2007
DOI: 10.1143/jjap.46.7771
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The Freeform Reflector for Uniform Rectangular Illumination

Abstract: Energy from the source was rearranged through reflection by a freeform reflector, in order to get uniform rectangular illumination. The numerical results of partial differential equation sets were investigated to obtain the freeform reflector and these equations were obtained upon the determination of the characters of source and the desired illumination. As an example, a light emitting diode (LED) with a Lambertian light-emitting surface of 1 Â 1 mm 2 and a viewing angle of 120 was applied as the source, and … Show more

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Cited by 15 publications
(14 citation statements)
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“…According to light transmission energy conservation condition, the output of source is equal to the flux incident in the target plane. Assuming the half viewing angle of the source is (8) where E(t) is the luminance at point t, A is the area illuminated. I(I(φ)) is LED emitting intensity in the direction of I(φ).…”
Section: Energy Conservationmentioning
confidence: 99%
See 2 more Smart Citations
“…According to light transmission energy conservation condition, the output of source is equal to the flux incident in the target plane. Assuming the half viewing angle of the source is (8) where E(t) is the luminance at point t, A is the area illuminated. I(I(φ)) is LED emitting intensity in the direction of I(φ).…”
Section: Energy Conservationmentioning
confidence: 99%
“…When target plane T is fixed, θ and φ can be gotten though Eq. (8). After replacing the corresponding items in Eqs.…”
Section: Energy Conservationmentioning
confidence: 99%
See 1 more Smart Citation
“…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%
“…In the first place, uniformity is one of the most important factors for illumination quality as it is essential to achieve a good image signal. A lot of effort has been made to achieve illumination uniformity, mostly by employing sophisticated optical components, such as lens arrays [1], freeform lenses [2], and freeform reflectors [3]. These components can help achieve uniform illumination in particular situations, but not necessarily in a practical optical imaging system where undesired features cannot be neglected, that is, ambient light, uneven target surfaces, inhomogeneous reflection-absorption properties of the target, and so on.…”
Section: Introductionmentioning
confidence: 99%