The Angular Distribution of Fast Charged Particles Reflected by the Surface of a Single Crystal

Kalashnikov, N. P.

doi:10.1007/978-1-4615-8996-9_20

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“…The energy spectra presented in Fig. 3 indicate that the results obtained in the framework of the linearized theory of invariant imbedding (17) and (18) …”

Section: Resultsmentioning

confidence: 81%

“…1 shows the energy spectra of reflected electrons calculated according to (17) and (18), i.e. with account of the fluctuations of energy losses (curve b), and according to (19), i.e.…”

Section: Resultsmentioning

confidence: 99%

“…2 shows the energy spectrum of MeV electrons. The calculations were made with account of relativistic corrections in accordance with [17,201. In this case (18) and (19) give practically the same results, which is in agreement with the calculation of [14].…”

Section: Resultsmentioning

confidence: 99%

“…The calculation of r,(A) according to this formula is most easily done in the continuous slowing-down approximation, where W ( p ) = Bp [17]. In this case one has Here A' is taken to be the dimensionless quantity A' = (Eo -E)/E and the coefficient E, which determines the average losses per unit pathlength, is found as m B = S &min(E0; E ) dE .…”

Section: =0mentioning

confidence: 99%

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Backscattering of Fast Electrons

Афанасьев

Naujoks

1991

Physica Status Solidi (b)

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The inelastic reflection of fast electrons is investigated on the base of the "invariant imbedding method". The non-linear term in the integral equation can be neglected owing to the strong anisotropy of elastic cross-section of fast electrons. Using the Fokker-Planck approximation and the Laplace transformation a simple analytical formula is found expanding the backscattering coeficient into a series of Legendre polynomials. It is shown that the results from the model are in good quantitative agreement with experimental data.Die Ruckdiffusion schneller Electronen wird mit Hilfe der ,,EinschlieBungsmethode" beschrieben, wobei das nichtlineare Glied in der erhaltenen Integralgleichung auf Grund der starken Anisotropie des elastischen Streuquerschnitts vernachlassigt wird. Eine einfache analytische Losung, als Reihenentwicklung nach den Legendreschen Polynomen dargestellt, wird im Model1 kleiner Winkelstreuung und mit Hilfe der Laplace-Transformation gefunden. Es wird gezeigt, daB die erhaltenen Ergebnisse gut mit experimentellen Werten iibereinstimmen.

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“…The energy spectra presented in Fig. 3 indicate that the results obtained in the framework of the linearized theory of invariant imbedding (17) and (18) …”

Section: Resultsmentioning

confidence: 81%

“…1 shows the energy spectra of reflected electrons calculated according to (17) and (18), i.e. with account of the fluctuations of energy losses (curve b), and according to (19), i.e.…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: =0mentioning

confidence: 99%

See 2 more Smart Citations