English

An inverse design method for generalized zero-\'etendue sources and two targets

Optics 2025-11-18 v1

Abstract

We present an inverse method to compute freeform optical surfaces that transform a light distribution, parameterized by two source planes, into two separate target distributions. The surfaces can be reflectors or lenses, and control both the spatial and directional source and target coordinates of light rays. From energy conservation we derive Jacobian equations for optical mappings, and the optical path length provides generating functions for the optical surfaces. A three-stage least-squares algorithm numerically solves the resulting equations. We present examples with complex source and target distributions.

Keywords

Cite

@article{arxiv.2511.13165,
  title  = {An inverse design method for generalized zero-\'etendue sources and two targets},
  author = {Pieter Braam and Jan ten Thije Boonkkamp and Martijn Anthonissen and Koondanibha Mitra and Lisa Kusch and Wilbert IJzerman},
  journal= {arXiv preprint arXiv:2511.13165},
  year   = {2025}
}
R2 v1 2026-07-01T07:40:48.668Z