菲涅尔透镜的透射率优化方法

An Optimization Method on Transmittance of Fresnel Lens

本文采用菲涅尔公式,分析了光线在穿过不同介质时入射角透射率的影响,发现光线中s偏振光的透射率总小于p偏振光,且随入射角的增大下降较快,故以s偏振光的透射率作为菲涅尔透镜的优化目标。依据斯托克斯倒逆关系推导出三棱镜对s偏振光的"最优透射条件",并以此为依据,对平板式菲涅尔透镜进行了优化。最后,对不同曲面菲涅尔透镜的透光率做了比较分析,发现圆柱面和抛物面是比较理想的用于设计曲面菲涅尔透镜的曲面。

In this paper,Fresnel formula was implied to analyze the influence of incident angle on transrnittance when light goes through the interface of two media.It was found that the transrnittance of s-polarized light is always smaller than the p-polarized light and the decrement of s-polarized light is also faster than p-polarized light.Thus,the transrnittance of s-polarized light is defined as the optimizing parameter of Fresnel lens.The optimal transrnittance condition of prism was derived out by using Stokes＇ reversible relation,which was used for optimizing the structure of flat plate Fresnel lens.Finally,a comparative analysis on transrnittance with different surface of Fresnel lens was made.It was found that the cylindrical and parabolic surfaces are ideal for designing curved Fresnel lenses.