Abstract

The theoretical approach, based on solving the kinetic equation in the transport approximation, to describe photoemission, has been verified by comparison with Monte Carlo calculations. The analytical expression for the photoelectron distribution with respect to both azimuthal and polar angles has been derived. The angular spectrum of signal photoelectrons has been found to consist of three terms. One of the terms corresponds to the particles escaping from the sample without being scattered elastically and coincides with the initial angular distribution of photoelectrons ejected from atoms, the other terms describe the partly and fully randomized fractions of the photoelectron current. The mean escape depth of signal electrons leaving the target in a narrow solid angle has been calculated analytically. This escape depth generally depends on the azimuthal and polar emission angles as well as on the asymmetry parameter. It is shown that, in the case of heavy elements, the elastic collisions affect noticeably the mean escape depth. The sampling depth differs significantly from the value found in the straight line approximation. The analytical results are in good agreement with the corresponding Monte Carlo data obtained by making use of a realistic differential elastic scattering cross section.

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