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Proceedings Paper

Generalized Monge-Ampère equations for illumination freeform design
Author(s): J. H. M. ten Thije Boonkkamp; L. B. Romijn; W. L. IJzerman
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Paper Abstract

In this contribution we introduce the (generalized) Monge-Ampere equation, defining the shape/location of an optical surface. In particular, we consider a lens with one freeform surface and a freeform reflector. For the lens we consider a source emitting a parallel bundle of light and for the reflector we assume a point source emitting light radially outward. In both cases the target distribution is a far-field intensity. As numerical solution method we propose a least-squares method, which is a two-stage method. In the first stage the optical map is computed, and subsequently in the second stage, the shape of the optical surface. We demonstrate that our method can handle complicated source and target distributions.

Paper Details

Date Published: 19 November 2019
PDF: 18 pages
Proc. SPIE 11185, Optical Design and Testing IX, 1118504 (19 November 2019); doi: 10.1117/12.2536482
Show Author Affiliations
J. H. M. ten Thije Boonkkamp, Eindhoven Univ. of Technology (Netherlands)
L. B. Romijn, Eindhoven Univ. of Technology (Netherlands)
W. L. IJzerman, Signify Research (Netherlands)

Published in SPIE Proceedings Vol. 11185:
Optical Design and Testing IX
Yongtian Wang; Pablo Benítez; Osamu Matoba, Editor(s)

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