相干合成中多抖动相位锁定算法

高恒; 李炳霖; 杨依枫; 何兵

doi:10.11884/HPLPB202335.220285

相干合成中多抖动相位锁定算法

doi: 10.11884/HPLPB202335.220285

高恒^{1, 2,},
李炳霖¹,
杨依枫^1, ,,
何兵^1, ,

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

基金项目: 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)

详细信息

作者简介:
高　恒，m202072514@hust.edu.cn

通讯作者:
杨依枫，yfyang@siom.ac.cn

何　兵，bryanho@siom.ac.cn

中图分类号: O436
计量
- 文章访问数: 550
- HTML全文浏览量: 196
- PDF下载量: 95
- 被引次数: 0
出版历程
- 收稿日期: 2022-09-08
- 修回日期: 2023-01-11
- 录用日期: 2023-01-06
- 网络出版日期: 2023-03-28
- 刊出日期: 2023-03-30

Performance of multi-frequency dithering algorithm in coherent beam combination

Gao Heng^{1, 2
,},
Li Binglin¹,
Yang Yifeng^{1
, ,},
He Bing^{1
, ,}

1.
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
2.
School of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan 430074, China

摘要

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。
- 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
Abstract: 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.
- coherent beam combination /
- active phase lock /
- multi-frequency dithering /
- fiber laser /
- RMS phase error

HTML全文

图 1 基于多抖动法锁相控制相干合成原理图

Figure 1. Schematic diagram of phase-locked control coherent beam combining system based on multi-frequency dithering

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图 2 相位噪声强度时域和频域下的分布

Figure 2. Intensity of noise in time and frequency domain

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图 3 不同噪声频率下的相位锁定情况

Figure 3. Phase locking with different noise frequency

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图 4 噪声频率对均方根相位误差的影响

Figure 4. Effect of noise frequency on RMS residual phase error

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图 5 有效控制带宽与阵列规模的关系

Figure 5. The relationship between the control bandwidth and the number of channels

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图 6 不同噪声振幅下的算法锁相情况

Figure 6. Algorithm phase locking at different noise amplitudes

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图 7 不同阵列规模下增益系数与平均归一化平均光电流和均方根相位误差的关系

Figure 7. Gain coefficient versus mean normalized photocurrent and RMS residual phase error under different channel numbers

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图 8 最优增益系数与阵列规模的关系

Figure 8. Relationship between the gain coefficient and the number of channels

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图 9 不同阵列规模下调制振幅与平均归一化光电流和均方根相位误差的关系

Figure 9. Mean normalized photocurrent and RMS residual phase error versus dithering amplitude under different channel numbers

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图 10 不同采样频率下的噪声振幅与控制带宽的关系

Figure 10. The relationship between the noise amplitudes and the control bandwidth at different sampling frequency

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图 11 不同第一路正弦调制信号频率和频率间隔下的控制带宽

Figure 11. Control bandwidth under different first modulated optical frequencies and frequency intervals

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