Modified FN solution of the neutron transport equation for the Milne problem with FBIS kernel

Abstract

The solution of the Milne problem is studied by one-speed neutron transport equation in plane geometry with Inonu’s scattering kernel, which is known as a linear combination of the forward, backward and isotropic scattering kernel (FBIS kernel). The solution of the neutron transport equation with Inonu’s scattering kernel can be written in terms of the solution of the neutron transport equation for isotropic scattering case. The extrapolation distance is calculated with modified FN (or $$H_{\mathrm{N}}$$ ) method. The numerical values of the extrapolation distance are obtained depending on the secondary neutron numbers and anisotropy coefficients and compared with the available data in the literature values.