Journal of the European Optical Society-Rapid Publications, Volume. 19, Issue 1, 2023014(2023)

Modelling surface light scattering for inverse two-dimensional reflector design

Vì Cecilia Erik Kronberg1,*... Martijn J.H. Anthonissen1, Jan H.M. ten Thije Boonkkamp1, and Wilbert L. IJzerman12 |Show fewer author(s)
Author Affiliations
  • 1Department of Mathematics and Computer Science, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands
  • 2Signify Research, High Tech Campus 7, 5656 AE Eindhoven, The Netherlands
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    Figures & Tables(20)
    The inverse problem of reflector design with a scattering surface; the first step (deconvolution) yields the specular target distribution, which in turn can be used to compute the reflector by solving the inverse specular problem. The data is taken from Example #1 in Section 4.
    Reflectors exhibiting specular reflection (a), and light scattering (b); line-source along suppressed z-axis passing through O.
    Relations between unit vectors and angles; all symbols are defined in the text.
    Schematic maps for specular reflectors (a), and diffuse reflectors (b).
    Diffuse map ψ→γ (isotropic scattering; example #2 in Sect. 4).
    Rotationally symmetric reflectors exhibiting arbitrary (a), and in-plane (b) scattering; point source at O.
    Distributions in Example #1; 128 sample points.
    The κ(ψ)-boundaries used as the support of gdc in Example #1.
    Example #1; reflectors designed using gdc in Figure 7; 1024 sample points.
    Example #1; raytraced distributions of mconv reflector with gdc; 106 rays.
    Initial distributions in Example #2; 128 sample points.
    Example #2; deconvlucy deconvolution with 102 iterations (a), and 104 iterations (b).
    Example #2; reflectors designed using g in Figure 11 (a), and gdc after 10 deconvolution iterations in Figure 11 (b); 1024 sample points.
    Difference in reflector radii of the mconv reflectors in Figures 13a and 13b; slope of the subtracted linear correction term in the right panel was 4.31 × 10−6.
    Example #2; raytraced distributions of mconv reflectors with g from Figure 11 (a), gdc from Figure 17 (b), and gdc from Figure 12b (c); 106 rays.
    Initial distributions in Example #3; 128 sample points.
    The prescribed and predicted diffuse targets in Example #3.
    The κ(ψ)-boundaries used as the support of gdc in Example #3.
    Example #3; reflectors designed using gdc in Figure 16 (a), and a three-dimensional version of the mconv reflector (b).
    Example #3; raytraced distributions of mconv reflector with gdc (a), and mdiv reflector with gdc (b); 106 rays.
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    Vì Cecilia Erik Kronberg, Martijn J.H. Anthonissen, Jan H.M. ten Thije Boonkkamp, Wilbert L. IJzerman. Modelling surface light scattering for inverse two-dimensional reflector design[J]. Journal of the European Optical Society-Rapid Publications, 2023, 19(1): 2023014

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    Paper Information

    Category: Research Articles

    Received: Jan. 27, 2022

    Accepted: Mar. 15, 2023

    Published Online: Aug. 31, 2023

    The Author Email: Kronberg Vì Cecilia Erik (v.c.e.kronberg@tue.nl)

    DOI:10.1051/jeos/2023014

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