Computing Three-Dimensional Freeform Reflectors with a Scattering Surface

We present a novel approach to computing reflectors with a scattering surface in illumination optics. A scattering model governed by a Fredholm integral equation is derived. Solving this integral relation yields a virtual specular target distribution, which we insert into a Monge-Ampère least-square...

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Main Authors: Kronberg Vì C.E., Anthonissen Martijn J.H., ten Thije Boonkkamp Jan H.M., IJzerman Wilbert L.
Format: Article
Language:English
Published: EDP Sciences 2023-01-01
Series:EPJ Web of Conferences
Online Access:https://www.epj-conferences.org/articles/epjconf/pdf/2023/13/epjconf_eosam2023_02007.pdf
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author Kronberg Vì C.E.
Anthonissen Martijn J.H.
ten Thije Boonkkamp Jan H.M.
IJzerman Wilbert L.
author_facet Kronberg Vì C.E.
Anthonissen Martijn J.H.
ten Thije Boonkkamp Jan H.M.
IJzerman Wilbert L.
author_sort Kronberg Vì C.E.
collection DOAJ
description We present a novel approach to computing reflectors with a scattering surface in illumination optics. A scattering model governed by a Fredholm integral equation is derived. Solving this integral relation yields a virtual specular target distribution, which we insert into a Monge-Ampère least-squares numerical solver to get a scattering reflector that yields the desired illumination.
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spelling doaj.art-a30150cb3f964f2493a502ac250c888d2023-11-07T10:20:40ZengEDP SciencesEPJ Web of Conferences2100-014X2023-01-012870200710.1051/epjconf/202328702007epjconf_eosam2023_02007Computing Three-Dimensional Freeform Reflectors with a Scattering SurfaceKronberg Vì C.E.0Anthonissen Martijn J.H.1ten Thije Boonkkamp Jan H.M.2IJzerman Wilbert L.3Department of Mathematics and Computer Science, Eindhoven University of TechnologyDepartment of Mathematics and Computer Science, Eindhoven University of TechnologyDepartment of Mathematics and Computer Science, Eindhoven University of TechnologyDepartment of Mathematics and Computer Science, Eindhoven University of TechnologyWe present a novel approach to computing reflectors with a scattering surface in illumination optics. A scattering model governed by a Fredholm integral equation is derived. Solving this integral relation yields a virtual specular target distribution, which we insert into a Monge-Ampère least-squares numerical solver to get a scattering reflector that yields the desired illumination.https://www.epj-conferences.org/articles/epjconf/pdf/2023/13/epjconf_eosam2023_02007.pdf
spellingShingle Kronberg Vì C.E.
Anthonissen Martijn J.H.
ten Thije Boonkkamp Jan H.M.
IJzerman Wilbert L.
Computing Three-Dimensional Freeform Reflectors with a Scattering Surface
EPJ Web of Conferences
title Computing Three-Dimensional Freeform Reflectors with a Scattering Surface
title_full Computing Three-Dimensional Freeform Reflectors with a Scattering Surface
title_fullStr Computing Three-Dimensional Freeform Reflectors with a Scattering Surface
title_full_unstemmed Computing Three-Dimensional Freeform Reflectors with a Scattering Surface
title_short Computing Three-Dimensional Freeform Reflectors with a Scattering Surface
title_sort computing three dimensional freeform reflectors with a scattering surface
url https://www.epj-conferences.org/articles/epjconf/pdf/2023/13/epjconf_eosam2023_02007.pdf
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AT ijzermanwilbertl computingthreedimensionalfreeformreflectorswithascatteringsurface