A Monge-Ampère Least-Squares Solver for the Design of a Freeform Lens

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Samenvatting

Designing freeform optical surfaces that control the redistribution of light from a particular source distribution to a target irradiance poses challenging problems in the field of illumination optics. There exists a wide variety of strategies in academia and industry, and there is an interesting link with optimal transport theory. Many freeform optical design problems can be formulated as a generalized Monge-Ampère equation. In this paper, we consider the design of a single freeform lens that converts the light from an ideal point source into a far-field target. We derive the generalized Monge-Ampère equation and numerically solve it using a generalized least-squares algorithm. The algorithm first computes the optical map and subsequently constructs the optical surface. We show that the numerical algorithm is capable of computing a lens surface that produces a projection of a painting on a screen in the far field.

Originele taal-2Engels
TitelNumerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference
RedacteurenFred J. Vermolen, Cornelis Vuik
Plaats van productieCham
UitgeverijSpringer
Pagina's833-840
Aantal pagina's8
ISBN van elektronische versie978-3-030-55874-1
ISBN van geprinte versie9783030558734
DOI's
StatusGepubliceerd - 3 mei 2021
EvenementEuropean Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2019 - Egmond aan Zee, Nederland
Duur: 30 sep 20194 okt 2019

Publicatie series

NaamLecture Notes in Computational Science and Engineering
Volume139
ISSN van geprinte versie1439-7358
ISSN van elektronische versie2197-7100

Congres

CongresEuropean Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2019
LandNederland
StadEgmond aan Zee
Periode30/09/194/10/19

Bibliografische nota

Funding Information:
This work is part of the research program NWO-TTW Perspectief with project number P15-36, which is (partly) financed by the Netherlands Organisation for Scientific Research (NWO).

Publisher Copyright:
© 2021, Springer Nature Switzerland AG.

Vingerafdruk Duik in de onderzoeksthema's van 'A Monge-Ampère Least-Squares Solver for the Design of a Freeform Lens'. Samen vormen ze een unieke vingerafdruk.

Citeer dit