大学物理 ›› 2020, Vol. 39 ›› Issue (01): 23-25.doi: 10.16854 / j.cnki.1000-0712.190139

• 教学讨论 • 上一篇    下一篇

利用对称性原理推导几何光学三定律

牛冬梅   

  1. 中南大学物理与电子学院先进材料超微结构与超快过程研究所,湖南长沙 410083
  • 收稿日期:2019-03-29 修回日期:2019-04-30 出版日期:2020-01-20 发布日期:2020-03-01
  • 作者简介:牛冬梅(1969—),女,河南安阳人,中南大学物理与电子学院副教授,博士,目前主要从事激光与固体材料相互作用研究.
  • 基金资助:
    国家重点研发计划(2017YFA0206602 )资助

Deriving laws of geometrical optics using symmetry principle

NIU Dong-mei   

  1. Institute of Super-Microstructure and Ultrafast Process in Advanced Materials,School of Physics and Electronics,Central South University,Changsha,Hunan 410083,China
  • Received:2019-03-29 Revised:2019-04-30 Online:2020-01-20 Published:2020-03-01

摘要: 从对称性的角度,分析了光波在无限大均匀介质中、两种媒质的分界面上传播必须遵从的时间和空间平移不变性,推导出光的直线传播、反射以及折射定律,揭示了支配几何光学三定律的更为深刻而底层的对称性原因,这种视角对于光学部分的教学将产生深刻的影响.

关键词: 对称性, 反射, 折射, 直线传播

Abstract: The space and time symmetrical properties of optical wave and the medium have been analyzed. According to the symmetry principle the time translation symmetry and some of the space translation symmetry have to be preserved during light propagation,reflection and refraction processes,and the three geometrical optic laws of rectlinear propagation law,reflection law and refraction Snell’s law are derived. The symmetrical analysis here explicit that the symmetry principle is of fundamental importance and is the basement governing the optical processes.

Key words: symmetry, reflection, refraction, linear propagation