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Applied Optics

Applied Optics


  • Vol. 37, Iss. 10 — Apr. 1, 1998
  • pp: 1905–1912

Optical performance of axisymmetric edge-ray concentrators and illuminators

Daniel Feuermann and Jeffrey M. Gordon  »View Author Affiliations

Applied Optics, Vol. 37, Issue 10, pp. 1905-1912 (1998)

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The optical performance of axisymmetric radiation concentrators and illuminators that are derived when two-dimensional edge-ray designs are rotated about their optic axis is investigated. Of particular interest are devices with spherical and cylindrical absorbers or light sources, for which the inherent ray rejection can be substantial. From the principle of etendue (phase-space) conservation, a lower bound for ray rejection can be established. With computer ray tracing, we demonstrate that this bound underestimates the actual ray rejection by only a few percent at most. Hence, to a good approximation, it can be used as an equality in analytic predictions of characteristic efficiency-concentration curves. By designing for absorbers or sources with a bald spot, the full range of efficiency and flux concentration values can be realized and the trade-off between them can be quantified. The optical performance of these edge-ray designs is also compared against fundamental upper bounds on the flux concentration and efficiency of axisymmetric devices.

© 1998 Optical Society of America

OCIS Codes
(150.2950) Machine vision : Illumination
(350.5610) Other areas of optics : Radiation

Original Manuscript: June 24, 1997
Revised Manuscript: November 18, 1997
Published: April 1, 1998

Daniel Feuermann and Jeffrey M. Gordon, "Optical performance of axisymmetric edge-ray concentrators and illuminators," Appl. Opt. 37, 1905-1912 (1998)

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  1. W. T. Welford, R. Winston, High Collection Nonimaging Optics (Academic, San Diego, Calif., 1989).
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