THE MILNE PROBLEM FOR EXTREMELY ANISOTROPIC SCATTERING WITH THE P-L METHOD

The extremely anisotropic scattering kernel is used to determine the n eutron distribution everywhere in a source free half space with zero i ncident flux. Neutrons are diffusing from a source at x = +infinity. T he left-hand side of the half space is a vacuum. The solution of the n eutron transport equation for the angular distribution is obtained by using the well known P-L method. First the moment equations for the mo ment solutions for anisotropic scattering are transformed into the equ ations written for isotropic scattering and then they are transformed back to obtain the solution of the neutron transport equation. The num erical results obtained for P-3, P-5, P-7, P-9 approximations are in g eneral in agreement with the approximate values previously obtained by using the method of elemantary solutions.