Initial design with L^2 Monge-Kantorovich theory for the Monge–Ampère equation method in freeform surface illumination design

Wu, Rengmao; Zhang, Yaqin; Sulman, Mohamed; Zheng, Zhou; Benı́tez, Pablo; Miñano, Juan C.

doi:10.1364/oe.22.016161

Cited by 41 publications

(28 citation statements)

References 20 publications

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“…Previous studies on the MA method mainly focused on AI designs, 17,21 Whether the MA method can be used to solve specific OI designs still needs to be proven. 2.1, there are two different layouts of the proposed OI system for different applications, and the key to achieving the OI system is to design the freeform reflector unit.…”

Section: Design Models Of the Freeform Reflector Unitmentioning

confidence: 99%

“…Although some techniques have been proposed to deal with off-axis illumination problems, such as the partial differential equation (PDE) method, 16 the Monge-Ampère (MA) equation method, 17 equi-flux grids mapping method, 18 and triangular-mesh optimization, 19 a more universal and effective method is still urgently needed. In this paper, a kind of dedicated OI system is presented in order to introduce an effective technique into OI design.…”

Section: Introductionmentioning

confidence: 99%

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Design of freeform reflector array for oblique illumination in general lighting

Chen

2015

Opt. Eng

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Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 08/15/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspxAbstract. With increasing concerns about light pollution and energy waste in general lighting, efficient and effective lighting techniques have become imperative. We present the design of a kind of dedicated oblique illumination (OI) system to solve the problems of light pollution and the waste of energy in general lighting. The OI system consists of an extended (actual) light source, a collimator, and a freeform reflector array. Two different layouts of the OI system are proposed for different lighting situations, and design models of the two layouts are also given by use of the Monge-Ampère equation method. Two typical lighting situations, street lighting and advertising board lighting, are given here to illustrate the proposed OI system, and characteristics of the OI system are explored. The results show the light distribution is well controlled with a pretty good optical performance and the OI system has a large tolerance to the change of intensity distribution of the light source and to the size of the light source. Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 08/15/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx Optical Engineering 065103-2 June 2015 • Vol. 54(6) Chen and Wu: Design of freeform reflector array for oblique illumination in general lighting Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 08/15/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx Optical Engineering 065103-7 June 2015 • Vol. 54(6) Chen and Wu: Design of freeform reflector array for oblique illumination in general lighting Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 08/15/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx Optical Engineering 065103-8 June 2015 • Vol. 54(6) Chen and Wu: Design of freeform reflector array for oblique illumination in general lighting Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 08/15/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx Optical Engineering 065103-10 June 2015 • Vol. 54(6) Chen and Wu: Design of freeform reflector array for oblique illumination in general lighting Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 08/15/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx

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Section: Design Models Of the Freeform Reflector Unitmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design of freeform reflector array for oblique illumination in general lighting

Chen

2015

Opt. Eng

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“…This is an inverse problem, the number of freeform surfaces which should be used depends on the design requirements. The design methods of freeform illumination optics can be broken into two groups according to the influence of the spatial or angular extent of an actual light source on the design: zero‐étendue algorithms based on ideal source assumption (point light sources or parallel light beams) and algorithms for extended light sources . When the influence of the spatial or angular extent of a light source can be ignored, the light source can be considered as an ideal source (a point source or a parallel beam) and the inverse problem can be converted into a well‐defined mathematical problem.…”

Section: Introductionmentioning

confidence: 99%

Design of Freeform Illumination Optics

Feng

Zheng

et al. 2018

Laser & Photonics Reviews

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121

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Freeform optics constitutes a new technology that is currently driving substantial changes in illumination design. It liberates designers and engineers from restrictions of optical surface geometry, enabling them to achieve compact, lightweight, and efficient illumination systems with excellent optical performance. Freeform optics is currently used widely for both fundamental research and practical applications. This Review focuses on the design of freeform illumination optics, which is a key factor in advancing the development of illumination engineering. The design methods of freeform illumination optics can be divided into two groups: zero‐étendue algorithms based on ideal source assumption and design algorithms for extended light sources. The zero‐étendue algorithms include ray mapping method, Monge–Ampère equation method, and supporting quadric method. The algorithms for extended sources include illumination optimization, feedback design, and simultaneous multiple surfaces method. The characteristics and limitations of these design methods are illustrated and a summary of these methods with future outlooks is also given.

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“…However, most methods involve iterative calculation or complex Monge-Ampère equations, and this results in complicated LED lens designs. To solve this problem, an initial design with L 2 Monge-Kantorovich theory was given by Wu et al [8]. With this initial design, the Monge-Ampère approach can converge more stably and faster.…”

Section: Introductionmentioning

confidence: 99%

Freeform lens design for light-emitting diode uniform illumination by using a method of source–target luminous intensity mapping

et al. 2015

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We present a freeform lens for application to LED uniform illumination. This lens, which is designed with a method of simple source-target luminous intensity mapping, can produce irradiance uniformity of greater than 0.8 and optical efficiency above 90% with an arbitrary half-beam angle greater than 45 deg. Typically, as compared with a conventional source-target energy mapping method, this design method can achieve better optical performance of lenses for general LED lighting. When a non-Lambertian-type light source is employed, for example, the chip on board LED, the use of the method can result in a compact LED lens without losing the optical performances of high irradiance uniformity and high optical efficiency as yielded by lenses for Lambertian-type LED light sources.

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Initial design with L^2 Monge-Kantorovich theory for the Monge–Ampère equation method in freeform surface illumination design

Cited by 41 publications

References 20 publications

Design of freeform reflector array for oblique illumination in general lighting

Design of freeform reflector array for oblique illumination in general lighting

Design of Freeform Illumination Optics

Freeform lens design for light-emitting diode uniform illumination by using a method of source–target luminous intensity mapping

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