| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Intermediate Self-similar Solutions of the Nonlinear Schrödinger Equation with an Arbitrary Longitudinal Gain Profile |
ZHAO Wei, LU Ke-Qing, ZHANG Yi-Qi, YANG Yan-Long, WANG Yi-Shan, LIU
Xue-Ming |
| State Key Laboratory of Transient Optics and Photonics, Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an 710068 |
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| Cite this article: |
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ZHAO Wei, LU Ke-Qing, ZHANG Yi-Qi et al 2009 Chin. Phys. Lett. 26 044213 |
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Abstract We study pulse propagation in a normal-dispersion optical fibre amplifier with an arbitrary longitudinal gain profile by self-similarity techniques. We show the functional form of the development of low-amplitude wings on the parabolic pulse, which are associated with the evolution of an arbitrary input pulse to the asymptotic parabolic pulse solution. It is found that for the increasing gain the amplifier output corresponding to the input Gaussian pulse converges to the asymptotic parabolic pulse solution more quickly than the output obtained with the input hyperbolic secant pulse, whereas for the decreasing gain the input pulse profiles have nearly no effect on the speed of convergence to the parabolic pulse solution. These theoretical results are confirmed by numerical simulations.
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| Keywords:
42.81.Dp
42.65.Re
47.20.Ky
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Received: 04 August 2008
Published: 25 March 2009
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| PACS: |
42.81.Dp
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(Propagation, scattering, and losses; solitons)
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42.65.Re
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(Ultrafast processes; optical pulse generation and pulse compression)
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47.20.Ky
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(Nonlinearity, bifurcation, and symmetry breaking)
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