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Monge-Ampère type equations for freeform illumination optics
Author(s): J. H. M. ten Thije Boonkkamp; L. B. Romijn; N. K. Yadav; W. L. IJzerman
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Paper Abstract

In this contribution we introduce the Monge-Ampère equation, defining the shape of a freeform surface, for several optical systems. We restrict ourselves to systems containing one or two freeform surfaces. 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(s). We demonstrate that our method can handle complicates source and target distributions.

Paper Details

Date Published: 28 May 2018
PDF: 15 pages
Proc. SPIE 10693, Illumination Optics V, 106930A (28 May 2018); doi: 10.1117/12.2313220
Show Author Affiliations
J. H. M. ten Thije Boonkkamp, Technische Univ. Eindhoven (Netherlands)
L. B. Romijn, Technische Univ. Eindhoven (Netherlands)
N. K. Yadav, Technische Univ. Eindhoven (Netherlands)
W. L. IJzerman, Technische Univ. Eindhoven (Netherlands)
Philips Lighting B.V. (Netherlands)


Published in SPIE Proceedings Vol. 10693:
Illumination Optics V
Tina E. Kidger; Stuart David, Editor(s)

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