Fig. 1. Schematic of laser beam array

Fig. 2. Schematic for coherent beam combination of high-energy short-pulse laser based on SPGD algorithm

Fig. 3. Convergence curves for different performance evaluation functions

Fig. 4. Comparison of adaptive gain and constant gain. (a) Algorithm convergence curves; (b) adaptive gain variation curve

Fig. 5. Schematic of coherent beam combination for two short laser pulses

Fig. 6. Variation curves of peak intensity of far-field focal spot for open-loop and closed-loop states

Fig. 7. Coherent beam combination with external vibration conditions. (a) 10 Hz; (b) 15 Hz; (c) 20 Hz; (d) 25 Hz

Fig. 8. Convergence curves for static phase error correction in different laser arrays by SPGD algorithm

Fig. 9. Convergence curves for dynamic phase error correction in four-beam and nine-beam laser arrays by SPGD algorithm for 1 s. (a) δ=0.2; (b) δ=0.4; (c) δ=0.8

Fig. 10. Relationship between coherent combining effect and dynamic phase noise performance under different algorithm iteration rates. (a) Iteration rate is 2 kHz; (b) iteration rate is 5 kHz

Fig. 11. Relationship between coherent combining effect and dynamic phase noise for two beams and nine beams. (a) Two beams; (b) nine beams