大学物理 ›› 2026, Vol. 45 ›› Issue (3): 26-.doi: 10.16854/j.cnki.1000-0712.250437

• 教学讨论 • 上一篇    下一篇

波动光学到几何光学的推导

陈亿   

  1. 重庆师范大学 数学科学学院,重庆401331
  • 收稿日期:2025-08-19 修回日期:2025-08-31 出版日期:2026-05-15 发布日期:2026-06-04
  • 作者简介:陈亿(2001—),女,重庆开州人,重庆师范大学数学科学学院2023级硕士生.

Derivation of geometric optics from wave optics

CHEN Yi   

  1. School of Mathematics, Chongqing Normal University, Chongqing 401331, China
  • Received:2025-08-19 Revised:2025-08-31 Online:2026-05-15 Published:2026-06-04

摘要: 国内传统的教材缺乏从波动光学到几何光学的推导过程. 本文通过几何光学近似,提供了一个从波动光学到几何光学的简洁明了的推导.与此同时,本文也顺带得到了光子的能量动量以及粒子数守恒定律与极化适量沿类光测地线的平行移动规律.

关键词: 无源麦克斯韦方程, 几何光学近似, 类光测地线, 守恒定律, 极化矢量

Abstract: There is no obvious derivation of geometric optics from wave optics in those conventional textbooks. This paper presents a concise derivation of geometric optics from wave optics by working with the geometric optics approximation. In passing, the conservation law for both energy momentum tensor and photon number current as well as the parallel transport of the polarized vector along the null geodesic is also obtained. 

Key words: source free Maxwell equation, geometric optics approximation, null geodesic, conservation law, polarized vector