TY - JOUR
T1 - Fresnel reflections in inverse freeform lens design
AU - van Roosmalen, A.H.
AU - Anthonissen, M.J.H.
AU - IJzerman, W.L.
AU - ten Thije Boonkkamp, J.H.M.
PY - 2022/6/1
Y1 - 2022/6/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85130882603&partnerID=8YFLogxK
U2 - 10.1364/JOSAA.456028
DO - 10.1364/JOSAA.456028
M3 - Article
C2 - 36215534
SN - 1084-7529
VL - 39
SP - 1045
EP - 1052
JO - Journal of the Optical Society of America A, Optics, Image Science and Vision
JF - Journal of the Optical Society of America A, Optics, Image Science and Vision
IS - 6
ER -