https://doi.org/10.1051/epjconf/202023802001
Numerically solving generated Jacobian equations in freeform optical design
1 Eindhoven University of Technology (TU/e), Department of Mathematics and Computer Science, PO Box 513, 5600 MB Eindhoven, The Netherlands
2 Signify Research, High Tech Campus 7, 5656 AE Eindhoven, The Netherlands
* e-mail: l.b.romijn@tue.nl
** e-mail: m.j.h.anthonissen@tue.nl
*** e-mail: j.h.m.tenthijeboonkkamp@tue.nl
**** e-mail: wilbert.ijzerman@signify.com
Published online: 20 August 2020
We present an efficient numerical algorithm that can be used to solve the generalized Monge-Ampère equations for a single freeform reflector and lens surface. These equations are instances of so-called ‘generated Jacobian equations’ which are characterized by associated generating functions. The algorithm has a wide applicability to any optical system that can be described by a smooth generating function.
© The Authors, published by EDP Sciences, 2020
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.
