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

Mathematics – Probability

Scientific paper

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Radiative Transfer: Scattering

Scientific paper

Radiation transfer problem for isotropically scattering, non-absorbing half-space medium with angular-dependent (specular) and constant diffuse reflecting boundary is considered. The angular-dependent reflectivity of the boundary is considered as Fresnel's reflection probability function. Some physical and engineering quantities of interest such as angular distribution of radiation, total density of radiation and extrapolated endpoint are computed for various values of refractive index and diffuse reflecting coefficient using variational method. For sake of comparisons, results with average and effective reflectivities are carried out for different values of refractive indices. The authors' results for non-diffuse reflectivity are compared with the available data given for specular Fresnel's reflectivity which show excellent agreement.

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