Effects of Fresnel and diffused reflectivities on light transport in a half-space medium

Radiation transfer problem for isotropically scattering, non-absorbing half -space medium with angular-dependent (specular) and constant diffuse reflec ting boundary is considered. The angular-dependent reflectivity of the boun dary is considered as Fresnel's reflection probability function. Some physi cal and engineering quantities of interest such as angular distribution of radiation, total density of radiation and extrapolated endpoint are compute d for various values of refractive index and diffuse reflecting coefficient using variational method. For sake of comparisons, results with average an d effective reflectivities are carried out for different values of refracti ve indices. Our results for non-diffuse reflectivity are compared with the available data given for specular Fresnel's reflectivity which show excelle nt agreement, (C) 1999 Elsevier Science Ltd. All rights reserved.