We present a method for designing lenses with two aspherical surfaces having minimal Fresnel losses among the class of stigmatic lenses. Minimization of Fresnel losses is achieved by ensuring equal ray deviation angles on the lens surfaces. Calculation of lenses with minimal Fresnel losses is reduced to solving an explicit ordinary differential equation. Simple analytical approximations are also obtained for the lens profiles.

中文翻译：

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设计具有最小菲涅耳损失的柱头透镜

我们提出了一种设计具有两个非球面表面的透镜的方法，该透镜在象散透镜类中具有最小的菲涅耳损耗。通过确保透镜表面上的光线偏离角相等，可以最大限度地减少菲涅耳损耗。具有最小菲涅耳损耗的透镜的计算简化为求解显式常微分方程。还获得了透镜轮廓的简单解析近似值。