Generalized Monge-Ampère equations for illumination freeform design

Jan ten Thije Boonkkamp; Lotte Romijn; Wilbert IJzerman

doi:10.1117/12.2536482

Generalized Monge-Ampère equations for illumination freeform design

Jan ten Thije Boonkkamp, Lotte Romijn, Wilbert IJzerman

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

4 Citaten (Scopus)

1 Downloads (Pure)

Samenvatting

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.

Originele taal-2	Engels
Titel	Optical Design and Testing IX
Redacteuren	Yongtian Wang, Pablo Benitez, Osamu Matoba
Uitgeverij	SPIE
Aantal pagina's	18
ISBN van elektronische versie	9781510630871
DOI's	https://doi.org/10.1117/12.2536482
Status	Gepubliceerd - 19 nov. 2019
Evenement	Optical Design and Testing IX 2019 - Hangzhou, China Duur: 21 okt. 2019 → 22 okt. 2019

Publicatie series

Naam	Proceedings of SPIE - The International Society for Optical Engineering
Volume	11185
ISSN van geprinte versie	0277-786X
ISSN van elektronische versie	1996-756X

Congres

Congres	Optical Design and Testing IX 2019
Land/Regio	China
Stad	Hangzhou
Periode	21/10/19 → 22/10/19

Financiering

This work is part of the research program ‘STW Perspectief’ with project financed by the Netherlands Organisation for Scientific Research (NWO).

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

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.",

keywords = "Energy conservation, Freeform optics, Generalized Monge-Amp{\`e}re equation, Leastsquares method, Optical map, generalized Monge-Ampere equation, energy conservation, least-squares method, optical map",

author = "{ten Thije Boonkkamp}, Jan and Lotte Romijn and Wilbert IJzerman",

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editor = "Yongtian Wang and Pablo Benitez and Osamu Matoba",

booktitle = "Optical Design and Testing IX",

address = "United States",

note = "Optical Design and Testing IX 2019 ; Conference date: 21-10-2019 Through 22-10-2019",

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ten Thije Boonkkamp, J, Romijn, L & IJzerman, W 2019, Generalized Monge-Ampère equations for illumination freeform design. in Y Wang, P Benitez & O Matoba (uitgave), Optical Design and Testing IX., 1118504, Proceedings of SPIE - The International Society for Optical Engineering, vol. 11185, SPIE, Optical Design and Testing IX 2019, Hangzhou, China, 21/10/19. https://doi.org/10.1117/12.2536482

Generalized Monge-Ampère equations for illumination freeform design. / ten Thije Boonkkamp, Jan; Romijn, Lotte; IJzerman, Wilbert.
Optical Design and Testing IX. uitgave / Yongtian Wang; Pablo Benitez; Osamu Matoba. SPIE, 2019. 1118504 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11185).

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

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N2 - 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.

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Generalized Monge-Ampère equations for illumination freeform design

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Publicatie series

Congres

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