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Applied Optics

Applied Optics


  • Vol. 37, Iss. 13 — May. 1, 1998
  • pp: 2615–2623

Generalized Four-Flux Radiative Transfer Model

William E. Vargas  »View Author Affiliations

Applied Optics, Vol. 37, Issue 13, pp. 2615-2623 (1998)

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General solutions for a four-flux radiative transfer model, derivedfrom the radiative transfer equation and based on Lorenz–Miescattering and absorption parameters, have been obtained. Forwardand backward average path-length parameters have been considered aswell as forward-scattering ratios for diffuse anisotropic radiationgoing into the forward and the backward hemispheres. The reportedsolutions are generalizations of those obtained by Maheu <i>et al</i>. [Appl. Opt. <b>23,</b> 3353–3362(1984)]. Compared with the generalized solutions, numericalcalculations indicate that the δ-Eddington approximation and thestandard four-flux model of Maheu <i>et al</i>. overestimate thecollimated–diffuse reflectance of particulate coatings, whereas thesemodels give similar results in the case of collimated–diffusetransmittance.

© 1998 Optical Society of America

William E. Vargas, "Generalized Four-Flux Radiative Transfer Model," Appl. Opt. 37, 2615-2623 (1998)

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