Solution of the Energy-Dependent Neutron Transport Equation in Plane Geometry by Separation of Variables

Decomposition of the energy-dependent neutron transport equation in plane geometry into simpler coupled one-speed and slowing down equations offers a relatively simple way of approximately solving the transport problem. This paper demonstrates how this decomposition can be made and illustrates the solution of the transport equation in the TPN approximation. Using the methods developed, the infinite medium Green’s function and albedo problems are solved in the age diffusion approximation.