Inverse methods for freeform optical design

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Abstract

We present several geometrical models for freeform optical design based on Hamilton’s characteristic functions, which can be either expressed in terms of a cost function or a generating function. These models are closed with a conservation law for luminous flux. We give an example of a near-field problem where a collimated beam is converted into a target distribution on a sphere.

Original languageEnglish
Title of host publicationOptical Design and Testing XIV
EditorsYongtian Wang, Tina E. Kidger, Rengmao Wu
PublisherSPIE
Number of pages8
ISBN (Electronic)9781510682030
ISBN (Print)9781510682023
DOIs
Publication statusPublished - 27 Nov 2024
EventOptical Design and Testing XIV 2024 - Nantong, China
Duration: 13 Oct 202415 Oct 2024

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume13237
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferenceOptical Design and Testing XIV 2024
Country/TerritoryChina
CityNantong
Period13/10/2415/10/24

Keywords

  • conservation of luminous flux
  • cost function
  • generating function
  • Geometrical optics
  • Hamilton’s characteristic functions

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