非磁性界面光波磁场量的菲涅耳公式  

On the Fresnel formula of light magnetic field through non-magnetic interface

作　　者：谭长明[1] 范希智[2] 成云舟[2] 易迎彦[2] 陈清明[2] 祝霁洺[2] 

机构地区：[1]鞍山师范学院商学院,辽宁鞍山114005 [2]武汉理工大学物理系,湖北武汉430070

出　　处：《光学仪器》2013年第6期64-68,90,共6页Optical Instruments

基　　金：湖北省教育厅教学研究基金资助项目(2008081)

摘　　要：为分析光波入射到非磁性光学界面时磁场量H的变化,根据电场量E、H、波矢k之间的关系推导了光波在非磁性光学界面上磁场量H的s分量的反射系数rHs、透射系数tHs和p分量的反射系数rHp和透射系数tHp的表达式,即得出非磁性光学界面上磁场量H的菲涅耳公式。这些公式等价于非磁性光学界面上电场量E的菲涅耳公式。rHs等于电场量E的p分量的反射系数rEp;而rHp等于电场量E的s分量的反射系数rEs。利用rHp和rHs解释了光波在非磁性光学界面上折射和反射时出现的π位相跃变效应和布儒斯特效应等重要现象。In order to investigate the change of light magnetic field H when the light was incident to the non-magnetic optical interface,according to the fact that light electrical field E,H and wave vector k act in accordance with the right-hand rule especially that E is perpendicular with H,utilizing the magnitude relation between E and H,combined with the boundary conditions of E and H that their tangential components on interface are continuous,the expressions of the reflection coefficients rHs,rHp and transmission coefficients tHs,tHp for s and p components of light magnetic field are respectively derived; namely the so-called Fresnel formula of light magnetic field through non-magnetic interface are obtained.Although these formula are equivalent with those for the light electrical field through non-magnetic interface,but only rHs is equal to the reflection coefficient rEp of the p component for the light electrical field and rHp is equal to the reflection coefficient rE of the s component for the light electrical filed.Some important phenomena such as π phase jump effect and Brewster phenomenon could also be explained utilizing rHp and rHs.

关 键 词：菲涅耳公式 π位相跃变 布儒斯特现象 

分 类 号：O436.1[机械工程—光学工程]