Inverse freeform design in non-imaging optics: Hamilton’s theory of geometrical optics, optimal transport, and least-squares solvers
We present a systematic derivation of three mathematical models of increasing complexity for optical design, based on Hamilton’s characteristic functions and conservation of luminous flux, and briefly explain the connection with the mathematical theory of optimal transport. We outline several iterative least-squares solvers for our models and demonstrate their performance for a few challenging problems.
Authors
- Martijn Anthonissen (ORCID: https://orcid.org/0000-0003-3667-769X)
- Koondanibha Mitra (ORCID: https://orcid.org/0000-0002-8264-5982)
- Lisa Kusch (ORCID: https://orcid.org/0000-0001-7558-0618)
- W. L. IJzerman
- Pieter Braam
- J. H. M. ten Thije Boonkkamp
Institutions
- Signify (Netherlands) (NL)
- Eindhoven University of Technology (NL)
Publication Details
- Journal
- Frontiers in Physics
- Published
- 2025-05-09
- DOI
- https://doi.org/10.3389/fphy.2025.1518660
- Citations
- 5
- Primary Topic
- Advanced optical system design
- Type
- article
- Field-Weighted Citation Impact
- 3.37
Funders
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek