Abstract
In this paper, based on a variable-coefficient nonlinear Schrödinger (vcNLS) equation, amplification of the fundamental and second-order unchirped solitons in the dispersion-decreasing fiber without any external amplification device, which is different from those in the existing literatures, is studied. Via symbolic computation, soliton solutions of the vcNLS equation are obtained. For a fundamental-soliton pulse, the amplitude is amplified by the gain during the propagation, whereas the width keeps unchanged. Because of the equilibrium between the gain, nonlinearity and varying dispersion, soliton structure is not destroyed, and the amplified fundamental soliton is free from the pedestal and chirp. With the increase of the absolute value of the gain coefficient \(\alpha \), magnification of the fundamental-soliton amplitude is enhanced in the same propagation distance. For the second-order soliton, the width is compressed and the amplitude is amplified, because the amplification process is accompanied by the compression of the soliton. Period of the second-order soliton decreases exponentially during the propagation, and decreases with the increase of the absolute value of \(\alpha \) in the same propagation distance.
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Acknowledgments
We express our sincere thanks to all the members of our discussion group for their valuable comments. This work has been supported by the National Natural Science Foundation of China under Grant No. 11272023, by the Open Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications) under Grant No. IPOC2013B008, and by the Fundamental Research Funds for the Central Universities of China under Grant No. 2011BUPTYB02.
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Zhong, H., Tian, B., Jiang, Y. et al. On the amplification of unchirped soliton pulses in a dispersion-decreasing fiber. Opt Quant Electron 47, 139–147 (2015). https://doi.org/10.1007/s11082-014-9892-4
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DOI: https://doi.org/10.1007/s11082-014-9892-4