Generalized Monge-Ampère equations for illumination freeform design

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Uittreksel

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-2Engels
TitelOptical Design and Testing IX
RedacteurenYongtian Wang, Pablo Benitez, Osamu Matoba
UitgeverijSPIE
Aantal pagina's18
ISBN van elektronische versie9781510630871
DOI's
StatusGepubliceerd - 19 nov 2019
EvenementOptical Design and Testing IX 2019 - Hangzhou, China
Duur: 21 okt 201922 okt 2019

Publicatie series

NaamProceedings of SPIE - The International Society for Optical Engineering
Volume11185
ISSN van geprinte versie0277-786X
ISSN van elektronische versie1996-756X

Congres

CongresOptical Design and Testing IX 2019
LandChina
StadHangzhou
Periode21/10/1922/10/19

Vingerafdruk

Illumination
Lighting
illumination
Reflector
reflectors
Lens
Lenses
Monge-Ampere equation
lenses
Monge-Ampère Equation
Free-form Surface
Target
Point Source
least squares method
Far Field
Least Square Method
Generalized Equation
point sources
bundles
far fields

Citeer dit

ten Thije Boonkkamp, J., Romijn, L., & IJzerman, W. (2019). Generalized Monge-Ampère equations for illumination freeform design. In Y. Wang, P. Benitez, & O. Matoba (editors), Optical Design and Testing IX [1118504] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11185). SPIE. https://doi.org/10.1117/12.2536482
ten Thije Boonkkamp, Jan ; Romijn, Lotte ; IJzerman, Wilbert. / Generalized Monge-Ampère equations for illumination freeform design. Optical Design and Testing IX. redacteur / Yongtian Wang ; Pablo Benitez ; Osamu Matoba. SPIE, 2019. (Proceedings of SPIE - The International Society for Optical Engineering).
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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.",
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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 (redactie), 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. redactie / 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/CongresprocedureConferentiebijdrageAcademicpeer 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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ten Thije Boonkkamp J, Romijn L, IJzerman W. Generalized Monge-Ampère equations for illumination freeform design. In Wang Y, Benitez P, Matoba O, redacteurs, Optical Design and Testing IX. SPIE. 2019. 1118504. (Proceedings of SPIE - The International Society for Optical Engineering). https://doi.org/10.1117/12.2536482