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 o...

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Bibliographic Details
Published in:Vacuum 2012-07, Vol.86 (12), p.1855-1859
Main Author: Bentabet, A.
Format: Article
Language:English
Subjects:
Approximation
Continuous slowing down approximation
Cross sections
Electron
Exact solutions
Mathematical analysis
Mathematical models
Mean penetration depth
Monte Carlo simulation
Normal incidence
Oblique incidence
Penetration depth
Positron
Positrons
Retarding
Vicanek and Urbassek theory
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Summary: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.
ISSN:0042-207X
1879-2715
DOI:10.1016/j.vacuum.2012.04.023