中国物理B ›› 2007, Vol. 16 ›› Issue (7): 2023-2027.doi: 10.1088/1009-1963/16/7/036

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Effect of initial linear chirp on collision characteristics of two solitons in the birefringent fibre

徐静平1, 郑宏军2, 刘山亮3   

  1. (1)Department of Electronic Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China; (2)Department of Electronic Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China;Institute of Optical Communication, Liaocheng University, Liaocheng 252059, China; (3)Institute of Optical Communication, Liaocheng University, Liaocheng 252059, China
  • 收稿日期:2006-07-09 修回日期:2006-08-13 出版日期:2007-07-20 发布日期:2007-07-04
  • 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, China.

Effect of initial linear chirp on collision characteristics of two solitons in the birefringent fibre

Zheng Hong-Jun(郑宏军)a)b)† , Liu Shan-Liang(刘山亮)b), and Xu Jing-Ping(徐静平)a)   

  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:2006-07-09 Revised:2006-08-13 Online:2007-07-20 Published:2007-07-04
  • 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, China.

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摘要： The collision characteristics of the orthogonally polarized solitons with initial linear frequency chirp in the linear birefringent fibre for \beta 2<0 are numerically studied. It is found that initial chirp changes the threshold value of solitons to form the bound-state in the birefringent fibre. The effect of initial positive chirp on the threshold value is more obvious than that of negative chirp. In the case of \delta = 0.7 and initial interval 2\tau0 = 1.25, the two solitons are mutually bound for 0.2 \le C \le 1, and they do not form the bound-state for -1 \le C<0.2. Frequency shifts increase with the increase of chirp parameter C for -1 \le C<0.2, and have the oscillatory structure for C \ge 0.2. The effect of positive chirp on temporal FWHM is greater than that of negative chirp. The peak of temporal waveform oscillates with the propagation distance. The period and amplitude of the oscillation for the chirped case are greater than those for the unchirped case, and they vary with the increase of | C| . The peak of output temporal waveform can be controlled by changing the initial chirp.

关键词: frequency chirp, solitons collision, linear birefringent fibre, soliton-bound state

Abstract: The collision characteristics of the orthogonally polarized solitons with initial linear frequency chirp in the linear birefringent fibre for $\beta_2<0$ are numerically studied. It is found that initial chirp changes the threshold value of solitons to form the bound-state in the birefringent fibre. The effect of initial positive chirp on the threshold value is more obvious than that of negative chirp. In the case of $\delta = 0.7$ and initial interval $2\tau_0=1.25$, the two solitons are mutually bound for $0.2 \le C \le 1$, and they do not form the bound-state for $-1 \le C<0.2$. Frequency shifts increase with the increase of chirp parameter C for $-1 \le C<0.2$, and have the oscillatory structure for $C \ge 0.2$. The effect of positive chirp on temporal FWHM is greater than that of negative chirp. The peak of temporal waveform oscillates with the propagation distance. The period and amplitude of the oscillation for the chirped case are greater than those for the unchirped case, and they vary with the increase of $|C|$ . The peak of output temporal waveform can be controlled by changing the initial chirp.

Key words: frequency chirp, solitons collision, linear birefringent fibre, soliton-bound state

中图分类号:  (Propagation, scattering, and losses; solitons)

  • 42.81.Dp
42.65.Tg (Optical solitons; nonlinear guided waves) 42.81.Gs (Birefringence, polarization)