AN EFFICIENT ANALYTICAL METHOD FOR CALCULATING THE ANGULAR AND ENERGY-DISTRIBUTION OF ELECTRONS WHICH HAVE UNDERGONE PLURAL SCATTERING IN AMORPHOUS MATERIALS

An accurate and efficient quasi-analytical method is presented for calculating the angular and energy distribution of electrons which have undergone plural scattering through amorphous or polycrystalline materials. The method takes advantage of a property of the inelastic scattering differential cross-section which allows us to make an ad-hoc derivation of a simple analytic formula for the angular distribution of the plurally scattered component of the beam. In this way the energy distribution of the scattered beam can be easily derived using a limited number of one-dimensional Fourier transforms in the energy domain only. The method takes into account both the inelastic and elastic scattering of electrons and for the cases explored provides a major improvement in speed and accuracy over traditional Monte Carlo and transport equation methods. Examples of the speed and accuracy of this method are presented for a number of organic materials.