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)
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
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.
Received: 09 July 2006
Revised: 13 August 2006
Accepted manuscript online:
Fund: 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.
Cite this article:
Zheng Hong-Jun(郑宏军), Liu Shan-Liang(刘山亮), and Xu Jing-Ping(徐静平) Effect of initial linear chirp on collision characteristics of two solitons in the birefringent fibre 2007 Chinese Physics 16 2023
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