The saturated gain performance of the two-pump fiber optical parametric amplifier (2-P FOPA) in the presence of random dispersion fluctuation as well as fourth-order dispersion coefficient are investigated. The gain spectra of the 2-P FOPA is simulated by solving the coupled equations numerically, considering the dispersion fluctuations along the fiber as a stochastic process with a given standard deviation and correlation length. The gain performance of 2-P FOPA is analysed with the variation of correlation length, standard deviation and fourth-order dispersion coefficient, respectively. It shows that, the gain saturation curves of 2-P FOPA exhibit obvious differences in the presence of dispersion fluctuations and fourth-order dispersion coefficients. The peak gain reduces with the increase of the standard deviation and the reduction is higher in case of shorter correlation lengths, also the variations of 2-P FOPA saturation powers are affected by the standard deviation and correlation length significantly. In addition, the performance of the 2-P FOPA varies greatly while considering the fourth-order dispersion coefficient, where the peak gain remains the same, but the 3 dB bandwidth is wider with considering the fourth-order dispersion coefficient. The numerical analysis is meaningful for the research of 2-P FOPA saturated gain performance, which having attracted great research interests in the optical fiber communication systems.

研究了在存在随机色散波动以及四阶色散系数的情况下两泵光纤参量放大器（2-P FOPA）的饱和增益性能。通过数值求解耦合方程来模拟2-P FOPA的增益谱，将沿着光纤的色散波动视为具有给定标准偏差和相关长度的随机过程。利用相关长度，标准差和四阶色散系数的变化分别分析了2-P FOPA的增益性能。结果表明，在存在色散波动和四阶色散系数的情况下，2-P FOPA的增益饱和曲线存在明显差异。峰值增益随着标准偏差的增加而减小，并且在相关长度越短的情况下减小幅度越大，而且2-P FOPA饱和功率的变化也受到标准偏差和相关长度的影响。此外，考虑到四阶色散系数时，2-P FOPA的性能变化很大，其中峰值增益保持不变，但考虑到四阶色散系数，则3 dB带宽更宽。数值分析对于2-P FOPA饱和增益性能的研究具有重要意义，在光纤通信系统中引起了极大的研究兴趣。此外，考虑到四阶色散系数时，2-P FOPA的性能变化很大，其中峰值增益保持不变，但考虑到四阶色散系数，则3 dB带宽更宽。数值分析对于研究2-P FOPA饱和增益性能具有重要意义，在光纤通信系统中引起了广泛的研究兴趣。此外，考虑到四阶色散系数时，2-P FOPA的性能变化很大，其中峰值增益保持不变，但考虑到四阶色散系数，则3 dB带宽更宽。数值分析对于研究2-P FOPA饱和增益性能具有重要意义，在光纤通信系统中引起了广泛的研究兴趣。