基于全像面拟合的中阶梯光栅光谱仪谱图还原算法  

Spectral Reduction Algorithm for Echelle Spectrometer Based on Full⁃Field Fitting

作　　者：崔涛 尹禄 孙亚楠 陈建军 周洋东 韩龙飞 王乐 Cui Tao;Yin Lu;Sun Yanan;Chen Jianjun;Zhou Yangdong;Han Longfei;Wang Le(College of Optics and Electronic Science and Technology,China Jiliang University,Hangzhou 310018,Zhejiang,China;College of Information and Control Engineering,Qingdao University of Technology,Qingdao266520,Shandong,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]青岛理工大学信息与控制工程学院,山东青岛266520

出　　处：《中国激光》2024年第8期253-266,共14页Chinese Journal of Lasers

基　　金：国家自然科学基金(51832005,62075203,1210042018);国家自然科学基金青年基金(62305320);国家重点研发计划(2021YFC3340400);浙江省科技计划(2022C01127,2021C05005);浙江省自然科学基金(LQ23A040007);山东省自然科学基金(ZR2021QF113)。

摘　　要：谱图还原算法是中阶梯光栅光谱仪高分辨的保障,其精度和速度的优化是推动仪器发展的关键。提出一种基于全像面拟合的谱图还原算法,将光谱标定融入到建模过程中的方式同时解决了环境改变和仪器扰动对模型精度的影响问题。首先建立初始模型,利用光线追迹结果进行全像面拟合,获得标准模型。再利用Hg-Ar灯的特征谱线对标准模型进行二次拟合以修正偏差,从而完成光谱标定。最后采用多种元素灯的特征谱线对所提建模方法的精度进行验证。实验结果表明,所建立的谱图还原模型的全像面误差在2 pixel内,全波段波长平均提取误差为0.01 nm。所提方法将建模过程与标定技术相结合,使标定常态化,简化了建模流程,为中阶梯光栅光谱仪的应用推广提供了算法基础。Objective The echelle spectrometer,with its high spectral resolution,is increasingly applied in various fields and has become one of the primary spectroscopic analysis instruments.Spectrum reconstruction technology is at the core of data processing in echelle spectrometers.It achieves rapid reconstruction from two-dimensional(2D)images to one-dimensional(1D)spectra by establishing a correspondence between the wavelength and imaging position.The accuracy of the spectrum reconstruction directly determines the performance of the echelle spectrometer,making it a key and challenging aspect of instrument development.Spectrum reconstruction algorithms have evolved from ray tracing,modeling(deviation method and mathematical modeling),and calibration methods.The evolution of algorithms is an ongoing process of continuous optimization and improvement.Each spectrum reconstruction algorithm has its advantages and disadvantages.However,a consistent mainstream approach is to achieve high accuracy and speed.Factors such as environmental conditions and application requirements must also be considered.Therefore,it is crucial to develop a spectrum reconstruction algorithm that combines these various advantages.Methods This study proposes a convenient and widely applicable spectrum reconstruction algorithm,adopting a nontraditional approach that initially focuses on improving the modeling speed,followed by further enhancement of accuracy.The main research method involves leveraging the advantage of rapid modeling using the deviation method to establish an initial model quickly.Subsequently,the initial model is subjected to holographic surface fitting with the theoretical model traced using ray-tracing software to obtain a standard model.Calibration is thereafter incorporated into the modeling process,allowing the standard model to fit an actual model comprising elemental lamp spectrum data.Through this process,the final model is obtained,and a spectrum reconstruction model is established.Following this,denoising is applied to the 2

关 键 词：光谱学 中阶梯光栅光谱仪 谱图还原算法 全像面拟合 光谱标定 

分 类 号：TH741[机械工程—光学工程]