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本文研究在含有增益色散、增益饱和、三阶色散、自频移、自陡峭等效应的光纤放大器中自相似抛物脉冲的产生和传输。结果表明,在渐近约束条件下,自相似脉冲的中心区域可用倒置的抛物脉冲来描绘,并且它的有效脉宽和功率都是线性增长的,而峰值振幅和频谱宽度保持常量。数值模拟结果与理论预期符合的非常好,这表明:在光纤放大器中,在适当的条件下初始输入脉冲可自相似地演化为抛物脉冲。
This paper studies the generation and transmission of self-similar parabolic pulses in a fiber amplifier with gain dispersion, gain saturation, third-order dispersion, self-frequency shift and self-steepness. The results show that under the asymptotic constraint, the central region of the self-similar pulse can be depicted by an inverted parabolic pulse, and its effective pulse width and power increase linearly while the peak amplitude and spectral width remain constant. The numerical simulation results are in good agreement with the theoretical one. This shows that in fiber amplifiers, the initial input pulse can evolve spontaneously into a parabolic pulse under appropriate conditions.