Three-dimensional freeform reflector design with a scattering surface

• DOI: 10.1364/josaa.494876
• Publication Date: 2023-07-11T20:00:06Z
• Authors: Vì C. E. Kronberg; Martijn J. H. Ant...; Jan H. M. ten Thi...; Wilbert L. IJzerman
• Keywords: FOS: Physical sciences; 78A05, 78A45, 78A46; Physics - Optics; Optics (physics.optics)

We introduce an 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 analogous to deconvolution, 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.