Monge-Ampère type equations for freeform illumination optics

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

doi:10.1117/12.2313220

Monge-Ampère type equations for freeform illumination optics

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

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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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-2	Engels
Titel	Illumination Optics V
Uitgeverij	SPIE
Aantal pagina's	16
ISBN van elektronische versie	9781510619234
DOI's	https://doi.org/10.1117/12.2313220
Status	Gepubliceerd - 1 jan. 2018
Evenement	Illumination Optics V 2018 - Frankfurt, Duitsland Duur: 14 mei 2018 → 16 mei 2018 https://spie.org/EOD/conferencedetails/illumination-optics?SSO=1

Publicatie series

Naam	Proceedings of SPIE
Volume	10693

Congres

Congres	Illumination Optics V 2018
Land/Regio	Duitsland
Stad	Frankfurt
Periode	14/05/18 → 16/05/18
Internet adres	https://spie.org/EOD/conferencedetails/illumination-optics?SSO=1

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title = "Monge-Amp{\`e}re type equations for freeform illumination optics",

abstract = "In this contribution we introduce the Monge-Amp{\`e}re 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.",

keywords = "Energy conservation, Freeform optics, Least-squares method, Monge-Ampfiere equation, Optical map, Monge-Ampere equation",

author = "{ten Thije Boonkkamp}, J.H.M. and L.B. Romijn and N.K. Yadav and W.L. IJzerman",

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N2 - 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.

AB - 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.

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KW - Freeform optics

KW - Least-squares method

KW - Monge-Ampfiere equation

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KW - Monge-Ampere equation

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Monge-Ampère type equations for freeform illumination optics

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