中国物理B ›› 2007, Vol. 16 ›› Issue (2): 449-455.doi: 10.1088/1009-1963/16/2/027

• • 上一篇    下一篇

Generation and propagation of subpicosecond pulse train

张华峰, 王娟芬, 李录, 贾锁堂, 周国生   

  1. College of physics and Electronics Engineering, Shanxi University, Taiyuan 030006, China
  • 收稿日期:2006-04-26 修回日期:2006-08-21 出版日期:2007-02-20 发布日期:2007-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60477026).

Generation and propagation of subpicosecond pulse train

Zhang Hua-Feng(张华峰), Wang Juan-Fen(王娟芬), Li Lu(李录)†, Jia Suo-Tang(贾锁堂), and Zhou Guo-Sheng(周国生)   

  1. College of physics and Electronics Engineering, Shanxi University, Taiyuan 030006, China
  • Received:2006-04-26 Revised:2006-08-21 Online:2007-02-20 Published:2007-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60477026).

PDF (PC)

536

赞

摘要： Higher-order nonlinear Schr\"{o}dinger equation with the Hirota constraint conditions is considered, and an analytic solution, which can describe the modulational instability process, is presented. Based on the solution, a new pulse train without continuous wave (CW) background is generated in quadratures and the propagation of the pulse train is discussed in detail by simulating numerically. The results show that, unlike the propagation of the picosecond pulse train, under the effects of the higher-order terms, the pulse train cannot propagate along the fibre when the energy is very high; however, for some medium energy the pulse train can stably propagate. We also investigate the stability of the pulse train against violation of the Hirota conditions, and the results show that the pulse train can still propagate stably when the Hirota conditions are broken.

关键词: modulational instability, subpicosecond pulse train, Hirota equation

Abstract: Higher-order nonlinear Schr?dinger equation with the Hirota constraint conditions is considered, and an analytic solution, which can describe the modulational instability process, is presented. Based on the solution, a new pulse train without continuous wave (CW) background is generated in quadratures and the propagation of the pulse train is discussed in detail by simulating numerically. The results show that, unlike the propagation of the picosecond pulse train, under the effects of the higher-order terms, the pulse train cannot propagate along the fibre when the energy is very high; however, for some medium energy the pulse train can stably propagate. We also investigate the stability of the pulse train against violation of the Hirota conditions, and the results show that the pulse train can still propagate stably when the Hirota conditions are broken.

Key words: modulational instability, subpicosecond pulse train, Hirota equation

中图分类号:  (Ultrafast processes; optical pulse generation and pulse compression)

  • 42.65.Re
02.30.-f (Function theory, analysis) 42.65.Tg (Optical solitons; nonlinear guided waves) 42.81.Dp (Propagation, scattering, and losses; solitons)