Three-Dimensional Freeform Reflector Design with a Microfacet Surface Roughness Model

2024/03/01 by Vì C. E. Kronberg, Kronberg, Vì, Martijn Anthonissen +5
Engineering · #Adhesion, Friction, and Surface Interactions #Advanced Surface Polishing Techniques #FOS: Physical sciences #Nanofabrication and Lithography Techniques #Optics (physics.optics)

paper · pdf · doi:10.48550/arxiv.2403.00466

openalex publication_date 2024/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This manuscript will unify inverse freeform reflector design and surface light scattering to design freeform reflectors with a scattering surface. We use microfacets, which are small, tilted mirrors superimposed on a smooth surface. We form a simple model of surface roughness and light scattering based on the orientations of the microfacets. Using a least-squares solver to compute the smooth reflector as a starting point, we can subsequently alter the surface using an optimization procedure to account for the scattering. After optimization, the resulting reflector surface produces the desired scattered light distribution. We verify the resulting reflector using raytracing.

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