论文标题

反向自由式镜头设计中的菲涅尔反射

Fresnel reflections in inverse freeform lens design

论文作者

van Roosmalen, A. H., Anthonissen, M. J. H., IJzerman, W. L., Boonkkamp, J. H. M. ten Thije

论文摘要

在本文中,我们提出了一种设计自由形式镜头的方法,包括菲涅尔反射对传输强度的影响。对于一个自由形式表面的镜头,对此方法进行了详细说明,从点源或准直的输入梁塑造了远场目标。它结合了光学映射与能量平衡结合了由于菲涅尔反射引起的损失,从而导致了广义的Monge-Ampère方程。我们从以前的研究中调整了最小二乘求解器,以数值求解该模型。然后通过理论示例和与道路照明有关的测试案例进行测试。

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.

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