Efficient phase-locking of 60 fiber lasers by stochastic parallel gradient descent algorithm

Hongxiang Chang; Jiachao Xi; Rongtao Su; Pengfei Ma; Yanxing Ma; Pu Zhou

doi:doi:10.3788/COL202018.101403

Chinese Optics Letters, 2020, 18 (10): 101403, Published Online: Sep. 3, 2020

Efficient phase-locking of 60 fiber lasers by stochastic parallel gradient descent algorithm Download： 799次

Hongxiang Chang Jiachao Xi Rongtao Su Pengfei Ma Yanxing Ma Pu Zhou ^*

Author Affiliations

College of Advanced Interdisciplinary Studies, National University of Defense Technology, Changsha 410073, China

Figures & Tables

Fig. 1. Experimental setup of the 60-channel active phase-locking CBC system. PM AMPs, polarization maintaining fiber amplifiers; PD, photoelectric detector.

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Fig. 2. Simulation results. (a) Influence of the pinhole radius on the PIB. (b) A typical far-field intensity pattern when the radius of the pinhole is larger than the radius of the Airy disc after CBC using the SPGD algorithm. (c) A typical far-field intensity pattern when the radius of the pinhole is smaller than the radius of the Airy disc after CBC using the SPGD algorithm.

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Fig. 3. (a) Shape of filter 1. (b) Shape of filter 2. (c) Equivalent filter. (d) An out-of-phase mode obtained in simulation within 2000 iterations.

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Fig. 4. Acquisition diagram of a ring-shaped out-of-phase mode.

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Fig. 5. Filters and simulation results of other out-of-phase modes within 1000 iterations.

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Fig. 6. (a) Photograph of the SPGD controller. (b) Rear panel of the SPGD controller.

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Fig. 7. Normalized cost function $J$ in 40 s long exposure of open and closed loops.

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Fig. 8. (a) Long-exposure far-field pattern of the 60 lasers in closed loop. (b) Theoretical far-field pattern of the beam array with ideal phases at the emission surface. (c) Experimental (in blue) and theoretical (in red) intensity profiles of a cross section in the far-field.

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Hongxiang Chang, Jiachao Xi, Rongtao Su, Pengfei Ma, Yanxing Ma, Pu Zhou. Efficient phase-locking of 60 fiber lasers by stochastic parallel gradient descent algorithm[J]. Chinese Optics Letters, 2020, 18(10): 101403.

Efficient phase-locking of 60 fiber lasers by stochastic parallel gradient descent algorithm Download： 799次

Fig. 1. Experimental setup of the 60-channel active phase-locking CBC system. PM AMPs, polarization maintaining fiber amplifiers; PD, photoelectric detector.

Fig. 3. (a) Shape of filter 1. (b) Shape of filter 2. (c) Equivalent filter. (d) An out-of-phase mode obtained in simulation within 2000 iterations.

Fig. 4. Acquisition diagram of a ring-shaped out-of-phase mode.

Fig. 5. Filters and simulation results of other out-of-phase modes within 1000 iterations.

Fig. 6. (a) Photograph of the SPGD controller. (b) Rear panel of the SPGD controller.

Fig. 7. Normalized cost function $J$ in 40 s long exposure of open and closed loops.

Fig. 8. (a) Long-exposure far-field pattern of the 60 lasers in closed loop. (b) Theoretical far-field pattern of the beam array with ideal phases at the emission surface. (c) Experimental (in blue) and theoretical (in red) intensity profiles of a cross section in the far-field.

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Efficient phase-locking of 60 fiber lasers by stochastic parallel gradient descent algorithm Download： 799次

Fig. 1. Experimental setup of the 60-channel active phase-locking CBC system. PM AMPs, polarization maintaining fiber amplifiers; PD, photoelectric detector.

Fig. 3. (a) Shape of filter 1. (b) Shape of filter 2. (c) Equivalent filter. (d) An out-of-phase mode obtained in simulation within 2000 iterations.

Fig. 4. Acquisition diagram of a ring-shaped out-of-phase mode.

Fig. 5. Filters and simulation results of other out-of-phase modes within 1000 iterations.

Fig. 6. (a) Photograph of the SPGD controller. (b) Rear panel of the SPGD controller.

Fig. 7. Normalized cost function J in 40 s long exposure of open and closed loops.

Fig. 8. (a) Long-exposure far-field pattern of the 60 lasers in closed loop. (b) Theoretical far-field pattern of the beam array with ideal phases at the emission surface. (c) Experimental (in blue) and theoretical (in red) intensity profiles of a cross section in the far-field.

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Fig. 7. Normalized cost function $J$ in 40 s long exposure of open and closed loops.