Zhiqaing Gao, Qi Chang, Haoyu Liu, Jun Li, Pengfei Ma, Pu Zhou. Research Progress and Development Trend of Machine Learning in Phase Control of Fiber Laser Arrays[J]. Chinese Journal of Lasers, 2023, 50(11): 1101010

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- Chinese Journal of Lasers
- Vol. 50, Issue 11, 1101010 (2023)
![Device and result diagrams of coherent combining system[39]. (a) Device diagram of two-channel combining system; (b) change of combined output power in time domain; (c) power spectral density of phase noise](/richHtml/zgjg/2023/50/11/1101010/img_01.jpg)
Fig. 1. Device and result diagrams of coherent combining system[39]. (a) Device diagram of two-channel combining system; (b) change of combined output power in time domain; (c) power spectral density of phase noise
![Model and results of tiled aperture coherent combining system[40]. (a) Schematic of tiled aperture coherent combination of multi-core fiber laser by deep reinforcement learning; (b) phase errors under different neural networks](/richHtml/zgjg/2023/50/11/1101010/img_02.jpg)
Fig. 2. Model and results of tiled aperture coherent combining system[40]. (a) Schematic of tiled aperture coherent combination of multi-core fiber laser by deep reinforcement learning; (b) phase errors under different neural networks
![Experimental verification and results of array phase-locked system[41]. (a) Flow diagram of array phase-locked system; (b) phase quality versus correction step in 100-beam co-phase experiment](/Images/icon/loading.gif)
Fig. 3. Experimental verification and results of array phase-locked system[41]. (a) Flow diagram of array phase-locked system; (b) phase quality versus correction step in 100-beam co-phase experiment
![Phase locking experiment and results of coherent beam array [42]. (a) Schematic of system for phase-locking coherent beam arrays with neural networks; (b) time domain response of normalized light intensity before and after closing loops; (c) probability distribution of normalized photodetector response values before and after closing loops; (d) corresponding power spectral density before and after closing loops](/Images/icon/loading.gif)
Fig. 4. Phase locking experiment and results of coherent beam array [42]. (a) Schematic of system for phase-locking coherent beam arrays with neural networks; (b) time domain response of normalized light intensity before and after closing loops; (c) probability distribution of normalized photodetector response values before and after closing loops; (d) corresponding power spectral density before and after closing loops
![Experimental structure and results[43]. (a) Experimental setup; (b) comparison of SPGD algorithm and Q learning algorithm](/Images/icon/loading.gif)
Fig. 5. Experimental structure and results[43]. (a) Experimental setup; (b) comparison of SPGD algorithm and Q learning algorithm
![Device diagram and results[47]. (a) Device diagram; (b) one-dimensional intensity distribution diagram and (c) variation trend diagram of power in bucket under different conditions](/Images/icon/loading.gif)
Fig. 6. Device diagram and results[47]. (a) Device diagram; (b) one-dimensional intensity distribution diagram and (c) variation trend diagram of power in bucket under different conditions
![Structural diagram and results of neural networks[49]. (a) Structural diagram of neural network; (b) normalized combining efficiencies of SPGD and neural network versus number of steps](/Images/icon/loading.gif)
Fig. 7. Structural diagram and results of neural networks[49]. (a) Structural diagram of neural network; (b) normalized combining efficiencies of SPGD and neural network versus number of steps
![Implementation and result diagrams of neural network[50]. (a) General block diagram of DDRM-based coherent composite stabilizer; (b) combining efficiency versus number of algorithm steps at drift rate of 5°; (c) combining efficiency versus number of algorithm steps at drift rate of 10°](/Images/icon/loading.gif)
Fig. 8. Implementation and result diagrams of neural network[50]. (a) General block diagram of DDRM-based coherent composite stabilizer; (b) combining efficiency versus number of algorithm steps at drift rate of 5°; (c) combining efficiency versus number of algorithm steps at drift rate of 10°
![Experiment and results of tiled aperture coherent combining [51]. (a) Diagram of tiled aperture coherent combining system; (b) 7-channel PIB scatter graph obtained under open loop; (c) 19-channel PIB scatter graph obtained under open loop; (d) 7-channel PIB scatter graph obtained by using neural network trained with MSE; (e) 19-channel PIB scatter graph obtained by using neural network trained with MSE; (f) 7-channel PIB scatter graph obtained by using neural network trained with MSE-NPCD; (g) 19-channel PIB scatter graph obtained by using neural network trained with MSE-NPCD](/Images/icon/loading.gif)
Fig. 9. Experiment and results of tiled aperture coherent combining [51]. (a) Diagram of tiled aperture coherent combining system; (b) 7-channel PIB scatter graph obtained under open loop; (c) 19-channel PIB scatter graph obtained under open loop; (d) 7-channel PIB scatter graph obtained by using neural network trained with MSE; (e) 19-channel PIB scatter graph obtained by using neural network trained with MSE; (f) 7-channel PIB scatter graph obtained by using neural network trained with MSE-NPCD; (g) 19-channel PIB scatter graph obtained by using neural network trained with MSE-NPCD
![Experimental structure diagram and results[54]. (a) Diagram of experiment for stabilizing laser beam combination;(b)-(e) comparison of combining effect between NN and SPGD](/Images/icon/loading.gif)
Fig. 10. Experimental structure diagram and results[54]. (a) Diagram of experiment for stabilizing laser beam combination;(b)-(e) comparison of combining effect between NN and SPGD
![Experimental diagram and results[63]. (a) Schematic of generating OAM beam with deep learning-assisted two-step phase control method; (b) convergence curves of evaluation functions for generated OAM beams with different topological charges; OAM purity obtained after one step control when NTC is (c) -1, (d) 1, (e) 2 ;OAM purity obtained after two step control when NTC is (f) -1, (g) 1, (h) 2](/Images/icon/loading.gif)
Fig. 11. Experimental diagram and results[63]. (a) Schematic of generating OAM beam with deep learning-assisted two-step phase control method; (b) convergence curves of evaluation functions for generated OAM beams with different topological charges; OAM purity obtained after one step control when NTC is (c) -1, (d) 1, (e) 2 ;OAM purity obtained after two step control when NTC is (f) -1, (g) 1, (h) 2
![Experimental diagram and comparison of results[64]. (a) Schematic of laser array system that adjusts OAM beams by deep learning-based phase control; (b) OAM topology charge after one-step control in 100 simulated cases; (c) OAM topology charge after two-step control in 100 simulated cases; (d) average OAM topology charge after one-step control; (e) average OAM topology charge after two-step control](/Images/icon/loading.gif)
Fig. 12. Experimental diagram and comparison of results[64]. (a) Schematic of laser array system that adjusts OAM beams by deep learning-based phase control; (b) OAM topology charge after one-step control in 100 simulated cases; (c) OAM topology charge after two-step control in 100 simulated cases; (d) average OAM topology charge after one-step control; (e) average OAM topology charge after two-step control

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