Milne's problem for anisotropic scattering medium with specular reflecting boundary

摘要

The Milne problem is investigated subject to reflecting boundary conditions. The original version of the problem with vacuum boundary condition is generalized assigning, to the surface x = 0, a specular reflection coefficient rho(s) (0 <= rho(s) <= 1). Linearly anisotropic case is studied. The integral version of the transport equation solved using trial functions based on Case's eigenvalues and exponential integral function. Solution of the Milne problem is formulated in terms of characteristic parameters such as extrapolated end point, emergent angular distribution and total neutron density. Numerical results for the analytically evaluated parameters are then present. Some of our numerical results are compared with the available published results. (C) 2005 Published by Elsevier Ltd.