| Issue |
EPJ Web Conf.
Volume 266, 2022
EOS Annual Meeting (EOSAM 2022)
|
|
|---|---|---|
| Article Number | 02003 | |
| Number of page(s) | 2 | |
| Section | Topical Meeting (TOM) 2- Computational, Adaptive and Freeform Optics | |
| DOI | https://doi.org/10.1051/epjconf/202226602003 | |
| Published online | 13 October 2022 | |
https://doi.org/10.1051/epjconf/202226602003
Design of optical surfaces conform the hyperbolic Monge-Ampère equation
1 CASA, Department of Mathematics and Computer Science, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands
2 Signify Research, High Tech Campus 7, 5656 AE Eindhoven, The Netherlands
* e-mail: m.w.m.c.bertens@tue.nl
Published online: 13 October 2022
We present a method for designing freeform optical surfaces for illumination optics. By the laws of reflection, refraction and conservation of energy, a fully nonlinear PDE, the Monge-Ampere equation, is derived for the optical surface. By the edge ray principle a transport boundary condition is obtained. We solve the hyperbolic variant of the PDE using a least-squares method, resulting in optical saddle surfaces for a parallel source and far-field target.
© The Authors, published by EDP Sciences
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.