Freeform lens design for a point source and far-field target

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Uittreksel

The field of freeform illumination design has surged since the introduction of new fabrication techniques that allow for the production of non-axially symmetric surfaces. Freeform surfaces aim to efficiently control the redistribution of light from a particular source distribution to a target irradiance, but designing such surfaces is a challenging problem in the field of nonimaging optics. Optical design strategies have been developed in both academia and industry. In this paper, we consider the design of a single freeform lens that converts the light from an ideal (zero-étendue) point source into a far-field target. We present a mathematical approach and numerically solve the corresponding generalized Monge–Ampère equation of the optical system. We derive this equation using optimal transport theory and energy conservation. We use a generalized least-squares algorithm that can handle a non-quadratic cost function in the corresponding optimal transport problem. The algorithm first computes the optical map and subsequently constructs the optical surface. We demonstrate that the algorithm can generate a peanut-shaped lens for roadlighting purposes and a highly detailed lens that produces an image on a projection screen in the far field.
Originele taal-2Engels
Pagina's (van-tot)1926-1939
Aantal pagina's14
TijdschriftJournal of the Optical Society of America A, Optics, Image Science and Vision
Volume36
Nummer van het tijdschrift11
DOI's
StatusGepubliceerd - 1 nov 2019

Vingerafdruk

lens design
point sources
far fields
Lenses
lenses
Projection screens
Optical design
transport theory
energy conservation
irradiance
Optical systems
Cost functions
conservation
Optics
Energy conservation
Lighting
projection
industries
illumination
optics

Citeer dit

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title = "Freeform lens design for a point source and far-field target",
abstract = "The field of freeform illumination design has surged since the introduction of new fabrication techniques that allow for the production of non-axially symmetric surfaces. Freeform surfaces aim to efficiently control the redistribution of light from a particular source distribution to a target irradiance, but designing such surfaces is a challenging problem in the field of nonimaging optics. Optical design strategies have been developed in both academia and industry. In this paper, we consider the design of a single freeform lens that converts the light from an ideal (zero-{\'e}tendue) point source into a far-field target. We present a mathematical approach and numerically solve the corresponding generalized Monge–Amp{\`e}re equation of the optical system. We derive this equation using optimal transport theory and energy conservation. We use a generalized least-squares algorithm that can handle a non-quadratic cost function in the corresponding optimal transport problem. The algorithm first computes the optical map and subsequently constructs the optical surface. We demonstrate that the algorithm can generate a peanut-shaped lens for roadlighting purposes and a highly detailed lens that produces an image on a projection screen in the far field.",
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Freeform lens design for a point source and far-field target. / Romijn, Lotte (Corresponding author); ten Thije Boonkkamp, Jan; IJzerman, Wilbert.

In: Journal of the Optical Society of America A, Optics, Image Science and Vision, Vol. 36, Nr. 11, 01.11.2019, blz. 1926-1939.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

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