大学物理 ›› 2021, Vol. 40 ›› Issue (01): 1-6.doi: 10.16854 /j.cnki.1000-0712.200283

• 教学研究 •    下一篇

利用双光栅衍射测量微谐振动的研究

肖国宏,钟锡华,刘萍   

  1. 1. 西安交通大学理学院,陕西西安710049; 2. 北京大学物理学院,北京100871
  • 收稿日期:2020-07-02 修回日期:2020-07-31 出版日期:2021-01-07 发布日期:2021-01-07
  • 作者简介:肖国宏( 1967—) ,男,陕西西安人,西安交通大学理学院教授,主要从事物理教学和光学方面的研究工作.

Study of micro-vibrating by a double grating diffraction

XIAO Guo-hong1,ZHONG Xi-hua2,LIU Ping1   

  1. 1. School of Science,Xi’an Jiaotong University,Xi’an,Shaanxi 710049,China; 2. School of Physics,Peking University,Beijing 100871,China
  • Received:2020-07-02 Revised:2020-07-31 Online:2021-01-07 Published:2021-01-07

摘要: 本文以余弦光栅为模型,运用波前相因子分析方法,得到了有一定距离的双余弦光栅衍射斑的强度公式. 推导出了双光栅之一作纵向或横向微谐振动时,远场衍射光斑强度的变化公式. 这些公式呈现出复合余弦函数的变化规律,并且分析出了光强随时间的变化与光栅振幅之间的关系. 为微小振动的测量提供了一种新的方法. 最后,文章给出了衍射斑强度变化信号的数值计算结果.

关键词: 双光栅, 波前相因子, 夫琅禾费衍射, 微振动

Abstract: Based on cosine-style grating,the interference of diffraction by a double grating is studied theoretically with a wavefront phase-factors method. The patterns of Fraunhofer diffraction are shown by some formulas. Intensities’changing of each order diffraction is deduced as one grating translates along another horizontally and vertically. The intensities’changing figures are also shown by numerical simulation. These formulas form a foundation for experimental applications. One of these obvious applications is to measure the amplitude and the frequency of a harmonic micro-vibrating.

Key words: double grating, wavefront phase-factors, Fraunhofer diffraction, micro-vibrating