J. Eur. Opt. Society-Rapid Publ.
Volume 19, Number 1, 2023
|Number of page(s)||22|
|Published online||28 April 2023|
Modelling surface light scattering for inverse two-dimensional reflector design
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: email@example.com
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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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