Abstract
A method is presented for the calculation of the emergent particle distributions of the albedo problem in one-speed transport theory with arbitrary anisotropic scattering. From a singular eigenfunction expansion of the solution of the albedo problem and the orthogonality properties of these eigenfunctions, a pair of coupled Fredholm integral equations of the second kind are obtained for the reflected and transmitted distributions. These integral equations are readily decoupled, and can be approximated by a set of linear equations from which very accurate numerical solutions are obtained.
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