Three-Dimensional Freeform Reflector Design with a Scattering Surface
Optics
2023-08-09 v1
Abstract
We introduce a novel approach to calculating three-dimensional freeform reflectors with a scattering surface. Our method is based on optimal transport and utilizes a Fredholm integral equation to express scattering. By solving this integral equation through a process similar to deconvolution, which we call `unfolding,' we can recover a typical specular design problem. Consequently, we consider freeform reflector design with a scattering surface as a two-step process wherein the target distribution is first altered to account for scattering, and then the resulting specular problem is solved. We verify our approach using a custom raytracer that implements the surface scattering model we used to derive the Fredholm integral.
Cite
@article{arxiv.2305.03484,
title = {Three-Dimensional Freeform Reflector Design with a Scattering Surface},
author = {Vì Kronberg and Martijn Anthonissen and Jan ten Thije Boonkkamp and Wilbert IJzerman},
journal= {arXiv preprint arXiv:2305.03484},
year = {2023}
}