相干合成中多抖动相位锁定算法  

Performance of multi-frequency dithering algorithm in coherent beam combination

作　　者：高恒 李炳霖 杨依枫[1] 何兵[1] Gao Heng;Li Binglin;Yang Yifeng;He Bing(Shanghai Key Laboratory of All Solid-State Laser and Applied Techniques,Shanghai Institute of Optics and Fine Mechanics,Chinese Academy of Sciences,Shanghai 201800,China;School of Optical and Electronic Information,Huazhong University of Science and Technology,Wuhan 430074,China)

机构地区：[1]中国科学院上海光学精密机械研究所,上海市全固态激光器与应用技术重点实验室,上海201800 [2]华中科技大学光学与电子信息学院,武汉430074

出　　处：《强激光与粒子束》2023年第4期109-117,共9页High Power Laser and Particle Beams

基　　金：国家重点研发计划项目(2018YFB0504500);中国科学院青年创新促进会项目(2020252)。

摘　　要：分析了多抖动算法的工作原理,通过波动光学原理以2-11路相干合成系统作为数学模型进行仿真模拟,引入了动态噪声模型,以总合成光束的均方根相位误差作为评价函数,分析了不同阵列规模下的相干合成系统中噪声频率以及噪声振幅对系统相位锁定效果的影响,当噪声频率或噪声振幅过大,超出算法补偿相位噪声的能力时,便会锁相失败。证明了增益系数与调制振幅存在一个最优区间且只有处于该区间内时,才能快速完成锁相。引入有效控制带宽概念,用以直观评价多抖动算法的锁相性能,研究表明,有效控制带宽与采样频率、第一路调制频率成正比例,与噪声振幅成反比例,且随着阵列规模增大,有效控制带宽降低。The principle of the multi-frequency dithering algorithm is analyzed.The 2-11 channel coherent combining system is simulated as a mathematical model based on the principle of wave optics.The dynamic noise model is introduced,and the root-mean-square(RMS)phase error of the totally combined beam is taken as the evaluation function.The effects of noise frequency and amplitude on the phase locking effect of coherent combining system with different arrays are analyzed.When the noise frequency or amplitude is very large,the algorithm can no longer compensate the phase noise,the phase locking will fail.It is proved that there is an optimal interval between the gain coefficient and the modulation amplitude and only within this interval can phase locking be completed quickly.By introducing the concept of effective bandwidth control,the phase-locking performance of the multi-frequency algorithm has been evaluated intuitively.The research shows that the effective control bandwidth is directly proportional to the sampling frequency and the first-way modulation frequency,and inversely proportional to the noise amplitude,and the effective control bandwidth decreases with the increase of array size.

关 键 词：相干合成 主动相位锁定 多抖动算法 光纤激光 均方根相位误差 

分 类 号：O436[机械工程—光学工程]