Inverse Monte Carlo solutions for radiative transfer in inhomogeneous media

Mathematics

Scientific paper

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Anisotropic Media, Atmospheric Physics, Inversions, Monte Carlo Method, Radiative Transfer, Scattering Functions, Albedo, Approximation, Boundary Value Problems, Half Spaces, Inhomogeneity, Nuclear Medicine, Optical Density, Radiation Shielding, Robustness (Mathematics)

Scientific paper

The solutions for three radiative transfer inverse problems in which the single scatter albedo varies with the medium and the scattering is isotropic are constructed by means of the inverse Monte Carlo method. The problems involve a half space whose single scatter albedo varies exponentially, a two-region slab for each of whose regions the single scatter albedo is sought, and the approximate solution for a finite, plane-parallel medium whose single scatter albedo varies exponentially. The solution for the last problem is obtained by considering the medium to be composed of five regions, each with constant single scatter albedo.

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