Abstract Starting from the extended nonlinear Schrödinger equation in which the self-steepening effect is included, the evolution and the splitting processes of continuous optical wave whose amplitude is perturbed into time related ultra-short optical pulse trains in an optical fibre are numerically simulated by adopting the split-step Fourier algorithm. The results show that the self-steepening effect can cause the characteristic of the pulse trains to vary with time, which is different from the self-steepening-free case where the generated pulse trains consist of single pulses which are identical in width, intensity, and interval, namely when pulses move a certain distance, they turn into the pulse trains within a certain time range. Moreover, each single pulse may split into several sub-pulses. And as time goes on, the number of the sub-pulses will decrease gradually and the pulse width and the pulse intensity will change too. With the increase of the self-steepening parameter, the distance needed to generate time-dependent pulse trains will shorten. In addition, for a large self-steepening parameter and at the distance where more sub-pulses appear, the corresponding frequency spectra of pulse trains are also wider.
Received: 29 February 2008
Revised: 23 May 2008
Accepted manuscript online:
PACS:
42.65.Re
(Ultrafast processes; optical pulse generation and pulse compression)
Fund: Project supported by
Key Program of Natural Science Foundation of Educational Commission
of Sichuan Province, China (Grant No 2006A124), the Fundamental
Application Research Project of the Department of Science and
Technology of Sichuan Province, China (G
Cite this article:
Zhong Xian-Qiong(钟先琼) and Xiang An-Ping(向安平) Generation of time-dependent ultra-short optical pulse trains in the presence of self-steepening effect 2009 Chin. Phys. B 18 624
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