相关因素对激光器光束质量影响的数学模型设计  

Design of mathematical model for the influence of relevant factors on laser beam quality

作　　者：陈玲 张丽 CHEN Ling;ZHANG Li(Chongqing College of Mobile Communication,Chongqing 401420,China;Chongqing Finance and Economics College,Chongqing 401320,China)

机构地区：[1]重庆移通学院,重庆401420 [2]重庆财经学院,重庆401320

出　　处：《激光杂志》2024年第12期236-240,共5页Laser Journal

基　　金：中央高校研究生创新基金(No.CDJXS1010028)。

摘　　要：激光器作为激光技术的核心部件,其性能的优劣直接影响到应用的效果。光束质量是评价激光器性能的重要指标之一,研究影响激光器光束质量的因素及其作用机制对于提高激光器的性能和应用效果具有重要意义,设计相关因素对激光器光束质量影响的数学模型。以M 2因子为激光器光束质量的评判标准,忽略相干分量带来的影响,构建Zernike球差系数对于激光器光束质量的影响模型。根据相位畸变的均方根与光强分布的均方根之间存在相同的关联性构建空气热效应对激光器光束质量的影响模型。明确高斯光束在轨道处的光场分布表达式,根据“Talanov”原理构建自聚焦效应对激光器光束质量的影响模型,综合3种影响模型构建相关因素对激光器光束质量影响的综合数学模型。逐一调整每个相关因素后,模型的数值模拟结果与实际情况完全相符,证明了模型的实用性。As the core component of laser technology,the performance of lasers directly affects the effectiveness of applications.The beam quality is one of the important indicators for evaluating the performance of lasers.Studying the factors and their mechanisms that affect the beam quality of lasers is of great significance for improving the performance and application effects of lasers.Designing a mathematical model for the influence of relevant factors on the beam quality of lasers is crucial.Using M2 factor as the evaluation criterion for laser beam quality,ignoring the influence of coherent components,a Zernike spherical aberration coefficient impact model on laser beam quality is constructed.Construct a model of the impact of air thermal effect on laser beam quality based on the same correlation between the root mean square of phase distortion and the root mean square of light intensity distribution.Clarify the expression of the light field distribution of Gaussian beams at the orbit,construct a model of the effect of self focusing on the quality of laser beams based on the"Talanov"principle,and comprehensively construct a comprehensive mathematical model of the influence of relevant factors on the quality of laser beams by integrating three types of influence models.After adjusting each relevant factor one by one,the numerical simulation results of the model are completely consistent with the actual situation,proving the practicality of the model.

关 键 词：Zernike球差 空气热效应 自聚焦效应 M2因子 激光器光束质量 

分 类 号：TN248[电子电信—物理电子学]