Freeform design of a two-reflector system to collimate and shape a point source distribution

We present a method to design a freeform two-reflector system to collimate and shape a beam from a point source. An important generalization compared to previous research is that the output beam can be in an arbitrary direction. The design problem is based on a generalized Monge-Ampère equation. Thi...

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Autores principales:	van Roosmalen A.H., Anthonissen M.J.H., IJzerman W.L., ten Thije Boonkkamp J.H.M.
Formato:	article
Lenguaje:	EN
Publicado:	EDP Sciences 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/90e1756398e745008cdcbbf929e07462
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spelling	oai:doaj.org-article:90e1756398e745008cdcbbf929e074622021-12-02T17:12:51ZFreeform design of a two-reflector system to collimate and shape a point source distribution2100-014X10.1051/epjconf/202125502002https://doaj.org/article/90e1756398e745008cdcbbf929e074622021-01-01T00:00:00Zhttps://www.epj-conferences.org/articles/epjconf/pdf/2021/09/epjconf_eosam2021_02002.pdfhttps://doaj.org/toc/2100-014XWe present a method to design a freeform two-reflector system to collimate and shape a beam from a point source. An important generalization compared to previous research is that the output beam can be in an arbitrary direction. The design problem is based on a generalized Monge-Ampère equation. This equation is solved using a least-squares algorithm for non-quadratic cost functions. We test our algorithm on two cases, first, uniform source and target distributions, and second, an elliptic Gaussian intensity of a laser diode to a ring-shaped illuminance. We are able to obtain good solutions in both cases.van Roosmalen A.H.Anthonissen M.J.H.IJzerman W.L.ten Thije Boonkkamp J.H.M.EDP SciencesarticlePhysicsQC1-999ENEPJ Web of Conferences, Vol 255, p 02002 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 van Roosmalen A.H. Anthonissen M.J.H. IJzerman W.L. ten Thije Boonkkamp J.H.M. Freeform design of a two-reflector system to collimate and shape a point source distribution
description	We present a method to design a freeform two-reflector system to collimate and shape a beam from a point source. An important generalization compared to previous research is that the output beam can be in an arbitrary direction. The design problem is based on a generalized Monge-Ampère equation. This equation is solved using a least-squares algorithm for non-quadratic cost functions. We test our algorithm on two cases, first, uniform source and target distributions, and second, an elliptic Gaussian intensity of a laser diode to a ring-shaped illuminance. We are able to obtain good solutions in both cases.
format	article
author	van Roosmalen A.H. Anthonissen M.J.H. IJzerman W.L. ten Thije Boonkkamp J.H.M.
author_facet	van Roosmalen A.H. Anthonissen M.J.H. IJzerman W.L. ten Thije Boonkkamp J.H.M.
author_sort	van Roosmalen A.H.
title	Freeform design of a two-reflector system to collimate and shape a point source distribution
title_short	Freeform design of a two-reflector system to collimate and shape a point source distribution
title_full	Freeform design of a two-reflector system to collimate and shape a point source distribution
title_fullStr	Freeform design of a two-reflector system to collimate and shape a point source distribution
title_full_unstemmed	Freeform design of a two-reflector system to collimate and shape a point source distribution
title_sort	freeform design of a two-reflector system to collimate and shape a point source distribution
publisher	EDP Sciences
publishDate	2021
url	https://doaj.org/article/90e1756398e745008cdcbbf929e07462
work_keys_str_mv	AT vanroosmalenah freeformdesignofatworeflectorsystemtocollimateandshapeapointsourcedistribution AT anthonissenmjh freeformdesignofatworeflectorsystemtocollimateandshapeapointsourcedistribution AT ijzermanwl freeformdesignofatworeflectorsystemtocollimateandshapeapointsourcedistribution AT tenthijeboonkkampjhm freeformdesignofatworeflectorsystemtocollimateandshapeapointsourcedistribution
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Freeform design of a two-reflector system to collimate and shape a point source distribution

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