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.
Received: 26 April 2006
Revised: 21 August 2006
Accepted manuscript online:
PACS:
42.65.Re
(Ultrafast processes; optical pulse generation and pulse compression)
Fund: Project supported by the
National Natural Science Foundation of China (Grant No 60477026).
Cite this article:
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) Generation and propagation of subpicosecond pulse train 2007 Chinese Physics 16 449
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