Reflectors for uniform far-field irradiance: fundamental limits and example of an axisymmetric solution

Jeffrey M. Gordon; Ari Rabl

doi:10.1117/12.279211

3 October 1997 Reflectors for uniform far-field irradiance: fundamental limits and example of an axisymmetric solution

Jeffrey M. Gordon, Ari Rabl

Proceedings Volume 3139, Nonimaging Optics: Maximum Efficiency Light Transfer IV; (1997) https://doi.org/10.1117/12.279211
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

Abstract

We establish a fundamental bound on the field of view over which strictly uniform far-field irradiance can be achieved in symmetric 2D (trough-like) and 3D (cone-like) illumination systems. Earlier results derived for particular 2D devices are shown to be special cases of the general formula. For a rotationally-symmetric 3D luminaire with a lambertian disc light source and a prescribed uniform cone region half-angle (theta) _c, no more than tan²((theta) _c) can be projected within a uniform core region. Hence the efficiency with which such illuminators can produce uniform flux is severely limited for many problems of practical interest. Being guided by the Tailored Edge-ray Device formalism for the design of 2D luminaires, we develop a 3D reflector that produces extremely uniform far-field illuminance.

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Jeffrey M. Gordon and Ari Rabl "Reflectors for uniform far-field irradiance: fundamental limits and example of an axisymmetric solution", Proc. SPIE 3139, Nonimaging Optics: Maximum Efficiency Light Transfer IV, (3 October 1997); https://doi.org/10.1117/12.279211

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KEYWORDS

Reflectors

Light sources

Reflector design

3D equipment

Fiber optic illuminators

Fiber optics

Geometrical optics

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