The Probabilistic Method for Problems of Radiative Transfer

The Markov Property of Radiative Transfer and of Neutron Diffusion

by S. Ueno


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A study relating the theory of radiative transfer to basic methods in the theory of probability. On the basis of the stochastic model of multiple scattering of photons, the author discusses the diffuse reflection and transmission of a parallel beam of radiation by a finite plane-parallel, nonemitting, and homogeneous atmosphere with conservative and isotropic scattering. It is assumed that the stochastic process considered represents a homogeneous stationary evolution in a Markovian manner with respect to the optical depth.

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