Generalized Monge-Ampère equations for illumination freeform design

J. H. M. ten Thije Boonkkamp; L. B. Romijn; W. L. IJzerman

doi:10.1117/12.2536482

19 November 2019 Generalized Monge-Ampère equations for illumination freeform design

J. H. M. ten Thije Boonkkamp, L. B. Romijn, W. L. IJzerman

Proceedings Volume 11185, Optical Design and Testing IX; 1118504 (2019) https://doi.org/10.1117/12.2536482
Event: SPIE/COS Photonics Asia, 2019, Hangzhou, China

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.

Citation Download Citation

J. H. M. ten Thije Boonkkamp, L. B. Romijn, and W. L. IJzerman "Generalized Monge-Ampère equations for illumination freeform design", Proc. SPIE 11185, Optical Design and Testing IX, 1118504 (19 November 2019); https://doi.org/10.1117/12.2536482

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