&lt;title&gt;Tailoring freeform lenses for illumination&lt;/title&gt;

Ries, Harald; Muschaweck, Julius

doi:10.1117/12.449957

Cited by 34 publications

(16 citation statements)

References 4 publications

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“…In several publications for the inverse refractor problem a PDE is derived, whose solution models the desired optical free-form surfaces, see e.g. [36,15,16,27,41,32,33,11]. In these approaches usually the low wavelength limit is assumed to hold, i.e.…”

Section: Solution Techniques Via Pde Approachesmentioning

confidence: 99%

Designing illumination lenses and mirrors by the numerical solution of Monge–Ampère equations

2015

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We consider the inverse refractor and the inverse reflector problem. The task is to design a free-form lens or a free-form mirror that, when illuminated by a point light source, produces a given illumination pattern on a target. Both problems can be modeled by strongly nonlinear second-order partial differential equations of Monge-Ampère type. In [Math. Models Methods Appl. Sci.25, 803 (2015)MMMSEU0218-202510.1142/S0218202515500190], the authors have proposed a B-spline collocation method, which has been applied to the inverse reflector problem. Now this approach is extended to the inverse refractor problem. We explain in depth the collocation method and how to handle boundary conditions and constraints. The paper concludes with numerical results of refracting and reflecting optical surfaces and their verification via ray tracing.

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Section: Solution Techniques Via Pde Approachesmentioning

confidence: 99%

Designing illumination lenses and mirrors by the numerical solution of Monge–Ampère equations

2015

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“…The second point A 1 on the inner surface could be calculated by the intersection of the incident ray 1 OA and the tangent plane of the point A 0 . With the deviation angle d 11 and d 21 obtained above, we could obtain the ray 1 1 A B and ray 1 1 B R . The second point B 1 on the outer surface could be calculated by the intersection of the ray 1 1 A B and the tangent plane of the point B 0 .…”

Section: Design Methodology As Illustrated Inmentioning

confidence: 98%

“…There have existed some methods on freeform lens design, eg. simultaneous multiple surface (SMS) method [10], tailored freeform surface method [11], partial differential equations [12], discontinuous/continuous freeform lens method [13][14][15][16][17]. The SMS method gives accesses to designing the lens by controlling the incoming and outgoing wave-fronts and both the inner and outer surfaces can be designed simultaneously.…”

Section: Introductionmentioning

confidence: 99%

Design of double freeform-surface lens by distributing the deviation angle for light-emitting diode uniform illumination

Qiu

Gan

Luo

2013

2013 14th International Conference on Electronic Packaging Technology

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In the conventional freeform lens design, people usually assume the inner surface as hemispherical and only the outer surface is designed. An important design degree of freedom on the inner surface is abandoned. In this study, by distributing the deviation angle, we proposed a method to design the inner and outer surfaces of freeform lens simultaneously. Detailed design method was presented and several examples were designed to verify the method. It was found when the distribution ratio is 0.75, the simulated illumination is the most uniform and its Fresnel light loss is the rather smaller than that conventional freeform lens. By overall consideration of the illumination uniformity and the Fresnel loss, the distribution ratio of 0.75 is the optimal extra condition and corresponds to best performance.

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“…The curvature of every mirror point determines the size and position of the image projected from a small surface element, often called a pin-hole. A design method to obtain a single free-form refractive or reflective surface to solve a prescribed-irradiance problem based on the small-source approximation can be found in [4,5,6]. While these solutions work well in the small source limit, large chip LEDs cannot be treated as quasi point sources.…”

Section: The Led Combiner Xr Architecturementioning

confidence: 99%

LED headlight architecture that creates a high quality beam pattern independent of LED shortcomings

et al. 2005

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One of the most challenging applications for high brightness LEDs is in automotive headlights. Optical designs for a low or high beam headlights are plagued by the low flux and luminance of LEDs compared to HID or incandescent sources, by mechanical chip placement tolerances and by color and flux variations between different LEDs. Furthermore the creation of a sharp cutoff is very difficult without baffles or other lossy devices. We present a novel LED headlight design that addresses all of the above problems by mixing the light of several LEDs first in a tailored light guide called LED combiner, thereby reducing color and flux variations between different LEDs and illuminance and color variations across the LED surfaces. The LED combiner forms a virtual source tailored to the application. The illuminance distribution of this virtual source facilitates the generation of the desired intensity pattern by projecting it into the far field. The projection is accomplished by one refractive and one reflective freeform surface calculated by the 3D SMS method. A high quality intensity pattern shape and a very sharp cutoff are created tolerant to LED to optics misalignment and illuminance variations across the LED surface. A low and high beam design with more than 75% total optical efficiency (without cover lens) and performance as latest HID headlights have been achieved. Furthermore it is shown that the architecture has similar tolerance requirements as conventional mass produced headlights.

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<title>Tailoring freeform lenses for illumination</title>

Cited by 34 publications

References 4 publications

Designing illumination lenses and mirrors by the numerical solution of Monge–Ampère equations

Designing illumination lenses and mirrors by the numerical solution of Monge–Ampère equations

Design of double freeform-surface lens by distributing the deviation angle for light-emitting diode uniform illumination

LED headlight architecture that creates a high quality beam pattern independent of LED shortcomings

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