Calculation of flux density produced by CPC reflectors on distant targets

Jeff M. Gordon, Ari Rabl

    Research output: Contribution to journalConference articlepeer-review

    1 Scopus citations


    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 addition 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.

    Original languageEnglish
    Pages (from-to)152-162
    Number of pages11
    JournalProceedings of SPIE - The International Society for Optical Engineering
    StatePublished - 24 Oct 1991
    EventNonimaging Optics: Maximum Efficiency Light Transfer 1991 - San Diego, United States
    Duration: 21 Jul 1991 → …

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Condensed Matter Physics
    • Computer Science Applications
    • Applied Mathematics
    • Electrical and Electronic Engineering


    Dive into the research topics of 'Calculation of flux density produced by CPC reflectors on distant targets'. Together they form a unique fingerprint.

    Cite this