Generating function formulation for inverse freeform 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. The models are closed with an energy balance. We give an example of an inverse design for a near-field optical system.

Original languageEnglish
Title of host publicationIllumination Optics VII
EditorsTina E. Kidger, Stuart David, Thorsten Schupp
PublisherSPIE
Number of pages9
ISBN (Electronic)9781510673632
ISBN (Print)9781510673625
DOIs
Publication statusPublished - 17 Jun 2024
EventIllumination Optics VII 2024 - Strasbourg, France
Duration: 8 Apr 20249 Apr 2024

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume13022
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferenceIllumination Optics VII 2024
Country/TerritoryFrance
CityStrasbourg
Period8/04/249/04/24

Funding

FundersFunder number
Nederlandse Organisatie voor Wetenschappelijk OnderzoekP21-20

    Keywords

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

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