Segmented illumination lenses for step lighting and wall washing

Parkyn, William A.

doi:10.1117/12.368228

Cited by 22 publications

(14 citation statements)

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“…The topological mapping applied is showed in Fig. 3, which means lights of equal φ would be refracted to the same edge of the rectangle [14]. After substituting Eq.…”

Section: Freeform Lens Designmentioning

confidence: 99%

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Freeform LED lens for uniform illumination

Ding¹,

Liu²,

Zheng³

et al. 2008

Opt. Express

357

192

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Light flux from LED must be redistributed to meet the needs of lighting in most cases, a new method is proposed for its secondary optic design. Based on refractive equation and energy conservation, a set of first-order partial differential equations which represent the characters of LED source and desired illumination were presented. The freeform lens was constructed by solving these equations numerically. The numerical results showed that we can get a freeform lens for the illumination of uniformity near to 90%, with considerable high computation speed. This method can shorten the designing time of the freeform lens with high accepted tolerance.

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“…The topological mapping applied is showed in Fig. 3, which means lights of equal φ would be refracted to the same edge of the rectangle [14]. After substituting Eq.…”

Section: Freeform Lens Designmentioning

confidence: 99%

“…(9), I became function of ρ (θ, φ ), so that the incident position on the target plane can be calculated through Eqs. (12), (13) and (14). Thereby the unknowns of Eqs.…”

Section: Freeform Lens Designmentioning

confidence: 99%

Freeform LED lens for uniform illumination

Ding¹,

Liu²,

Zheng³

et al. 2008

Opt. Express

357

192

View full text Add to dashboard Cite

show abstract

“…Ries and Muschaweck propose a new formulation of the problem but do not detail the actual numerical solution [5]. Finally, Parkyn, Ding and Wang use equi-flux grids that produce reflector surfaces with step discontinuities [6][7][8]. This latter approach breaks up the problem into two independent steps.…”

Section: Introductionmentioning

confidence: 99%

“…In this case the reflector collects light over a hemisphere. The target map on the right was derived analytically using symmetry considerations, following the methodology presented in [6][7][8]. On the other hand, the target map on the left was derived using the method presented in this paper, which will be detailed in section 2.…”

Section: Introductionmentioning

confidence: 99%

Fast freeform reflector generation using source-target maps

Fournier¹,

Cassarly²,

Rolland³

2010

Opt. Express

249

121

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We propose a freeform reflector design method based on the mapping of equi-flux grids between a point source and a target. This method imposes no restriction on the target distribution, the reflector collection angle or the source intensity pattern. Source-target maps are generated from a small number of target points using the Oliker algorithm. Such maps satisfy the surface integrability condition and can thus be used to quickly generate reflectors that produce continuous illuminance distributions.

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“…The basic concept is to convert the radiant flux emitted from a point source onto a prescribed illumination, usually in Cartesian coordinate. Parkyn 1 firstly pioneered a tessellation method to map the cell area between a point source in polar grid with a particular rectangular illumination in Cartesian grid. The cells of both grid topologies were sized so that they share common energy.…”

Section: Introductionmentioning

confidence: 99%

New approach to construct freeform surface by numerically differential formulation

et al. 2013

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Abstract. We proposed a new design method for single freeform reflective (or refractive) surface tailored to redistribute the radiant flux onto a prescribed illumination pattern. Unlike the conventional optimization approaches based on the grid mapping, in this study we estimated each segmental freeform surface by locally solving a second-order differential equation, which formulates the energy transportation between each domain cell. With finite element method via Hermite element, we validated a series of smooth reflective/refractive surfaces to reallocate the radiant flux from a point source toward a target plane with specific patterns. The proposed technique offers a large flexibility by varying the vectors of each ray with multiple refraction (or reflection), which imposes no restriction on the target distribution, collective solid angle, or even target topography.

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Segmented illumination lenses for step lighting and wall washing

Cited by 22 publications

References 0 publications

Freeform LED lens for uniform illumination

Freeform LED lens for uniform illumination

Fast freeform reflector generation using source-target maps

New approach to construct freeform surface by numerically differential formulation

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Segmented illumination lenses for step lighting and wall washing

Cited by 22 publications

References 0 publications

Freeform LED lens for uniform illumination

Freeform LED lens for uniform illumination

Fast freeform reflector generation using source-target maps

New approach to construct freeform surface by numerically differential formulation

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Product

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Fast freeform reflector generation using source-target maps