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对随机并行梯度下降(SPGD)算法校正时变相位噪声的动态过程进行数值模拟,计算不同强度和频率的相位噪声对控制带宽的影响程度,分析控制带宽与光束数目以及算法执行速度之间的关系。计算结果表明,随着相位噪声强度和频率的增加,算法的控制带宽随之减小,带宽大小与参与合成的光束数目N的-4/3次方成正比,与算法执行速度成线性关系。计算结果可为SPGD算法应用至多路高功率光纤放大器相干合成提供参考。
The numerical simulation of the dynamic process of Stochastic Parallel Gradient Decreasing (SPGD) algorithm to correct the time-varying phase noise is carried out. The effect of phase noise with different intensities and frequencies on the control bandwidth is calculated. The relationship between the control bandwidth and the number of beams and the execution speed of the algorithm . The results show that as the phase noise intensity and frequency increase, the control bandwidth of the algorithm decreases. The bandwidth is proportional to -4/3 of the number of beams N involved in the synthesis, which is linear with the execution speed of the algorithm. The calculation results can provide a reference for the application of SPGD algorithm to multi-channel high-power fiber amplifier coherent synthesis.