English

Inverse methods for freeform optical design

Optics 2024-11-04 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.2411.00758,
  title  = {Inverse methods for freeform optical design},
  author = {J. H. M. ten Thije Boonkkamp and K. Mitra and M. J. H. Anthonissen and L. Kusch and P. A. Braam and W. L. IJzerman},
  journal= {arXiv preprint arXiv:2411.00758},
  year   = {2024}
}

Comments

23 pages

R2 v1 2026-06-28T19:44:33.555Z