TY - JOUR

T1 - Design of a freeform two-reflector system to collimate and shape a point source distribution

AU - van Roosmalen, A.H. (Teun)

AU - Anthonissen, Martijn J.H.

AU - IJzerman, Wilbert L.

AU - ten Thije Boonkkamp, Jan H.M.

PY - 2021/4

Y1 - 2021/4

N2 - In this paper we propose a method to compute a freeform reflector system for collimating and shaping a beam from a point source. We construct these reflectors such that the radiant intensity of the source is converted into a desired target. An important generalization in our approach compared to previous research is that the output beam can be in an arbitrary direction. The design problem is approached by using a generalized Monge-Ampere equation. This equation is solved using a least-squares algorithm for non-quadratic cost functions. This algorithm calculates the optical map, from which we can then compute the surfaces. We test our algorithm on two cases. First we consider a uniform source and target distribution. Next, we use the model for a laser diode light source and a ring-shaped target distribution.

AB - In this paper we propose a method to compute a freeform reflector system for collimating and shaping a beam from a point source. We construct these reflectors such that the radiant intensity of the source is converted into a desired target. An important generalization in our approach compared to previous research is that the output beam can be in an arbitrary direction. The design problem is approached by using a generalized Monge-Ampere equation. This equation is solved using a least-squares algorithm for non-quadratic cost functions. This algorithm calculates the optical map, from which we can then compute the surfaces. We test our algorithm on two cases. First we consider a uniform source and target distribution. Next, we use the model for a laser diode light source and a ring-shaped target distribution.

U2 - 10.48550/arXiv.2104.04468

DO - 10.48550/arXiv.2104.04468

M3 - Article

VL - 2021

JO - arXiv

JF - arXiv

M1 - 2104.04468

ER -