高斯光束理论及非线性拟合在准直器自动生产中的应用  

Application of Gaussian Beam Propagation Theory and Nonlinear Fitting Technology in Automatic Production of Optical Fiber Collimator

作　　者：李想[1] 赵强 郭磊 李颖[1] Li Xiang;Zhao Qiang;Guo Lei;Li Ying(College of Physics and Optoelectronic Engineering,Faculty of Information Science and Engineering,Ocean University of China,Qingdao 266100,Shandong,China;Qingdao Primanex Corporation,Qingdao 266555,Shandong,China)

机构地区：[1]中国海洋大学信息科学与工程学部物理与光电工程学院,山东青岛266100 [2]青岛浦芮斯光电技术有限公司,山东青岛266555

出　　处：《中国激光》2025年第2期157-162,共6页Chinese Journal of Lasers

摘　　要：针对自动化光纤准直器生产中存在的效率低、容错率低等问题,提出了基于高斯光束传播理论和非线性拟合技术快速准确并滚动迭代寻优的算法。具体地,采用Levenberg‒Marquardt(LM)算法有效提高了生产过程的适应性和效率。Objective In optical fiber communication,the collimator is a fundamental component with substantial market demand.However,its manufacturing process has long been mired in manual or semiautomatic stages,resulting in low efficiency,high costs,and poor product consistency.Existing semiautomatic systems employ closed-loop feedback control based on the deviation of production data from predefined targets for global optimization,which leads to issues such as high computational burden,lengthy processing time,and sensitivity to production parameters.This study proposes a methodology that combines classical Gaussian beam propagation theory with nonlinear fitting,to swiftly achieve the target spot diameter during collimator fabrication.Methods Classical Gaussian beam propagation theory was employed to perform nonlinear fitting on production process data.The independent variable was the distance between the optical fiber and lens,and the dependent variable was the detected collimator output spot diameter at the measurement position.Parameters such as lens length(L),fiber mode field radius(ω0),lens curvature radius(R),and lens refractive index(n)of the collimator were determined through fitting,deriving the distance between the optical fiber and lens corresponding to the target spot diameter in a single step.The nonlinear fitting of production data utilized the Levenberg‒Marquardt algorithm.Considering the adaptability issues of different collimator models and the difficulty of obtaining ideal target values in practice,this study incorporates the actual measured spot diameters into subsequent rounds of nonlinear fitting to progressively approach the target,thereby enhancing the adaptability and efficiency of the algorithm.Results and Discussions Classical Gaussian beam propagation theory was employed for the nonlinear fitting of the production process data.Comparative testing with commercial systems,as depicted in Fig.3,shows that the rolling fitting LM system optimizes within 1‒2 steps on average to achieve the target

关 键 词：光纤准直器 高斯光束 非线性拟合 Levenberg‒Marquardt算法 自动化生产 

分 类 号：TN253[电子电信—物理电子学]