Work

Freeform optical design: mathematical models and numerical methods

Year: 2025

Type: conference-abstract

Abstract: We present a systematic derivation of several mathematical models for inverse freeform optical design, based on Hamilton’s characteristic functions and conservation of luminous flux. Optimal transport theory is the correct mathematical framework to formulate optical design problems. We apply this theory to close our models, such that these are suitable for numerical simulation. We outline several iterative least-squares solvers and demonstrate their performance for a few example problems.

DOI: 10.1117/12.3073419

Authors: J. H. M. ten Thije Boonkkamp, K. Mitra, M. J. H. Anthonissen, L. Kusch, P. A. Braam, W. L. IJzerman

Institutions: Eindhoven University of Technology, Signify (Netherlands)

Language: English

Topic: Advanced optical system design

Subfield: Biomedical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Nederlandse Organisatie voor Wetenschappelijk Onderzoek

Award: OPTIC - Optical coherence; optimal delivery and positioning

OpenAlex ID: W4416377273

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Cited by: 1

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