Solving the constant source problem for the quadratic anisotropic scattering kernel using the modified F-N method

Abstract

In this work, the F-N method with different numerical approximations is used to solve the constant source problem for the quadratic anisotropic scattering kernel. Casev eigenfimctions and the orthogonality relations of this scattering are obtained analytically for one-speed and homogenous transport equation. The aim is to find the albedo values in plane geometry for the half-space when the medium boundary contains a plane source.