Inverse methods for freeform optical design

2024/11/01 by J. H. M. ten Thije Boonkkamp, Koondanibha Mitra, Boonkkamp, J. H. M. ten Thije +9 · 1 citation
Engineering · Materials Science · #Advanced optical system design #FOS: Physical sciences #Mathematical Physics (math-ph) #Optical Coatings and Gratings #Optics (physics.optics) #Photonic and Optical Devices

paper · pdf · doi:10.48550/arxiv.2411.00758

openalex publication_date 2024/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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