Monge-Ampère type equations for freeform illumination optics

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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.

Originele taal-2Engels
TitelIllumination Optics V
UitgeverijSPIE
Aantal pagina's16
ISBN van elektronische versie9781510619234
DOI's
StatusGepubliceerd - 1 jan 2018
EvenementIllumination Optics V 2018 - Frankfurt, Duitsland
Duur: 14 mei 201816 mei 2018
https://spie.org/EOD/conferencedetails/illumination-optics?SSO=1

Publicatie series

NaamProceedings of SPIE
Volume10693

Congres

CongresIllumination Optics V 2018
LandDuitsland
StadFrankfurt
Periode14/05/1816/05/18
Internet adres

Vingerafdruk

Optics
Illumination
Free-form Surface
Lighting
illumination
optics
least squares method
Least Square Method
Optical systems
Optical System
Numerical Solution
Target
Demonstrate

Citeer dit

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keywords = "Energy conservation, Freeform optics, Least-squares method, Monge-Ampfiere equation, Optical map",
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ten Thije Boonkkamp, JHM, Romijn, LB, Yadav, NK & IJzerman, WL 2018, Monge-Ampère type equations for freeform illumination optics. in Illumination Optics V., 106930A, Proceedings of SPIE, vol. 10693, SPIE, Illumination Optics V 2018, Frankfurt, Duitsland, 14/05/18. https://doi.org/10.1117/12.2313220

Monge-Ampère type equations for freeform illumination optics. / ten Thije Boonkkamp, J.H.M.; Romijn, L.B.; Yadav, N.K.; IJzerman, W.L.

Illumination Optics V. SPIE, 2018. 106930A (Proceedings of SPIE; Vol. 10693).

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

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