| Issue |
J. Eur. Opt. Society-Rapid Publ.
Volume 19, Number 1, 2023
EOSAM 2021
|
|
|---|---|---|
| Article Number | 18 | |
| Number of page(s) | 22 | |
| DOI | https://doi.org/10.1051/jeos/2023014 | |
| Published online | 28 April 2023 | |
Research Article
Modelling surface light scattering for inverse two-dimensional reflector design
1
Department of Mathematics and Computer Science, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands
2
Signify Research, High Tech Campus 7, 5656 AE Eindhoven, The Netherlands
* Corresponding author: v.c.e.kronberg@tue.nl
Received:
27
January
2022
Accepted:
15
March
2023
We present a novel approach of modelling surface light scattering in the context of two-dimensional reflector design, relying on energy conservation and optimal transport theory. For isotropic scattering in cylindrically or rotationally symmetric systems with in-plane scattering, the scattered light distribution can be expressed as a convolution between a scattering function, which characterises the optical properties of the surface, and a specular light distribution. Deconvolving this expression allows for traditional specular reflector design procedures to be used, whilst accounting for scattering. This approach thus constitutes solving the inverse problem of light scattering, allowing for direct computation of the reflector surface, without the need for design iterations.
Key words: Surface scattering / Reflector design / Illumination optics / Inverse methods
© The Author(s), published by EDP Sciences, 2023
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