Non-stationary one-dimensional probabilistic radiative transfer in a bounded medium

Details Non-stationary one-dimensional probabilistic radiative transfer in a bounded medium Non-stationary one-dimensional probabilistic radiative transfer in a bounded medium

Oct 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ap%26ss..37..383g&link_type=abstract

Astrophysics and Space Science, vol. 37, Oct. 1975, p. 383-400.

Mathematics

Probability

Light Scattering, Photon Density, Probability Theory, Radiative Transfer, Albedo, Laplace Transformation, Monochromatic Radiation, Random Processes, Time Dependence

Scientific paper

Monochromatic time-dependent diffusion of a photon in a homogeneous bounded medium is considered as a one-dimensional probabilistic process in a medium with absorbing boundaries. Simple and intuitive relations are shown to exist between Laplace transforms of time-dependent distributions of photons in infinite medium and inside a bounded medium, as well as for the corresponding emerging intensities. One obtains in particular an explicit and exact expression for the original time-dependent distribution inside a bounded one-dimensional medium.

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