三棱镜折射率的精确测量

孟赟; 闫宝罗; 樊代和; 贾欣燕; 刘其军; 魏云

doi:doi:10.3788/lop54.121201

激光与光电子学进展, 2017, 54 (12): 121201, 网络出版: 2017-12-11

三棱镜折射率的精确测量下载： 1908次

Accurate Measurement of Refractive Index of Triangular Prism

论文大纲

孟赟 ¹闫宝罗 ¹樊代和 ^2,3,*贾欣燕 ^2,3刘其军 ^2,3魏云 ^2,3

作者单位

¹ 西南交通大学物理科学与技术学院, 四川成都 611756

² 西南交通大学物理实验中心, 四川成都 611756

³ 西南交通大学物理国家级实验教学示范中心, 四川成都 611756

测量折射率分光计棱镜不确定度 measurement refractive index spectrometer prism uncertainty

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摘要

基于三棱镜折射率的测量原理, 采用最小偏向角法、掠入射法和垂直底边入射法对折射率相对不确定度进行理论研究。结果表明, 折射率相对不确定度随三棱镜顶角的增大而减小, 不同波长的光对折射率相对不确定度的影响较小, 折射率的相对不确定度随角度测量不确定度的增加而变大。而且在使用最小偏向角法时, 最小偏向角位置附近偏向角随入射角的改变变化不明显, 但偏向角不明显变化的范围随三棱镜顶角的增大而减小。最后, 给出了可获得折射率最小相对不确定度的最优方案, 为三棱镜折射率的精确测量提供了理论依据。

Abstract

Based on the measurement principle of refractive index of triangular prism, the relative uncertainty is theoretically analyzed by using minimum deviation angle method, glancing incidence method and vertical bottom edge incidence method respectively. The results show that the relative uncertainty of the refractive index decreases with the increasing of the vertex angle of the triangular prism. The effect of the beams with different wavelengths on the relative uncertainty of the refractive index is small. And the relative uncertainty of the refractive index increases with the increasing of the uncertainty of the angulation. Moreover, when minimum deviation angle method is used, the effect of the deviation angle near the minimum deviation angle position on the incident angle is not obvious. But the unapparent variation range of the deviation angle decreases with the increasing of the vertex angle of the triangular prism. Finally, the optimal scheme is provided for obtaining the minimum relative uncertainty of refractive index, which provides a theoretical basis for the accurate measurement of the refractive index of the triangular prism.

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孟赟, 闫宝罗, 樊代和, 贾欣燕, 刘其军, 魏云. 三棱镜折射率的精确测量[J]. 激光与光电子学进展, 2017, 54(12): 121201. Meng Yun, Yan Baoluo, Fan Daihe, Jia Xinyan, Liu Qijun, Wei Yun. Accurate Measurement of Refractive Index of Triangular Prism[J]. Laser & Optoelectronics Progress, 2017, 54(12): 121201.

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