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

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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-Ampère 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 of a laser diode light source and a ring-shaped target distribution.

Originele taal-2Engels
Pagina's (van-tot)25605-25625
Aantal pagina's21
TijdschriftOptics Express
Nummer van het tijdschrift16
StatusGepubliceerd - 2 aug. 2021

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© 2021 Optical Society of America under the terms of the OSA Open Access Publishing Agreement.


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