Analytical and numerical approaches to calculating the escape function forthe emission of medium-energy electrons from uniform specimens

A program for the simulation of electron transport by the Monte Carlo metho d has been developed. This program implies the model of single scattering a nd dielectric approach (to calculate the characteristics of an inelastic in teraction). The escape functions for aluminum, germanium, and gold in the 0 .012-20 keV energy range were calculated. The characteristic lengths determ ining the electron dynamics (the elastic and inelastic mean free paths, iso tropization length, and integral path) were calculated using the differenti al cross sections for both elastic and inelastic interactions for these ele ments. The analysis of the relations between the characteristic lengths mad e it possible to determine the applicability range of the analytical expres sions for the emission functions obtained in [1]. The comparison of the res ults obtained analytically and numerically confirmed the conclusion of [1] about the form of the analytical approximation of the emission function for electrons of various energies and showed the validity of the obtained anal ytical expressions for the escape lengths of electrons. (C) 2001 MAIK "Nauk a/ Interperiodica".