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Applied Optics

Applied Optics


  • Vol. 37, Iss. 1 — Jan. 1, 1998
  • pp: 44–47

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

J. M. Gordon and Ari Rabl  »View Author Affiliations

Applied Optics, Vol. 37, Issue 1, pp. 44-47 (1998)

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We establish a fundamental bound on the field of view over which strictly uniform far-field irradiance can be achieved in symmetric two-dimensional (2D, troughlike) and three-dimensional (3D, conelike) 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 disk light source and a prescribed uniform core region half-angle θ c , no more than tan2 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. 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.

© 1998 Optical Society of America

OCIS Codes
(150.0150) Machine vision : Machine vision
(150.2950) Machine vision : Illumination

Original Manuscript: May 28, 1997
Revised Manuscript: July 14, 1997
Published: January 1, 1998

J. M. Gordon and Ari Rabl, "Reflectors for uniform far-field irradiance: fundamental limits and example of an axisymmetric solution," Appl. Opt. 37, 44-47 (1998)

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