The multiple-scattering problem in electron Compton scattering on solids

Abstract
Starting from the necessity for an accurate background estimation for electron Compton scattering on solids (ECOSS) we investigated the contribution of multiple-scattering events to angle-resolved electron-energy-loss spectra at large momentum transfer. Plasmon excitation, elastic and quasielastic (i.e. phonon) scattering and single-particle excitation (i.e. Compton scattering) are included in the calculation of total scattering profiles, which is done in Fourier space with a new fast Hankel transform algorithm and standard fast Fourier transform techniques. We show that the elastic background is dominant and demonstrate that the widely used power-law fit for background subtraction fails in ECOSS.