Edge-ray principle of nonimaging optics

Ries, Harald; Rabl, Ari

doi:10.1364/josaa.11.002627

Cited by 117 publications

(46 citation statements)

References 10 publications

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“…In 1994, Davies tested and verified the edge-ray principle by geometrical optics. In the same year, Ries and Rabl verified the edgy ray principle in phase space, which established a foundation for the tailoring method [15]. In 1993, Ries and Winston determined the reflector profile by numerically solving a differential equation.…”

Section: Tailoring Methodsmentioning

confidence: 99%

Design of freeform optics

Cheng

Zhang

2013

Advanced Optical Technologies

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Freeform optics has certain characteristics such as complex surfaces and more degrees to be controlled, so that it is capable of achieving optical mapping relationship, which cannot be achieved by the conventional optical surfaces. There is no applicable method for designing all freeform optics in the optical field until now. The selection of design methods should be based on specific applications. The paper introduces the main optical freeform design methods and their typical applications.

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Section: Tailoring Methodsmentioning

confidence: 99%

Design of freeform optics

Cheng

Zhang

2013

Advanced Optical Technologies

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“…The edge ray principle guarantees that M(Π) maps R 1 (Π) into R 4 (Π) preserving topological features. In particular, the boundaries ∂R 1 (Π) are mapped into the boundaries ∂R 4 (Π), see [3,11,12]. Employing the maps M(Π) for all the possible paths Π, the output photometric variables can be calculated.…”

Section: Ray Tracing On Phase Spacementioning

confidence: 99%

“…There exists a map from the source to the target PS that maps rays inside the regions with positive luminance at the source PS into rays located inside the regions with positive luminance at the target PS. The edge-ray principle [3,4] states that also the boundaries of the regions at the source PS are mapped into the boundaries at the target PS. The boundaries of these regions give the location of the discontinuities of the luminance at the target PS.…”

Section: Introductionmentioning

confidence: 99%

Phase Space Ray Tracing for a Two-dimensional Parabolic Reflector

Filosa¹,

Boonkkamp²,

IJzerman

2017

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Ray tracing is a technique used in geometric optics for calculating the light distribution at the target of an optical system. Monte Carlo (MC) ray tracing is very common in non-imaging optics. We propose a new ray tracing method that employs the phase space of the source and the target of the system. The new method gives a more accurate target distribution than classical MC ray tracing and requires less computational time. It is tested for two-dimensional optical systems. The results for the paraboloid reflector are provided.

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“…the recessed refractive part, the TIR parts of two sides, the TIR parts of two ends, and the ''W''-shaped freeform surface on the top. To create a rectangular light pattern with 1201 beam angle along the X direction (along the roadway direction) and 601 beam angle along the Y direction (perpendicular to the roadway direction), the optical design is following the ''edge-ray principle'' [1]. That is, along the X direction, the output edge-ray is 7601, all the rays are distributed within this angle; along the Y direction, the output edge-ray is 7301.…”

Section: Introductionmentioning

confidence: 99%