从修正的非线性Schr(o)dinger方程出发,采用变分法,导出了在三阶色散情况下超高斯型脉冲参数随传输距离的演化方程组及其解,讨论了三阶色散对光纤中不同锐度超高斯脉冲传输特性的影响.求出了振幅与脉宽、脉宽与啁啾、啁啾与频率及中心位置之间的三个解析约束关系,得出了脉宽随传输距离演化的解析解,用龙格-库塔法进行数值求解描绘了不同锐度下三阶色散对光纤中超高斯脉冲脉宽的影响.结果表明:振幅和脉宽满足绝热特性,色散系数增大到0.3或脉冲前后沿锐度系数m≥3时,脉冲信号便会明显地展宽,其周期也大幅度地变大.
参考文献
| [1] | Agrawal G P.Nonlinear Fiber Optics[M].San'Diego,Calif.:Academic Press,2002. |
| [2] | Zhong Xianqiong,Xiang Anping.Effects of group-velocity mismatch and cubic-quintic nonlinearity on cross-phase modulation instability in optical fibers[J].Chin.Opt.Lett.,2007,5(9):534-536. |
| [3] | Tai K,Hasegawa A,Tamita A.Observation of modulation instability in optical fibers[J].Phys.Rev.Lett.,1986,56(1):135-138. |
| [4] | Zheng Hongjun,Liu Shanliang,Li Xin,et al.Autocorrelation characteristics of super-Gaussian optical pulse[J].Chinese Journal of Lasers(中国激光),2007,34(7):908-914(in Chinese). |
| [5] | Guo Fangjun,Xia Guangqiong,Ling Xiaodong.Transmission characteristics of chirped super-Gaussian optical pulse in the single-mode optical fiber[J].Laser Journal(激光杂志),2007,4:56-57(in Chinese). |
| [6] | Liu Jinlong,Chen Jinhua,Li Hal,et al.Family of super-Ganssian beamsspatial optical solitons in strong non-local nonlinear media[J].Acta Optica Sinica(光学学报),2007,27(7):1261-1265(in Chinese). |
| [7] | Anderson D.Variational approach to nonlinear pulse propagation in optical fibers[J].Phys.Rev.A,1983,27(6):3135-3145. |
| [8] | Bondeson A,Lisak M,Anderson D.SoUton perturbations:a variational principle for the parameters[J].Physica Script,1979,20:479-485. |
| [9] | Li Qiliang,Li Qingshan,Lin Libin.Soliton-like pulse timing jitter in dispersion-managed systems[J].Chin.Phys.,2006,15:2306-2314. |
| [10] | Xie Yingmao.A variational study on the propagation properties of optical bright-soliton-like pulses in optical fibers[J].Acta Optica Siniea(光学学报),2004,24(4):452-455(in Chinese). |
| [11] | Sang Zhiwen,Luo Kaiji,Sang Minghuang,et al.Influence of the third-order dispersion on the propagation properties of Gaussian-shaped pulses in optical fibers[J].Chinese Journal of Quantum Electronics(量子电子学报),2005,22(6):946-948(in Chinese). |
| [12] | Hasegawa A,Kumar S,Kodama Y.Reduction of collision-induced time jitters in dispersion-managed soliton transmission systems[J].Opt.Lett.,1996,12(1):39-41. |
| [13] | Yang Xianglin,Wen Yangjin.Fundamental Theories of Optical Fiber Soliton Communications[M].Beijing:National Defense Industry Press,2000:1-16(in Chinese). |
| [14] | Hasegawa A,Kodama Y.Soliton in Optical Communications[M].Oxford:Oxford University Press,1995. |
| [15] | Biswas A.Super-Gaussian soliton in optical fibers[J].Fiber and Integrated Optics,2002,21:115-124. |
| [16] | Gan Guirong,Luo Kaiji.Variational study on influence of high-order dispersion and fifth-order nonlinearity on propagation properties of Gaussian pulse in optical fibers[J].Acta Optica Sinica(光学学报),2008,28(6):1041-1046 (in Chinese). |
| [17] | Gan Guirong,Luo Kaiji.The influence of the initial chirp on the propagation properties of super-Ganssian pulses in the single-mode optical fibers[J].Chinese Journal of Quantum Electronics(量子电子学报),2009,26(1):111-115 (in Chinese). |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%