Abstract
The three-dimensional radiative transport equation is solved for modeling the propagation of neutrons due to a line source which is placed in an anisotropically scattering half-space medium considering the effect of internal reflection at the interface. The application of the Fourier transform in the transverse directions and a modified spherical harmonics transform with respect to the angular variables lead to an expression for the specific intensity in terms of analytical functions. The final results are verified with Monte Carlo simulations.
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