关键词: 艾里脉冲/
拉曼增益/
自陡峭效应/
自加速特性
English Abstract
Influences of Raman gain and self-steepening on the propagation characteristic of Airy pulse
Zhu Kun-Zhan,Jia Wei-Guo,
Zhang Kui,
Yu Yu,
Zhang Jun-Ping
1.School of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China
Fund Project:Project supported by the National Science Foundation of China (Grant No. 61167004) and the National Science Foundation of Inner Mongolia, China (Grant No. 2014MS0104).Received Date:21 October 2015
Accepted Date:17 December 2015
Published Online:05 April 2016
Abstract:By using nonlinear Schrdinger equation including Raman gain and self-steepening but ignoring fiber loss situation, the propagation characteristics of Airy pulse are simulated and analyzed in the single-mode fiber. Simulations show that Airy pulse can be converted into soliton and its propagation direction is skewed due to the effects of Raman gain and self-steepening under a certain condition. In time domain, the number of small peaks of Airy pulse reduces rapidly. Airy pulse becomes a peak structure containing a main peak and sub-peaks where the energies can be ignored by changing the coefficient a reasonablely, which is approximated as the soliton structure. Therefore, Airy pulse is regarded as transforming into soliton. Meanwhile, in the case of small values b, there exists a significant difference in shape between Airy pulse and soliton. With the value of parameter b increasing slowly, the shape of Airy pulse is very close to soliton's, therefore Airy pulse can transform into soliton by changing value b reasonablely. Compared with by changing b value, Airy pulse convered into the soliton is stable by changing the a value reasonablely. Simultaneously, with the increases of values of coefficient a and amplitude b, the time-shift of Airy pulse increases. However, the time-shift of Airy pulse would decrease when Raman gain and Self-steepening become strong, no matter what the values of a and b are. Further, the acceleration properties of Airy pulse are investigated. It is found that Airy pulse autoacceleration is not a stable value at the beginning but it gradually stabilizes with the increase of transmission distance. The reason is that the energies of secondary peaks exert a tremendous influence on the main lobe of Airy pulse at the beginning, however, secondary peaks diffuse fast with the increase of transmission and then the influence can be ignored to a certain extent. So, the main peak gradually stabilizes with the increase of transmission distance.
Keywords: Airy pulse/
Raman gain/
self-steepening/
self-acceleration characteristics
