介质折射率的光线光学方法

介质折射率的光线光学方法

郭守月¹, 曹春斌¹, 孙兆奇²

1. 安徽农业大学理学院, 合肥 230036; 2. 安徽大学物理与材料科学学院, 合肥 230039

收稿日期:2007-09-21 修回日期:1900-01-01 出版日期:2008-09-26 发布日期:2008-09-26
通讯作者: 郭守月

Refractive Indices of Medium by Light-ray Optics Methods

GUO Shou yue¹, CAO Chun bin¹, SUN Zhao qi²

1. School of Sciences, Anhui Agricultural University, Hefei 230036, China;2. School of Physics and Material Science, Anhui University, Hefei 230039, China

Received:2007-09-21 Revised:1900-01-01 Online:2008-09-26 Published:2008-09-26
Contact: GUO Shou yue

摘要/Abstract

摘要： 利用光线光学（费马）原理和光线族方程, 推导出平面直角坐标系下的光线方程和折射率方程, 并给出极坐标下折射率方程的表达式. 通过求解平面直角坐标下柱形透镜的辐射型折射率和极坐标下介质的辐射型折射率, 并应用折射率方程, 得出与实际结果相符的结论. 

关键词: 光线光学, 折射率方程, 费马原理, 光线族方程

Abstract: Two interdependent differentiation equations between the ray cluster equation and dielectric refractive index function, i.e., light\|ray equation and refractive index equation were derived via Fermat principle and ray cluster equation. The expression of refractive index equation was presented in polar coordinate. Furthermore, the refractive index equation was applied to solving radial pattern index of cylinder lens in plane rectangular coordinates and radial pattern dielectric index in polar coordinate. The theoretical results are in good agreement with the facts.

Key words: light-ray optics, refractive index equation, Fermat principle, ray cluster equation

中图分类号:

O435.1

郭守月, 曹春斌, 孙兆奇. 介质折射率的光线光学方法[J]. J4, 2008, 46(05): 967-970.

GUO Shou yue, CAO Chun bin, SUN Zhao qi. Refractive Indices of Medium by Light-ray Optics Methods[J]. J4, 2008, 46(05): 967-970.

[1]	沈继红, 李加莲. 贪婪光线寻优算法的局部收敛性分析[J]. J4, 2012, 50(02): 208-212.
[2]	郭守月, 曹春斌, 孙兆奇. 光线与两种GRIN介质界线的关系式及应用[J]. J4, 2009, 47(02): 345-349.