基于光线映射初始相位估计和径向基函数优化的光束质量分析  

Beam Quality Analysis Based on Ray Mapping Initial Phase Estimation and Radial Basis Function Optimization

作　　者：陈椿元 冯泽心 Chen Chunyuan;Feng Zexin(Beijing Engineering Research Center of Mixed Reality and Advanced Display,School of Optics and Photonics,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]北京理工大学光电学院北京市混合现实与新型显示工程技术研究中心,北京100081

出　　处：《激光与光电子学进展》2025年第1期167-174,共8页Laser & Optoelectronics Progress

基　　金：国家自然科学基金(11704030);中国人工智能学会-华为MindSpore学术奖励基金(CAAIXSJLJJ-2021-014A,CAAIXSJLJJ-2022-010A)。

摘　　要：通过测量垂直于光束传输方向的两个平面上的光强分布,利用相位恢复方法可有效地对激光光场进行重建。针对激光光束的相位恢复问题,提出基于光线映射的初始相位估计策略,快速获取一个良好的相位分布初始值。在该相位初始值上叠加径向基函数分量,利用梯度下降的方法求得径向基函数的权重,进一步获取更精确的相位分布。利用角谱法重建激光在空间中的强度分布,并用二阶矩法和最小二乘法拟合光束宽度,从而计算光束质量因子(M^(2))。对单模和多模的激光仿真以及实际的氦氖激光器测量结果表明,所提方法可较高精度地重建激光的相位,进而有效地计算M^(2)。The laser field can be effectively reconstructed using phase retrieval methods by measuring intensity distributions on two planes perpendicular to the beam propagation direction.To address the phase retrieval challenge in laser beams,an initial phase estimation strategy based on ray mapping is proposed,which provides a rapid and accurate initial phase distribution.A more precise phase distribution is achieved by superimposing radial basis function components onto this initial phase and determining their weights through the gradient descent method.The spatial intensity distribution of the laser is then calculated using the angular spectrum method,with the beam width fitted using the second-moment method and the least squares method.This approach facilitates the calculation of the beam quality factor(M^(2)).Simulations of single-mode and multimode laser beams and experimental results from a helium-neon laser demonstrate that the proposed method enables high-precision laser phase reconstruction,leading to the effective calculation of M^(2).

关 键 词：光束质量分析 激光光场重建 相位恢复 

分 类 号：O436[机械工程—光学工程]