光在两单轴晶体间界面的反射和透射

Reflection and transmission at interface of uniaxial crystals

根据位相匹配条件和应该满足的边界方程,在光轴取向任意的条件下,得到了光在两单轴晶体界面的反射和折射的理论表达式,给出了更普遍的公式计算光能量损失以及两束折射光的能量比。数值模拟表明所得结果满足能量守恒,光轴的取向和入射角大小对晶体中折射的o光、e光的能量比有重大影响,但是对反射率影响很小。只要知道了晶体的有关参数及入射条件,利用所给表达式可以计算各光束光能量比,为晶体器件特性研究提供了有力的工具。由于对光轴取向和入射角度没有任何限制,公式具有普遍性。

According to the phase matching and the boundary equations,theoretical expressions of the reflections and the refractions at interface between sequential uniaxial crystals are obtained as the orientations of optical axes are arbitrary.The general expressions to calculate the energy loss of the light and the energy ratio between two refracted beams are deduced.The numerical simulations are given to show that the results are accordant with conservation of energy.The directions of optical axes as well as the magnitude of incident angle have great influence on the energy ratio of the refracted o ray and the refracted e ray but little effect on reflectivity.The energy ratio can be calculated,only the parameters of crystals and the incidence conditions are known,it will provide the theoretical basis for developing and applying crystal devices.The given formulates are general and representative,because the orientation of optical axes and the magnitude of incident angle all can be arbitrary.