Two-Dimensional Freeform Reflector Design with a Scattering Surface

Vì Kronberg; Martijn J.H. Anthonissen; Jan H.M. ten Thije Boonkkamp; Wilbert L. IJzerman

doi:10.48550/arXiv.2211.03629

Two-Dimensional Freeform Reflector Design with a Scattering Surface

Computational Optics

Research output: Contribution to journal › Article › Academic

Abstract

We combine two-dimensional freeform reflector design with a scattering surface modelled using microfacets, i.e., small specular surfaces representing surface roughness. The model results in a convolution integral for the scattered light intensity distribution, which yields an inverse specular problem after deconvolution. Thus, the shape of a reflector with a scattering surface may be computed using deconvolution, followed by solving the typical inverse problem of specular reflector design.

Original language	English
Article number	2211.03629
Number of pages	21
Journal	arXiv
Volume	2022
DOIs	https://doi.org/10.48550/arXiv.2211.03629
Publication status	Published - 7 Nov 2022

Keywords

Surface scattering
Reflector design
Inverse problem
Microfacets
BRDF

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10.48550/arXiv.2211.03629

An Inverse Model for Two-dimensional Reflectors With Scattering
Kronberg, V. C. E., Anthonissen, M. J. H., Ten Thije Boonkkamp, J. H. M. & Ijzerman, W. L., 18 Nov 2021, In: EPJ Web of Conferences. 255, p. 02003
Research output: Contribution to journal › Article › Academic

Open Access
Modelling Surface Light Scattering in the Context of Freeform Optical Design
Kronberg, V. C. E., Anthonissen, M. J. H., Boonkkamp, J. H. M. T. T. & IJzerman, W. L., 3 Jun 2021, In: arXiv. 2021, 28 p., 2106.0169.
Research output: Contribution to journal › Article › Academic

Open Access
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title = "Two-Dimensional Freeform Reflector Design with a Scattering Surface",

abstract = "We combine two-dimensional freeform reflector design with a scattering surface modelled using microfacets, i.e., small specular surfaces representing surface roughness. The model results in a convolution integral for the scattered light intensity distribution, which yields an inverse specular problem after deconvolution. Thus, the shape of a reflector with a scattering surface may be computed using deconvolution, followed by solving the typical inverse problem of specular reflector design.",

keywords = "Surface scattering, Reflector design, Inverse problem, Microfacets, BRDF",

author = "V{\`i} Kronberg and Anthonissen, \{Martijn J.H.\} and \{ten Thije Boonkkamp\}, \{Jan H.M.\} and IJzerman, \{Wilbert L.\}",

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AU - Kronberg, Vì

AU - Anthonissen, Martijn J.H.

AU - ten Thije Boonkkamp, Jan H.M.

AU - IJzerman, Wilbert L.

PY - 2022/11/7

Y1 - 2022/11/7

N2 - We combine two-dimensional freeform reflector design with a scattering surface modelled using microfacets, i.e., small specular surfaces representing surface roughness. The model results in a convolution integral for the scattered light intensity distribution, which yields an inverse specular problem after deconvolution. Thus, the shape of a reflector with a scattering surface may be computed using deconvolution, followed by solving the typical inverse problem of specular reflector design.

AB - We combine two-dimensional freeform reflector design with a scattering surface modelled using microfacets, i.e., small specular surfaces representing surface roughness. The model results in a convolution integral for the scattered light intensity distribution, which yields an inverse specular problem after deconvolution. Thus, the shape of a reflector with a scattering surface may be computed using deconvolution, followed by solving the typical inverse problem of specular reflector design.

KW - Surface scattering

KW - Reflector design

KW - Inverse problem

KW - Microfacets

KW - BRDF

U2 - 10.48550/arXiv.2211.03629

DO - 10.48550/arXiv.2211.03629

M3 - Article

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VL - 2022

JO - arXiv

JF - arXiv

M1 - 2211.03629

ER -

Two-Dimensional Freeform Reflector Design with a Scattering Surface

Abstract

Keywords

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Research output

An Inverse Model for Two-dimensional Reflectors With Scattering

Modelling Surface Light Scattering in the Context of Freeform Optical Design

Cite this