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arXiv · 2202.07984

Fresnel reflections in inverse freeform lens design

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

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-Amp\`ere 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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A. H. van Roosmalen, M. J. H. Anthonissen, W. L. IJzerman, J. H. M. ten Thije Boonkkamp. 2022-02-16. Fresnel reflections in inverse freeform lens design. https://doi.org/10.1364/josaa.456028

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