中国物理B ›› 2006, Vol. 15 ›› Issue (8): 1831-1837.doi: 10.1088/1009-1963/15/8/034

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Effects of initial frequency chirp on the linear propagation characteristics of the exponential optical pulse

郑宏军1, 刘山亮2   

  1. (1)Department of Electronic Science and Technology, Huazhong University of Science and Technology,Wuhan 430074, China.;Institute of Optical Communication, Liaocheng University,Liaocheng 252059, China.; (2)Institute of Optical Communication, Liaocheng University,Liaocheng 252059, China.
  • 收稿日期:2005-12-31 修回日期:2006-03-18 出版日期:2006-08-20 发布日期:2006-08-20
  • 基金资助:
    Project supported by the Research Foundation of Education Department of Shandong Province,China(Grant No J05C09) and supported by the Research Foundation of Liaocheng University.

Effects of initial frequency chirp on the linear propagation characteristics of the exponential optical pulse

Zheng Hong-Jun(郑宏军)a)b) and Liu Shan-Liang (刘山亮)b)   

  1. a Department of Electronic Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China; b Institute of Optical Communication, Liaocheng University, Liaocheng 252059, China
  • Received:2005-12-31 Revised:2006-03-18 Online:2006-08-20 Published:2006-08-20
  • Supported by:
    Project supported by the Research Foundation of Education Department of Shandong Province,China(Grant No J05C09) and supported by the Research Foundation of Liaocheng University.

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摘要： In this paper, the linear propagation characteristics of the exponential optical pulse with initial linear and nonlinear frequency chirp are numerically studied in a single mode fibre for \be2<0. It can be found that the temporal full width at half maximum and time-bandwidth product of exponential pulse monotonically increase with the increase of propagation distance and decrease with the increase of linear chirp C for C<0.5, go through an initial decreasing stage near \zeta=1, then increase with the increase of propagation distance and linear chirp C for C\geq0.5. The broadening of pulses with negative chirp is faster than that with positive chirp. The exponential pulse with linear chirp gradually evolves into a near-Gaussian pulse. The effect of nonlinear chirp on waveform of the pulse is much greater than that of linear chirp. The temporal waveform breaking of exponential pulse with nonlinear chirp is first observed in linear propagation. Furthermore, the expressions of the spectral width and time-bandwidth product of the exponential optical pulse with the frequency chirp are given by use of the numerical analysis method.

关键词: fibre optics, frequency chirp, numerical analysis, exponential optical pulse

Abstract: In this paper, the linear propagation characteristics of the exponential optical pulse with initial linear and nonlinear frequency chirp are numerically studied in a single mode fibre for $\beta_2$ < 0. It can be found that the temporal full width at half maximum and time-bandwidth product of exponential pulse monotonically increase with the increase of propagation distance and decrease with the increase of linear chirp C for C < 0.5, go through an initial decreasing stage near $\zeta$ = 1, then increase with the increase of propagation distance and linear chirp C for $C\geq$ 0.5. The broadening of pulses with negative chirp is faster than that with positive chirp. The exponential pulse with linear chirp gradually evolves into a near-Gaussian pulse. The effect of nonlinear chirp on waveform of the pulse is much greater than that of linear chirp. The temporal waveform breaking of exponential pulse with nonlinear chirp is first observed in linear propagation. Furthermore, the expressions of the spectral width and time-bandwidth product of the exponential optical pulse with the frequency chirp are given by use of the numerical analysis method.

Key words: fibre optics, frequency chirp, numerical analysis, exponential optical pulse

中图分类号:  (Optical communication systems, multiplexers, and demultiplexers?)

  • 42.79.Sz
42.55.Wd (Fiber lasers) 42.60.Fc (Modulation, tuning, and mode locking) 42.65.Re (Ultrafast processes; optical pulse generation and pulse compression) 02.60.Lj (Ordinary and partial differential equations; boundary value problems)