Half space albedo problem for the nonconservative vector equation of transfer with a combination of Rayleigh and isotropic scattering

Abstract

The half-space albedo problem has been solved for a combination of Rayleigh and isotropic scattering using $H_{N}$ method which is developed for the neutron transport studies. The numerical results are compared with exact values obtained using variational method and Chandrasekhar’s equation for the $\mathbf{H}$ -matrix. The analytical solutions of $H_{N}$ method are easy to handle in comparison with the other methods. The numerical results are in good agreement with previous works in literature.