Theoretical analysis of energy spectra of electrons reflected from the Nb/Si two-layer targets

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Single-deflection model & Continuous slowing down approximation

Πθρ.1

Fig. 1. Reflected electron spectra

q0 – incident angle, q - reflection angle, x – thickness of Nb-layer, E0 – energy of incident electrons, R – reflection function, e - mean energy losses (averaged by electron path).

Consistent solution of elastic and inelastic problems

The calculation of electron energy spectra reflected from heterogeneous in depths targets is based on formulas  (7), (9), (10), (14).

Fig.2. Reflected electrons spectra

Solid line shows experimental data, dashed line – calculation for two-layer model. Varying of the top Nb-layer thickness for each target the Nb-layer thickness has been obtained that fits experimental data best (fitting-procedure). Nb-layer thicknesses found with a help of fitting-procedure are as following: x1=93 nm, x2=63, x3=29 nm.

Fitting

Fig.3 Fitting-procedure

There are only thicknesses of the layers which varied in fitting-procedure. The model as such together with all its parameters has been kept constant. Solid line – experiment data, dashed line – calculation.

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