Fresnel reflections in inverse freeform lens design
Optics
2022-06-01 v1
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.
Keywords
Cite
@article{arxiv.2202.07984,
title = {Fresnel reflections in inverse freeform lens design},
author = {A. H. van Roosmalen and M. J. H. Anthonissen and W. L. IJzerman and J. H. M. ten Thije Boonkkamp},
journal= {arXiv preprint arXiv:2202.07984},
year = {2022}
}