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arXiv · 2305.03484

Three-Dimensional Freeform Reflector Design with a Scattering Surface

Vì Kronberg·Martijn Anthonissen·Jan ten Thije Boonkkamp·Wilbert IJzerman
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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.

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Vì Kronberg, Martijn Anthonissen, Jan ten Thije Boonkkamp, Wilbert IJzerman. 2023-05-05. Three-Dimensional Freeform Reflector Design with a Scattering Surface. https://doi.org/10.1364/josaa.494876

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