光轴取向任意时单轴晶体内表面上的双反射

根据入射光、反射光和折射光之间的位相匹配条件,利用晶体的折射率面,通过作图法,分析了光轴取向任意,寻常光和非寻常光从单轴晶体入射到各向同性介质时界面上的双反射和折射.从图上直接得到了反射光波和折射光波的位置,然后利用几何关系,得到了光波反射角和光波折射角的解析表达式.根据介质中光波与光线的关系,进一步分析了反射光线和折射光线的位置,并给出了光波与光线的离散角、光线反射角和光线折射角的解析表达式.该方法简单直观,结果具有一般性.

Double reflection at uniaxial crystal internal surface with arbitrary orientation of optical axis

Double reflection and refraction at uniaxial crystal surface with arbitrary orientation of opti- cal axis, when an ordinary wave and an extraordinary wave incident on the surface from crystal, are analysed respectively through plotting,based on refractive index surface of uniaxial crystal and phase matching condiction among incident light, reflected light and refracted light. Directions of reflected wave and refracted wave can be plotted on the chart. Expressions of wave reflected angle and wave re- fracted angle are obtained by use of geometry. According to the relations of light wave and light ray in media, directions of reflected ray and refracted ray are analyzed. Expressions of separation angle be- tween light wave and light ray, ray reflected angle and ray refracted angle are given. The method is simple and visual. The formulae are representative.