Monge-Ampère type equations for freeform illumination optics

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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 languageEnglish
Title of host publicationIllumination Optics V
PublisherSPIE
Number of pages16
ISBN (Electronic)9781510619234
DOIs
Publication statusPublished - 1 Jan 2018
EventIllumination Optics V 2018 - Frankfurt, Germany
Duration: 14 May 201816 May 2018
https://spie.org/EOD/conferencedetails/illumination-optics?SSO=1

Publication series

NameProceedings of SPIE
Volume10693

Conference

ConferenceIllumination Optics V 2018
CountryGermany
CityFrankfurt
Period14/05/1816/05/18
Internet address

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Keywords

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

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