大学物理 ›› 2022, Vol. 41 ›› Issue (4): 21-.doi: 10.16854/j.cnki.1000-0712.210313

• 物理实验 • 上一篇    下一篇

测量液体折射率的一种新方法——液芯柱透镜散焦宽度法

王艳,王瑞仙,赵庆好,孟伟东,普小云   

  1. 云南大学 物理与天文学院,云南 昆明650091
  • 收稿日期:2021-06-30 修回日期:2021-09-02 出版日期:2022-04-20 发布日期:2022-04-20
  • 通讯作者: 孟伟东,E-mail: wdmeng213@163.com
  • 作者简介:王 艳(1997—), 女, 山西吕梁人, 云南大学物理与天文学院2019级光学专业硕士研究生,主要从事液体折射率和液相扩散系数测量的研究工作.
  • 基金资助:
    国家自然科学基金(11804296);云南省科技厅科技计划项目(2019FD133);云南省教育厅科学研究基金项目(2021Y039);云南大学教育教学改革项目资助

A new method for measuring liquid refractive index by  analyzing a defocused image of liquid-core cylindrical lens 

WANG Yan, WANG Rui-xian, ZHAO Qing-hao, MENG Wei-dong, PU Xiao-yun   

  1. School of Physics and Astronomy, Yunnan University, Kunming, Yunnan 650091, China
  • Received:2021-06-30 Revised:2021-09-02 Online:2022-04-20 Published:2022-04-20

摘要: 本文提出了一种基于消球差复合液芯柱透镜快速、准确测量液体折射率的新方法——液芯柱透镜散焦宽度法.该方法利用消球差复合液芯柱透镜在较宽折射率范围内系统球差小、成像准确的特点,基于不同折射率在成像系统上呈现一一对应的散焦图像,仅需采集一幅散焦图像即可得到待测液体的折射率.用该方法测量了室温( 20 ℃)下21组不同液体的折射率,测量结果与用阿贝折射仪测量结果一致,用ZEMAX和光线追迹逐面成像法仿真的散焦宽度图像与实验图像一致.用该方法测量液体折射率具有系统简单、稳定性好、操作简便、测量速度快等特点.

关键词: 液体折射率, 液芯柱透镜, 散焦图像宽度, 消球差

Abstract: In this paper, a new method for measuring liquid refractive index based on a spherical aberration-free liquid-core cylindrical lens is presented by analyzing an experimental defocused image on the focal plane. A spherical aberration-free liquid-core cylindrical lens is designed and fabricated which has small spherical aberration and accurate imaging in a wide range of refractive index. Using the designed lens, according to the relationship between the experimental image and the liquid refractive index, only one defocused image is needed to measure the liquid refractive index. The method is used to measure the refractive indexes of 21 groups mixed solution at room temperature (20℃). The measured results are in well agreement with those using Abbe refractometer. The defocused images simulated by ZEMAX and ray tracing method are consistent with the experimental results. The experimental and simulation results show that the method has the characteristics of simple system, good stability, simple operation and fast measurement speed.

Key words: liquid refractive index, liquid-core spherical lens, width of defocused image, spherical aberration-free