掺杂光纤中Peregrine孤子的产生和传输  

Generation and Transmission of Peregrine Solitons in Doped Fiber

作　　者：武达[1] 王娟芬[1] 石佳[1] 张朝霞[1] 杨玲珍[1] 

机构地区：[1]太原理工大学物理与光电工程学院,山西太原030600

出　　处：《光学学报》2017年第4期63-71,共9页Acta Optica Sinica

基　　金：国家自然科学基金(61675144;61575137)

摘　　要：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 fiber, the split-step Fourier method is used to numerically study the generation and the transmission of Peregrine soliton in doped fiber. Based on the Peregrine soliton solution, the generation and the transmission of Peregrine soliton in doped fiber are discussed. The peak pulses of Peregrine soliton are extracted, the background waves are eliminated, and the transmission characteristics of high peak pulses are discussed. The results show that, when it is transmitted in doped fiber, the Peregrine soliton generates a high peak single pulse that is localized temporally and spatially, and then the high peak pulse splits rapidly to produce multiple sub-pulses. The saturated energy and the pulse peak intensity increase with the increasing small signal gain, the pulse width declines with the increasing gain, and the spatial separations of the excited sub-pulses are gradually reduced. When the background wave of the high peak pulse is eliminated, the pulse can be transmitted stably in doped fiber, the pulse width presents breath-type periodic change with periodic oscillation of the pulse intensity, and the average value of the pulse intensity is gradually increasing.

关 键 词：光纤光学 非线性光学 掺杂光纤 Peregrine孤子 非线性薛定谔方程 饱和增益 

分 类 号：O437[机械工程—光学工程]