2019
DOI: 10.1080/09500340.2019.1687773
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Design of a freeform lens array based on an adjustable Cartesian candela distribution

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Cited by 7 publications
(5 citation statements)
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“…The MLA's free‐form surface‐shaped curve is constructed based on the energy mapping relationship between the luminous surface and the emission surface. The light source and the emission surface are divided into a three‐dimensional angle with the same luminous flux and the same area, 17 then controlling the luminous flux within each stereo angle incident to the corresponding area to form a cross‐sectional curve in the space, respectively 18 . The vectorial relationship between two adjacent points on the surface‐shaped curve is shown in Figure 3A, and their vectorial relationship expressions can be obtained by the law of refraction as follows 19 : {trueTigoodbreak=lefttruenXi+1XiXi+1Xi2+Zi+1Zi2Xjgoodbreak−XiXjXi2+ZjZi2,trueNigoodbreak=lefttruenZi+1ZiXi+1Xi2+Zi+1Zi2Zjgoodbreak−ZiXjXi2+ZjZi2,trueTigoodbreak×trueNigoodbreak=0. …”
Section: System Designmentioning
confidence: 99%
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“…The MLA's free‐form surface‐shaped curve is constructed based on the energy mapping relationship between the luminous surface and the emission surface. The light source and the emission surface are divided into a three‐dimensional angle with the same luminous flux and the same area, 17 then controlling the luminous flux within each stereo angle incident to the corresponding area to form a cross‐sectional curve in the space, respectively 18 . The vectorial relationship between two adjacent points on the surface‐shaped curve is shown in Figure 3A, and their vectorial relationship expressions can be obtained by the law of refraction as follows 19 : {trueTigoodbreak=lefttruenXi+1XiXi+1Xi2+Zi+1Zi2Xjgoodbreak−XiXjXi2+ZjZi2,trueNigoodbreak=lefttruenZi+1ZiXi+1Xi2+Zi+1Zi2Zjgoodbreak−ZiXjXi2+ZjZi2,trueTigoodbreak×trueNigoodbreak=0. …”
Section: System Designmentioning
confidence: 99%
“…The light source and the emission surface are divided into a three-dimensional angle with the same luminous flux and the same area, 17 then controlling the luminous flux within each stereo angle incident to the corresponding area to form a cross-sectional curve in the space, respectively. 18 The vectorial relationship between two adjacent points on the surface-shaped curve is shown in Figure 3A, and their vectorial relationship expressions can be obtained by the law of refraction as follows 19 :…”
Section: Mla Designmentioning
confidence: 99%
“…Research related to modulating the light distributions using secondary optical elements have also been reported. Run et al designed a new free-form surface lens whose inner surface is a cylinder and outer surface is a free-form surface to optimize the light-emitting angles; Lin et al proposed a Cartesian candela-distributed freeform lens array to optimize the LED lens array layout to achieve wide angles [35,36]. In addition, research on modulation of the light shape for Chip Scale Package-Light-emitting diode (CSP LEDs) include changing the traditional packaging structures and light distribution optimization for flat light sources [37,38].…”
Section: Introductionmentioning
confidence: 99%
“…Zhu et al proposed a free-form surface design method for LEDs to achieve diffusion and transmission. This lighting system affords advantages such as high efficiency and high uniformity [ 37 , 38 , 39 ].…”
Section: Introductionmentioning
confidence: 99%