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Proceedings Paper

Calculation of flux density produced by CPC reflectors on distant targets
Author(s): Jeffrey M. Gordon; Ari Rabl
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Paper Abstract

Many optical characteristics of the CPC (compound parabolic concentrator) can be analyzed with remarkable simplicity and elegance if one employs the reciprocity relations of radiative heat transfer. While the characteristics that are of interest for solar energy have been studied extensively, those for lighting and infrared heaters have remained unexplored. The design considerations are quite different from solar applications because the reflector is placed close to the source rather than close to the target. In this note we show that the flux density produced by an untruncated CPC at a point P of a distant target plane is essentially the radiation shape factor from P to the aperture of the CPC--a simple trigonometric expression obtained without detailed ray tracing. Absorption losses can be analyzed with equal simplicity in terms of the average number of reflections. In additions to their usefulness for the reflector configurations in question, the resulting closed form solutions, being exact, can serve as test of the accuracy of ray trace programs.

Paper Details

Date Published: 24 October 1991
PDF: 11 pages
Proc. SPIE 1528, Nonimaging Optics: Maximum Efficiency Light Transfer, (24 October 1991); doi: 10.1117/12.49139
Show Author Affiliations
Jeffrey M. Gordon, Ben Gurion Univ. of the Negev (Israel)
Ari Rabl, Ecole des Mines de Paris (France)


Published in SPIE Proceedings Vol. 1528:
Nonimaging Optics: Maximum Efficiency Light Transfer
Roland Winston; Robert L. Holman, Editor(s)

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