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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

2 Citations (Scopus)

2 Downloads (Pure)

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.

Original language	English
Title of host publication	Illumination Optics V
Publisher	SPIE
Number of pages	16
ISBN (Electronic)	9781510619234
DOIs	https://doi.org/10.1117/12.2313220
Publication status	Published - 1 Jan 2018
Event	Illumination Optics V 2018 - Frankfurt, Germany Duration: 14 May 2018 → 16 May 2018 https://spie.org/EOD/conferencedetails/illumination-optics?SSO=1

Publication series

Name	Proceedings of SPIE
Volume	10693

Conference

Conference	Illumination Optics V 2018
Country/Territory	Germany
City	Frankfurt
Period	14/05/18 → 16/05/18
Internet address	https://spie.org/EOD/conferencedetails/illumination-optics?SSO=1

Keywords

Energy conservation
Freeform optics
Least-squares method
Monge-Ampfiere equation
Optical map
Monge-Ampere equation

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1117/12.2313220

Cite this

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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",

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AU - IJzerman, W.L.

PY - 2018/1/1

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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.

KW - Energy conservation

KW - Freeform optics

KW - Least-squares method

KW - Monge-Ampfiere equation

KW - Optical map

KW - Monge-Ampere equation

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DO - 10.1117/12.2313220

M3 - Conference contribution

AN - SCOPUS:85049190686

T3 - Proceedings of SPIE

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PB - SPIE

T2 - Illumination Optics V 2018

Y2 - 14 May 2018 through 16 May 2018

ER -

Monge-Ampère type equations for freeform illumination optics

Abstract

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Conference

Keywords

UN SDGs

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