大学物理 ›› 2026, Vol. 45 ›› Issue (1): 117-.doi: 10.16854/j.cnki.1000-0712.250258

• 大中衔接 • 上一篇    下一篇

消色差物镜的透镜折射率测定

李松冕,宋飞,刘滢滢,张留碗   

  1. 1. 清华大学 物理系,北京100084;2. 舒兹伯利公学,什罗普郡SY37BA
  • 收稿日期:2025-05-10 修回日期:2025-06-04 出版日期:2026-04-13 发布日期:2026-04-22
  • 作者简介:李松冕(2007-),男,北京人,Shrewsbury School,高中生,清华大学物理系EuPhO2025国家队集训队队员,从事物理竞赛、几何光学研究等.
  • 基金资助:
    通专教育背景下大学实验物理教学内容的重构探索与实践、教育部拔尖计划2.0研究课题(20211007)、清华大学本科教育教学改革经费(53410001325)资助

Determination of lens refractive indices in achromatic objectives

Li Song-mian1, 2, SONG Fei1, LIU Ying-ying1, ZHANG Liu-wan1#br#   

  1. 1. Department of Physics, Tsinghua University, Beijing 100084, China; 
    2. Shrewsbury School, Shropshire SY37BA, UK

  • Received:2025-05-10 Revised:2025-06-04 Online:2026-04-13 Published:2026-04-22

摘要: 本实验针对透射式望远镜的消色差物镜光学系统研究.通过平行光法测定凸透镜的焦距,通过厚透镜公式确定凸透镜的折射率.通过凹透镜和凸透镜所组成的复合透镜焦距测量,反演出凹透镜的焦距,进而完成凹透镜折射率测定.通过消色差公式,推演出透镜材料的材料及阿贝系数,验证消色差复合透镜的设计原理.


关键词: 凸透镜, 凹透镜, 复合透镜, 折射率, 阿贝系数

Abstract: This study focuses on the optical system of achromatic objectives for refracting telescopes. The focal length of a convex lens is measured using the parallel light method, and its refractive index is determined via the thick lens formula. By measuring the focal length of a compound lens composed of convex and concave lenses, the focal length of the concave lens is deduced, enabling the determination of its refractive index. Based on the achromatic condition formula, the lens materials and Abbe numbers are derived, validating the design principles of achromatic compound lenses.

Key words: convex lens, concave lens, compound lens, refractive index, Abbe number