Solution of Spencer–Lewis equation in an infinite medium plane and spherical geometries

Abstract

The total electron density and energy deposition profile for electrons incident on an aluminium slab have been studied. This has been achieved by using moment technique and Legendre expansion for solving Spencer–Lewis (S–L) equation. The solution has been obtained in two different geometries, i.e., in an infinite medium plane and spherical geometries. Then, numerical calculations have been done for the total electron density and energy deposition profile for electrons incident on a 0.04 ( g/ cm 2) thick aluminium slab. The obtained results are satisfactory when compared with that found previously (Filippone, Nucl Sci Eng 95 (1987) 22).