Quasi-lambertian radiative transfer: exact analytic solutions

Avi Braun; Jeffrey M. Gordon

doi:10.1117/12.858818

18 August 2010 Quasi-lambertian radiative transfer: exact analytic solutions

Avi Braun, Jeffrey M. Gordon

Proceedings Volume 7785, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration VII; 778503 (2010) https://doi.org/10.1117/12.858818
Event: SPIE Optical Engineering + Applications, 2010, San Diego, California, United States

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.

Citation Download Citation

Avi Braun and Jeffrey M. Gordon "Quasi-lambertian radiative transfer: exact analytic solutions", Proc. SPIE 7785, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration VII, 778503 (18 August 2010); https://doi.org/10.1117/12.858818

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