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。

The generation and propagation of asymptotic parabolic pulse in optical fiber amplifier with the gain dispersion effect, gain saturation effect, third-order dispersion (TOD), self-steepening, and self-frequency shift are studied. The results show that, in the asymptotic constraint conditions, the central region of the self-similar pulse is described by the invert parabola, and its effective width and power increase linearly, while the peak amplitude and the width of its spectrum remains constant. Numerical simulation agrees quite well with the asymptotic theoretic predictions in the central part of the pulse. It is demonstrated that, in optical fiber amplifiers, initial input pulses can evolve into self-similar pulses at the appropriate conditions.