Solving the Monge-Ampère equation on triangle-meshes for use in optical freeform design

Wester, Rolf; Völl, Annika; Berens, Michael; Stollenwerk, Jochen; Loosen, Peter

doi:10.1117/12.2313454

Cited by 1 publication

(2 citation statements)

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“…The traditional ray mapping methods are only accurate for paraxial or small angle approximations. Larger surface errors could occur for off-axis and non-paraxial cases because the surface integration from the approximate ray maps are no longer integrable 21,22 . Fournier et al pioneered the work on computing an integrable ray map in freeform reflector design with the help of the method of supporting ellipsoids 10 .…”

Section: Introductionmentioning

confidence: 99%

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Iterative freeform lens design for prescribed irradiance on curved target

Feng¹,

Cheng²,

Wang³

2020

Opto-Electronic Advances

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Current freeform illumination optical designs are mostly focused on producing prescribed irradiance distributions on planar targets. Here, we aim to design freeform optics that could generate a desired illumination on a curved target from a point source, which is still a challenge. We reduce the difficulties that arise from the curved target by involving its varying z-coordinates in the iterative wavefront tailoring (IWT) procedure. The new IWT-based method is developed under the stereographic coordinate system with a special mesh transformation of the source domain, which is suitable for light sources with light emissions in semi space such as LED sources. The first example demonstrates that a rectangular flat-top illumination can be generated on an undulating surface by a spherical-freeform lens for a Lambertian source. The second example shows that our method is also applicable for producing a non-uniform irradiance distribution in a circular region of the undulating surface.

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Section: Introductionmentioning

confidence: 99%

“…Sun et al employed a ray mapping method for producing a uniform irradiance distribution on a non-planar surface 34 . As mentioned before, such a ray mapping method may suffer from large surface errors when the design geometry deviated much from small angle approximations 22 .…”

Section: Introductionmentioning

confidence: 99%