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Matlab对牛顿环半径实验的多种数据处理方法分析及可视化

Analysis and Visualization of Various Data Processing Methods for Newton′s Rings Radius Experiment Using Matlab
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摘要 在“大学物理实验”中,数据的处理尤为关键。本文以光的等厚干涉测量牛顿环曲率半径为例:首先采用Matlab对不同的实验数据处理方法进行模拟,比较逐差、最小二乘和加权平均三种数据处理方法和误差分析,并计算了不确定度,发现最小二乘法展现了最优的拟合结果,具有最小的误差;其次使用MATLAB成功生成了牛顿环的可视化图像,展示了不同光波长和牛顿环半径下的实验结果。比较数据处理方法优劣和实验可视化有助于直观理解和展示实验现象,为实验结果的分析提供了有效的辅助工具。 The processing of data in the University Physics Experiment is particularly crucial.The radius of curvature of Newton′s rings is measured by interferometry of equal thickness of light as an example:Firstly,different experimental data processing methods were simulated using MATLAB,and the data processing and error analysis of the three data processing methods of successional difference,least squares and weighted average are compared,and the uncertainty of each method is calculated.It is found that the least squares method exhibits the optimal fitting results with small errors.Secondly,the visualization image of Newton′s rings is successfully generated by MATLAB,and the experimental results under different wavelengths of light and Newton ring radius are displayed.Comparing the advantages and disadvantages of data processing methods and experimental visualization can help to intuitively understand and display experimental phenomena and provide an effective auxiliary tool for the analysis of experimental results.
作者 钟卓荣 黄昊 岳毅 牛相宏 ZHONG Zhuorong;HUANG Hao;YUE Yi;NIU Xianghong(School of Science,Nanjing University of Posts and Telecommunications,Nanjing 210023,China)
出处 《大学物理实验》 2024年第4期95-100,138,共7页 Physical Experiment of College
基金 中国博士后基金(2022M711691)。
关键词 MATLAB 牛顿环 数据处理 线性拟合 可视化 MATLAB Newton rings data processing linear fitting visualization
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