大学物理 ›› 2020, Vol. 39 ›› Issue (03): 39-43.

• 物理实验 • 上一篇    下一篇

迈克耳孙干涉仪非定域干涉条纹分析

郭东琴,陈文博,张胜海   

  1. 信息工程大学基础部,河南 郑州 450001
  • 收稿日期:2019-08-14 修回日期:2019-11-09 出版日期:2020-03-20 发布日期:2020-03-13
  • 通讯作者: 张胜海,E-mail:ccstshz@ 163.com
  • 作者简介:郭东琴(1981—),女,河南驻马店人,信息工程大学基础部讲师,硕士,主要从事大学物理和大学物理实验教学及光学混沌的研究.
  • 基金资助:
    信息工程大学大学物理课程建设项目、信息工程大学大学物理实验课程建设项目资助

Analysis of the non-localized interference fringes  produced by Michelson interferometer

GUO Dong-qin,CHEN Wen-bo,ZHANG Sheng-hai   

  • Received:2019-08-14 Revised:2019-11-09 Online:2020-03-20 Published:2020-03-13

摘要:

针对迈克耳孙干涉仪实验调节过程中经常会出现椭圆、双曲线等非圆形二次曲线条纹的现象,本文基于点光源条件下非定域干涉的原理,推导出了干涉条纹满足的曲线方程,分析了不同条件下干涉条纹的形状,发现观察屏上可呈现圆、椭圆、抛物线、双曲线和直线5 种类型的干涉条纹.基于理论结果进行了数值模拟和实验验证,数值模拟结果和实验结果吻合较好.

关键词: 迈克耳孙干涉仪, 非定域干涉, 曲线方程, 条纹形状

Abstract:

It is often found that there are non-circular quadratic fringes such as ellipse and hyperbola appeared

in the experimental adjustment of Michelson interferometer. Aiming at this phenomena,this paper deduces the mathematical equation of the interference fringe based on the principle of non-local interference under the condition of point light source. On this basis,the shape of interference fringes under different conditions is analyzed. It is found that there are five kinds of line shapes of interference fringes can be acquired,they are circular,elliptic,parabolic,hyperbolic and straight. Based on the theoretical results,numerical simulation and experimental verification are carried out,and the numerical simulation results are in good agreement with the experimental results.

Key words: Michelson interferometer, non - localized interference, curve equation, the shape of interference fringes