Work

Inverse freeform design in non-imaging optics: Hamilton’s theory of geometrical optics, optimal transport, and least-squares solvers

Year: 2025

Type: article

Abstract: 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.

Source: Frontiers in Physics

DOI: 10.3389/fphy.2025.1518660

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: gold

Estimated APC paid: $3,077

Funder: Nederlandse Organisatie voor Wetenschappelijk Onderzoek