On the application of the invariant embedding method and the radiative transfer equation codes for surface state analysis

Kurzfassung

In our work we make an approbation of DISORT-like codes on the experimental base of electron spectroscopy. Due to the high accuracy of RTE solution algorithms the information about single–scattering albedo for electrons and inelastic mean free path of the surface layers is extracted from angular distributions of elastically scattered electrons. On the base of the invariant embedding method four integral-differential equations for the transmittance and the reflectance are derived. They are linearized and solved analytically in the small-angle approximation. Having math expressions it is easy to solve inverse problems by the fitting procedure. The expressions for the reflection function for each layer are derived. The energy scanning method for the surface analysis is developed on their base. The error of Rubin-Everhart model is obtained.