Electron Transport in One-Dimensional Finite Systems

A semi-analytical technique making use of a set of coupled integral equations has been developed for solving problems in electron transport. This method is applicable to one-dimensional finite systems. The flux and source density are expanded in Fourier series, and a set of integral equations relating the Fourier coefficients is derived. This set of coupled equations is solved by iteration. Dose distributions and transmitted energy spectra have been obtained for plane perpendicular and point isotropic sources. These compare well with earlier calculations for both low- and high-Z materials.