Spherical geometric model for absorption electrons/positrons phenomenon: Application to the mean penetration depth calculation

I present a spherical geometric model for the slowing down and transport of electrons and positrons in solids. This latter is mainly based on the Continuous Slowing Down Approximation (CSDA) scheme. In advantage, I have developed an analytical expression of the mean penetration depth at normal and oblique incidence by combination between my model and the Vicanek and Urbassek theory. For this, I have used the Relativistic Partial Wave Expansion Method (RPWEM) and the optical dielectric model to calculate the elastic cross-sections and the ranges respectively. Good agreement was found with the experimental and theoretical data.

► We present a spherical geometric model for the absorbed electrons/positrons in solids. ► A new analytical electrons and positrons mean penetration depth in solids is proposed. ► This later is mainly based in CSDA scheme and reflection coefficient theory. ► A reasonable agreement with the available data is remarked.