## Abstract

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.

Original language | English |
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Pages (from-to) | 25605-25625 |

Number of pages | 21 |

Journal | Optics Express |

Volume | 29 |

Issue number | 16 |

DOIs | |

Publication status | Published - 2 Aug 2021 |

### Bibliographical note

Funding Information:Funding. TKI HTSM consortium (IntelLight+) based on contributions from Signify, TU/e and Eindhoven Engine.

Publisher Copyright:

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