一种非线性拟合的激光损伤测试点分配方法  

An Allocation Method of Laser Damage Test Point Based on Nonlinear Fitting

作　　者：周家玮 程旺 殷晨轩 郭广妍 廖利芬 张宏 李裔 邾强强 王乐 麻云凤 Zhou Jiawei;Cheng Wang;Yin Chenxuan;Guo Guangyan;Liao Lifen;Zhang Hong;Li Yi;Zhu Qiangqiang;Wang Le;Ma Yunfeng(College of Optical and Electronic Technology,China Jiliang University,Hangzhou 310018,Zhejiang,China;Aerospace Information Research Institute,Chinese Academy of Sciences,Beijing 100094,China;School of Optoelectronics,University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]中国计量大学光学与电子科技学院,浙江杭州310018 [2]中国科学院空天信息创新研究院,北京100094 [3]中国科学院大学光电学院,北京100049

出　　处：《激光与光电子学进展》2023年第23期162-168,共7页Laser & Optoelectronics Progress

基　　金：中国科学院青年创新促进会(Y2021048);国家自然科学基金(62075203);浙江省杰出青年基金(LR19F050001);浙江省重点研发计划(2022C01127)。

摘　　要：激光诱导损伤阈值(LIDT)是光学元件发展中不可或缺的一项重要指标,提高其测量结果的准确性仍是当前人们致力于研究的方向。基于蒙特卡罗法提出了一种损伤测试点优化分配方法,以提高LIDT拟合结果的准确性。针对测试样品有限的辐照测试面积及辐照光斑大小,模拟了一种非线性简并缺陷损伤模型,对不同通量水平下测试点变化对拟合LIDT结果的影响进行了敏感性分析。根据设定的损伤模型参数建立模型生成相关损伤数据,通过控制变量法对每次指定通量水平处的测试点数进行变更,在其余通量处测试点数不变的情况下,采用蒙特卡罗法对所有损伤数据进行多次模拟计算,绘制拟合结果均方根误差和测试点的关系曲线图。计算其相应测试点数对损伤阈值拟合结果标准差的敏感性。从而以此敏感性为权重对各通量下的测试点进行更合理的分配。结果表明,该敏感性权重法的拟合结果的标准差为0.272 J/cm2,相比于标准平均分配方法的标准差0.395 J/cm2减小了约31%。As an indispensable indicator in the development of optical components,laser-induced damage threshold(LIDT)is still the direction of research to improve the accuracy of its measurement results.In this paper,an optimal allocation method of damage test points based on Monte Carlo method is proposed to improve the accuracy of LIDT fitting results.According to the limited irradiation test area and irradiation spot size of the test sample,a nonlinear degenerate defect damage model is simulated,and the sensitivity analysis of the influence of test points change on the fitting LIDT results at different fluence levels is analyzed.Then,according to the setting parameters of damage model,a model is established to generate relevant damage data.The number of test points at each specified fluence level is changed by the control variable method,with the number of test points unchanged at the rest of the fluences.The Monte Carlo method is used to perform multiple simulation calculations on all damage data.The relationship curve between the standard deviation of the fitting results and the test points is drawn,so as to calculate the sensitivity of the corresponding test points to the standard deviation of the damage threshold fitting result.Finally,a more reasonable allocation of test points under each fluence is carried out with this sensitivity as the weight.The results show that the standard deviation of the fitting result of the sensitivity weight method is 0.272 J/cm2,which is about 31%lower than the standard deviation of 0.395 J/cm2 in the standard distribution method.

关 键 词：激光诱导损伤阈值 蒙特卡罗 敏感性分析 非线性拟合 

分 类 号：O348.11[理学—固体力学]