光在复折射率介质界面的反射与折射  

The Reflection and Refraction of Light at Absorbing Medium Interface

作　　者：张秋长[1] 罗天舒 ZHANG Qiuzhang,LUO Tianshu(Tan Kah Kee College Xiamen University, Zhangzhou Fujian 363105, Chin)

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》2018年第3期15-22,共8页Journal of Shangrao Normal University

基　　金：厦门大学嘉庚学院校级科研孵化项目(2017L05)

摘　　要：通过研究光在复折射率介质中的传播,获得光波在复折射率介质中传播和衰减的有效折射率N_s和N_q的表达式,它们的值由介质的复折射率、等幅面和等相面的单位矢量q和s之间的夹角决定;折射边的有效折射率除了与折射边的复折射率有关外,还与入射光的入射角和入射介质的有效折射率有关。根据光的传播表达式,分别运用相应的Snell定律,获得了光在两复折射率介质界面的菲涅耳(Fresnel)公式,可知反射和透射系数与入射角、吸收性介质的复折射率有关,而且与入射光两单位矢量之间的夹角有关,并将Fresnel公式推广至任意两界面组合的情况下,且光通过两复折射率介质的Fresnel公式可退化为介质/介质的特殊情况。The light propagation within an absorbing medium are studied,the light propagation and attenuation effective refractive indices Ns and Nq have been obtained,their values depend not only on the complex refractive index but also on the angle between the planes of constant phase and of constant amplitude.But the effective refractive indices of refraction medium depend on the refractive index of the refracted medium and the parameters of incident wave.With the expression for the light propagation,using the corresponding boundary conditions,the Fresnel formula of the light through the interface of two absorbing medium have been obtained.This work can be applied to the interface of the media,wherein either/both of them is/are absorbing or transparent.

关 键 词：几何光学 复折射率 光传输 菲涅耳公式 

分 类 号：O435[机械工程—光学工程]