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Proceedings Paper

Quasi-lambertian radiative transfer: exact analytic solutions
Author(s): Avi Braun; Jeffrey M. Gordon
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Paper Abstract

The evaluation of radiative exchange among quasi-lambertian surfaces has been deemed the domain of raytrace simulations (quasi-lambertian referring to flux distributions that are uniform spatially but within a numerical aperture NA less than unity). The familiar view factors for fully-lambertian surfaces are not valid in this domain. Analytic, physically-transparent solutions are derived for radiation transfer between quasi-lambertian surfaces - solutions that also obviate the need for case-specific time-intensive simulation methods. A generalized reciprocity relation is shown to follow in analogy to the reciprocity theorem for fully-lambertian flux exchange. Representative results of flux maps and flux transfer efficiency for several geometries of practical interest are presented to illustrate the principal features.

Paper Details

Date Published: 18 August 2010
PDF: 10 pages
Proc. SPIE 7785, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration VII, 778503 (18 August 2010); doi: 10.1117/12.858818
Show Author Affiliations
Avi Braun, Ben-Gurion Univ. of the Negev (Israel)
Jeffrey M. Gordon, Ben-Gurion Univ. of the Negev (Israel)

Published in SPIE Proceedings Vol. 7785:
Nonimaging Optics: Efficient Design for Illumination and Solar Concentration VII
Roland Winston; Jeffrey M. Gordon, Editor(s)

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