基于Maxwell电磁论的波动方程与光线轨迹方程  

Wave Equation and Equation of the Ray Track Based on Maxwell Electromagnetic Theory

作　　者：郭守月[1] 周倩[1] 袁兴红[1] 穆姝慧[1] 冯克成[2] 

机构地区：[1]安徽农业大学理学院,合肥230036 [2]长春理工大学理学院,长春130022

出　　处：《吉林大学学报（理学版）》2013年第6期1151-1154,共4页Journal of Jilin University:Science Edition

基　　金：安徽省自然科学研究重点项目(批准号:KJ2011Z118)

摘　　要：由Maxwell方程组推导光的波动方程及光在变折射率介质中"运动"时振幅矢量满足的微分方程式.结果表明:光由波动观的"波"到光线(几何)光学的"线"是有条件的过渡;用波的概念与简谐振动方法或用光线的概念与几何方法,二者表象对立实质统一,统一于对光传播特性较全面的认识上.The wave equation of light and the differential equation,which describes the amplitude of electric or magnetic field vectors when the ray of light is ＂moving＂ in the medium with varying refractive index,were derived by the Maxwell＇s equations.The differential equation shows that transformation from ＂wave＂ in the view of wave optics to ＂line＂ in the view of geometrical optics is a conditional change of physical character.It is also shown that both the representations of the concept of wave and method of simple harmonic vibration or concept of light ray and method of geometry,are opposite but actually are unified,i.e,reaching the same goal of comprehensive understanding on the propagation characteristics of light by different means.

关 键 词：MAXWELL方程组 波动光学 几何光学 程函方程 光线(轨迹)方程 

分 类 号：O435[机械工程—光学工程]