van Roosmalen A H, Anthonissen M J H, IJzerman W L, Ten Thije Boonkkamp J H M
J Opt Soc Am A Opt Image Sci Vis. 2022 Jun 1;39(6):1045-1052. doi: 10.1364/JOSAA.456028.
In this paper we propose a method to design a freeform lens including the effect of Fresnel reflections on the transmitted intensity. This method is elaborated for a lens with one freeform surface shaping a far-field target from a point source or collimated input beam. It combines the optical mapping with the energy balance incorporating the loss due to Fresnel reflections, which leads to a generalized Monge-Ampère equation. We adapt a least-squares solver from previous research to solve the model numerically. This is then tested with a theoretical example and a test case related to road lighting.
在本文中，我们提出了一种设计自由曲面透镜的方法，该方法考虑了菲涅耳反射对透射光强的影响。此方法针对具有一个自由曲面的透镜进行了详细阐述，该自由曲面可将点光源或准直输入光束整形为远场目标。它将光学映射与能量平衡相结合，其中纳入了由于菲涅耳反射造成的损耗，这导致了一个广义蒙日 - 安培方程。我们采用先前研究中的最小二乘求解器对该模型进行数值求解。随后通过一个理论示例和一个与道路照明相关的测试案例对其进行了测试。
