基于对波长线性拟合的平凸透镜曲率半径测量方法#br#

doi:10.14139/j.cnki.cn22-1228.2026.01.001

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摘要基于牛顿环干涉实验中的环纹位置与光源波长有关，提出实验中用不同波长的光波入射，先用逐差法求得圆环直径的平方差，再用最小二乘法以测得的圆环直径平方差为纵坐标，入射光波长为横坐标进行直线拟合，通过拟合直线的斜率计算平凸透镜的曲率半径值。实验验证了新方法的有效性和结果的可靠性，新方法兼具逐差法和最小二乘法各自的优点，弥补了旧直线拟合方法不足自变量无误差的不足，值得在类似的其他干涉实验中推广应用。

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	花晓彬
	阮小霞

关键词: 曲率半径平凸透镜牛顿环直线拟合

Abstract: Based on the correlation between the position of the ring in Newton＇s ring interference experiment isrelated to the wavelength of the light source，the two conventional data processing methods，the difference-by-difference method and the least square method，are combined to apply in the experiment that the incident lightwaves with different wavelengths．First，the squared differences of circular ring diameters are calculated usingthe difference method，and then the least square method is used to fit the straight line with the obtained valuesof the squared differences of ring diameters as the vertical coordinate and the incident wavelength as thehorizontal coordinate．The curvature radius of the plano-convex lensis determined by calculating the slope ofthe fitted line．The experimental results verify the effectiveness of the new method and the reliability of theresults．The new method is worthy of popularization and application in other similar interference experiments．

Key words: curvature radius plano-convex lens Newton＇s ring linear fitting

发布日期: 2026-02-25

ZTFLH:	TP 274
	O 4-34

基金资助: 教育部基金(JZW-23-ＲX-03，JZW-25-ＲX-05);江苏大学基金(ZZYQSB202201)

引用本文:

花晓彬, 阮小霞. 基于对波长线性拟合的平凸透镜曲率半径测量方法#br#[J]. 大学物理实验, 2026, 39(1): 1-4.
HUA Xiaobin , ＲUAN Xiaoxia. Measurement Method of Curvature Ｒadius of Plano-ConvexLens Based on Linear Fitting of Light Wavelength#br#. Physical Experiment of College, 2026, 39(1): 1-4.

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https://dawushiyan.jlict.edu.cn/CN/10.14139/j.cnki.cn22-1228.2026.01.001 或 https://dawushiyan.jlict.edu.cn/CN/Y2026/V39/I1/1

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