Two-dimensional freeform reflector design with a scattering surface

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

doi:10.1364/josaa.479001

Cited by 6 publications

(7 citation statements)

References 21 publications

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“…Figure 15 shows the effect that scattering has on the reflector, where the base reflector was taken as the specular reflector achieving h given f , i.e., with σ = 0 so that p is a delta function and g ≡ h. Successive reflectors have increasing values of σ , associated with more and more scattering up to σ = 0.1. As expected, more scattering requires more modification of the reflector versus the base one, and we see variations in height up to a few percent of the size of the reflectors, which is consistent with previous observations we made in the two-dimensional case [11]. As noted there, variations of this order of magnitude are typically considered manufacturable.…”

Section: B Example #2: Varying Amounts Of Scatteringsupporting

confidence: 92%

“…Our future goal is to expand on the approach we introduced in [11] by applying it to three dimensions. In that work, we utilized microfacets to model the rough surface that causes light scattering.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…Then, we used the fact that, by construction, tan(β) = c 2 /c 1 , and the scattering map in Eq. (11) to conclude that…”

Section: Mappingsmentioning

confidence: 99%

“…As we showed in [10,11], the problem of computing twodimensional, i.e., rotationally or cylindrically symmetric, reflectors with a scattering surface reduces to computing a deconvolution, followed by solving a specular reflector design problem. This paper will extend these results to compute threedimensional freeform reflectors with scattering surfaces.…”

Section: Introductionmentioning

confidence: 99%

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Three-dimensional freeform reflector design with a scattering surface

Vì¹,

Anthonissen²,

Boonkkamp³

et al. 2023

J. Opt. Soc. Am. A

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We introduce an 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 analogous to deconvolution, 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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Section: B Example #2: Varying Amounts Of Scatteringsupporting

confidence: 92%

Section: Conclusion and Discussionmentioning

confidence: 99%

“…Then, we used the fact that, by construction, tan(β) = c 2 /c 1 , and the scattering map in Eq. (11) to conclude that…”

Section: Mappingsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Three-dimensional freeform reflector design with a scattering surface

Vì¹,

Anthonissen²,

Boonkkamp³

et al. 2023

J. Opt. Soc. Am. A

Self Cite

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show abstract

“…It is currently solved by numerically solving system-specific differential equations or through optimization, with every step validated using a (non-differentiable) non-sequential ray tracer (Wu et al, 2018). Great effort is involved in generalizing these methods to account for varying amounts of optical surfaces (Anthonissen et al, 2021), their optical surface and volume properties (Kronberg et al, 2022;Lippman and Schmidt, 2020), or the source model (Muschaweck, 2022;Tukker, 2007;Sorgato et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Gradient descent-based freeform optics design using algorithmic differentiable non-sequential ray tracing

Koning¹,

Heemels²,

Adam³

et al. 2023

Preprint

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Algorithmic differentiable ray tracing is a new paradigm that allows one to solve the forward problem of how light propagates through an optical system while obtaining gradients of the simulation results with respect to parameters specifying the optical system. Specifically, the use of algorithmically differentiable non-sequential ray tracing provides an opportunity in the field of illumination design. We demonstrate its potential by designing freeform lenses that project a prescribed irradiance distribution onto a plane. The challenge consists in finding a suitable surface geometry of the lens so that the light emitted by a light source is redistributed into a desired irradiance distribution. We discuss the crucial steps allowing the non-sequential ray tracer to be differentiable. The obtained gradients are used to optimize the geometry of the freeform, and we investigate the effectiveness of adding a multi-layer perceptron neural network to the optimization that outputs parameters defining the freeform lens. Lenses are designed for various sources such as collimated ray bundles or point sources, and finally, a grid of point sources approximating an extended source. The obtained lens designs are finally validated using the commercial non-sequential ray tracer LightTools.

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Gradient descent-based freeform optics design for illumination using algorithmic differentiable non-sequential ray tracing

Koning,

Heemels,

Adam

et al. 2023

Optim Eng

View full text Add to dashboard Cite

Algorithmic differentiable ray tracing is a new paradigm that allows one to solve the forward problem of how light propagates through an optical system while obtaining gradients of the simulation results with respect to parameters specifying the optical system. Specifically, the use of algorithmically differentiable non-sequential ray tracing provides an opportunity in the field of illumination engineering to design complex optical system. We demonstrate its potential by designing freeform lenses that project a prescribed irradiance distribution onto a plane. The challenge consists in finding a suitable surface geometry of the lens so that the light emitted by a light source is redistributed into a desired irradiance distribution. We discuss the crucial steps allowing the non-sequential ray tracer to be differentiable. The obtained gradients are used to optimize the geometry of the freeform, and we investigate the effectiveness of adding a multi-layer perceptron neural network to the optimization that outputs parameters defining the freeform lens. Lenses are designed for various sources such as collimated beams or point sources, and finally, a grid of point sources approximating an extended source. The obtained lens designs are finally validated using the commercial non-sequential ray tracer LightTools.

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Two-dimensional freeform reflector design with a scattering surface

Cited by 6 publications

References 21 publications

Three-dimensional freeform reflector design with a scattering surface

Three-dimensional freeform reflector design with a scattering surface

Gradient descent-based freeform optics design using algorithmic differentiable non-sequential ray tracing

Gradient descent-based freeform optics design for illumination using algorithmic differentiable non-sequential ray tracing

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