激光技术2026，Vol.50Issue(3)：344-352,9.DOI:10.7510/jgjs.issn.1001-3806.2026.03.006
激光相干合成分阶段参数自适应SPGD算法
Staged parameter-adaptive SPGD algorithm for laser coherent beam combining
摘要
Abstract
To address the problems that the SPGD algorithm suffers from a significant decrease in convergence speed and a high risk of being trapped in local optima as the number of coherently combined beams increases and atmospheric turbulence intensifies,a staged parameter-adaptive SPGD algorithm is proposed. The algorithm divided the optimization process into an early convergence stage and a late convergence stage based on the value of the objective function.In the early stage,a cosine decay function with a faster attenuation rate was employed to adaptively adjust the gain coefficient and perturbation voltage,thereby enhancing the global search capability,accelerating convergence to the optimal solution,and reducing the likelihood of being trapped in local optima.In the late stage,an exponential decay function with a slower attenuation rate was adopted to refine the adjustment of the gain coefficient and perturbation voltage,which mitigated oscillations around the optimal solution and improved convergence accuracy. In the proposed algorithm,the early stage used the cosine decay function to rapidly adjust the gain coefficient and perturbation voltage,while the later stage used the exponential decay function to achieve smoother and finer adjustment.Using this algorithm as the phase control strategy,coherent combining simulations for 3,7,and 19 beams were conducted,respectively.The results indicated that,compared with the traditional SPGD algorithm,the convergence speed improved by 16.7%,27.7%,and 37.4%(Fig.13). The staged parameter-adaptive SPGD algorithm adaptively adjusts the gain coefficient and perturbation voltage at different stages by introducing cosine and exponential functions,effectively verifying the feasibility of staged parameter-adaptive adjustment and its application value in multi-beam laser coherent combining systems.关键词
激光技术/相干合成/随机并行梯度下降算法/收敛速度Key words
laser technique/coherent beam combining/stochastic parallel gradient descent algorithm/convergence rate分类
信息技术与安全科学引用本文复制引用
郭祎,陈波,杨靖,赵月华..激光相干合成分阶段参数自适应SPGD算法[J].激光技术,2026,50(3):344-352,9.基金项目
河北省自然科学基金资助项目(F2019209443) （F2019209443）
河北省教育厅资助项目(BJ2026037) （BJ2026037）
华北理工大学校科研项目(PYGF202503) （PYGF202503）
