脉冲,随后迅速分裂产生多个子脉冲;小信号增益越大,饱和能量越高,脉冲峰值强度越强,脉宽越小,激发产生的子脉冲空间间隔也不断减小;消去高峰值脉冲的背景波后,脉冲在掺杂光纤中可以稳定传输,脉宽呈呼吸式周期变化,脉冲强度呈周期性振荡,且脉冲强度的平均值不断增加。
Based on the propagation model of optical pulse in doped optical fiber, the generation and transmission of Peregrine soliton in doped optical fiber are studied numerically by the method of step Fourier. Based on the Peregrine soliton solution, the generation and transmission of Peregrine solitons in doped optical fiber are discussed. The peak pulse of Peregrine soliton is extracted and the background wave is eliminated to study the transmission characteristics of high peak pulse. The results show that when Peregrine solitons are transported in doped optical fiber, a spike of high peak which is localized in time and space will be excited and then split rapidly to generate multiple sub-pulses. The larger the small signal gain, the higher the saturation energy , The stronger the pulse peak intensity is, the smaller the pulse width is and the smaller the space interval of the sub pulse generated by excitation is. The pulse can be stably transmitted in the doped fiber after removing the background wave of the high peak pulse, the pulse width changes periodically , The pulse intensity is periodically oscillating, and the average value of the pulse intensity is continuously increasing.