吸收介质中的费马原理和折射定律  

Fermat’s Principle and Snell’s Law in Absorbing Media

作　　者：罗天舒 周书伟[1] 湛奇昊 张秋长[1] LUO Tianshu;ZHOU Shuwei;ZAN Qihao;ZHANG Qiuzhang(Xiamen University Tan Kah Kee College,Zhangzhou Fujian 363105,China)

机构地区：[1]厦门大学嘉庚学院,福建漳州363105

出　　处：《上饶师范学院学报》2022年第3期28-33,共6页Journal of Shangrao Normal University

基　　金：福建省中青年教师教育科研项目(科技类)(JAT200928)。

摘　　要：通过定义复有效折射率,获得复光学路径长度,并利用费马原理研究了光在吸收介质界面的折射,获得光通过吸收介质界面时的折射定律。通过数值模拟计算可知:当入射角较大,且吸收介质的虚部较小时,传播的有效折射率可以用复折射率的实部代替计算;衰减的有效折射率随入射角的增大而变大,且虚部越大衰减的有效折射率也越大。By defining the complex effective refractive index, the complex optical path length has been obtained. Then the Fermat’s principle was used to study the light refraction of the absorbing media interface, and the Snell’s law in absorbing media have been obtained. The numerical simulation shows: when the incident angle is bigger, and the imaginary part of absorbing media is small, effective refractive index of propagation can be replaced with the real part of the complex refractive index;Attenuation of the effective refractive index increases with the increases of incident angle, and the larger the imaginary part, the larger attenuation of the effective refractive index.

关 键 词：费马原理 斯涅尔定律 复有效折射率 几何光学 

分 类 号：O435[机械工程—光学工程]