GRIN介质中的程函方程与光线方程  

Eikonal Equation and Equation of Ray in GRIN Media

作　　者：郭守月[1] 穆姝慧[1] 袁兴红[1] 周倩[1] 

机构地区：[1]安徽农业大学理学院,合肥230036

出　　处：《吉林大学学报（理学版）》2011年第3期533-536,共4页Journal of Jilin University:Science Edition

基　　金：安徽省高校自然科学研究重点项目基金(批准号:KJ2011Z118)

摘　　要：由变折射率(GRIN)介质中光程的定义,不需借助近似理论直接推出程函方程(eikonalequation),再由程函方程推得光线方程的矢量形式,并将矢量形式化简为光线方程的标量形式.应用实例表明该公式更适于已知折射率变化规律的条件下确定光线的轨迹方程.With the aid of the definition of optical length in gradient index（GRIN） medium,the eikonal equation was deduced without the help of approximate theory,then the vector form of ray equation can be derived by eikonal equation,and finally the vector form of ray equation was simplified into its scalar form.The results of application example show that the equation is especially applicable to determine the equation of ray track in terms of known variation law of refractive index.

关 键 词：变折射率介质 光程函数 程函方程 光线轨迹方程 光线方程 

分 类 号：O435[机械工程—光学工程]