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Estimate of the applicability of theory to the problem of the penetration of a charged particle through a layer

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Conclusions

By using our method of simulating an electron trajectory we have investigated the effect of boundaries on the spectral characteristics of electron fluxes penetrating a layer. The following results have been obtained:

  1. 1.

    It has been shown to be possible to use the Monte Carlo method to estimate physical information obtainable by using approximate solutions of the kinetic equations in problems of charged particle transport.

  2. 2.

    An algorithm has been formulated for simulating individual interactions of an electron with a scattering atom in a simple physical model which permits an estimate of the effect of boundaries and range straggling on the spectral characteristics of fluxes penetrating a layer of material.

  3. 3.

    Taking boundary conditions successively into account appreciably deforms the angular distribution of electrons penetrating a layer in comparison with the Goudsmit-Saunderson distribution. It is shown that the small-angle correction is not correct in this case.

  4. 4.

    Calculations of the moments of the radial distribution show that the commonly used assumption of a Gaussian distribution in the energy range under consideration (20–60 keV) is not realized.

  5. 5.

    Taking account of range straggling in the penetration of a charged particle through a layer deforms the spectrum of energy losses in comparison with theory [5, 6] as a consequence of the increase in the fraction of large losses.

All the results obtained, based on a simple physical model, are quite general and do not involve further assumptions of the nature of the model.

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Translated from Atomnaya Énergiya, Vol. 35, No. 2, pp. 95–100, August, 1973.

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Belyaev, A.A., Krupman, A.I. Estimate of the applicability of theory to the problem of the penetration of a charged particle through a layer. At Energy 35, 716–721 (1973). https://doi.org/10.1007/BF01127068

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  • DOI: https://doi.org/10.1007/BF01127068

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