An Upper Bound on the Efficiency of a Collector of Diffuse Radiation onto a Grey Absorber

An absorbing body is assumed to absorb the fraction α of any radiation falling on it, independent of the angle of incidence, and to reflect the remaining fraction, 1 − α, diffusely. The body is partly surrounded by a perfectly (but not necessarily specularly) reflecting cavity. An aperture admits un...

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Bibliographic Details
Published inOptica acta Vol. 27; no. 9; pp. 1361 - 1366
Main Authors Bassett, I.M., Derrick, G.H.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.09.1980
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Summary:An absorbing body is assumed to absorb the fraction α of any radiation falling on it, independent of the angle of incidence, and to reflect the remaining fraction, 1 − α, diffusely. The body is partly surrounded by a perfectly (but not necessarily specularly) reflecting cavity. An aperture admits uniform fully diffuse radiation to the cavity. The whole system is assumed to be cylindrical, i.e. to be invariant under translation in the direction of a cylinder axis. An upper bound on the efficiency of absorption, previously obtained by O'Gallagher and others, is confirmed by another argument. The upper bound is α/(α+ (1 − α)C) where C is the ratio of aperture to absorber area.
ISSN:0030-3909
DOI:10.1080/713820401