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耗的凸透镜

我们提出了一种用于设计具有两个非球面的透镜的方法，该透镜具有在散光透镜类别中最小的菲涅耳损耗。菲涅耳损失的最小化是通过确保透镜表面上相等的光线偏移角来实现的。减少菲涅耳损耗最小的透镜的计算可以解决一个明确的常微分方程。还可以得到镜片轮廓的简单解析近似值。