Abstract
We report derivation of a distribution function of charges scattered due to an oblique incidence of a needle-shaped beam of charged particles from a vacuum onto a material medium, with the scattered particles landing up on the plane separating the medium and vacuum. To this end, the distribution function is used for multiple Coulomb scattering of a beam propagating in a homogeneous and unbounded medium. The phase plane shows the distributions of scattered charges corresponding to certain fixed values of the distribution function, i.e., phase portraits of a beam.
REFERENCES
Rossi, B., High Energy Particles, Englewood Cliffs, N.J.: Prentice-Hall, 1952.
Belen’kii, S.Z., Lavinnye protsessy v kosmicheskikh luchakh (Avalanche Processes in Cosmic Rays), Moscow: GITTL, 1948.
Kurakin, V.G. and Kurakin, P.V., Charged particles bunch–accelerator extraction window matching, Bull. Lebedev Phys. Inst., 2017, vol. 44, pp. 368–370. https://doi.org/10.3103/S1068335617120065
Kurakin, V.G. and Kurakin, P.V., Phase portrait of a scattered charged-particle bunch, Tech. Phys., 2018, vol. 63, pp. 772–775. https://doi.org/10.1134/S1063784218050158
Kurakin, V.G. and Kurakin, P.V., Reflection and refraction of a charged particle beam in a scattering medium, Tech. Phys., 2019, vol. 64, pp. 1749–1752. https://doi.org/10.1134/S1063784219120120
Kurakin, V.G. and Kurakin, P.V., On the theoretical basics of charged-particle-beam stochastic optics, Phys. Part. Nuclei Lett., 2018, vol. 15, pp. 786–789. https://doi.org/10.1134/S1547477118070464
Kurakin, V.G., Beam formation from radionuclide positron source by the charged particles beams stochastic optics method, in XXVII Russian Particle Accelerators Conference, 2021. https://accelconf.web.cern.ch/rupac2021/.
Kurakin, V.G. and Kurakin, P.V., Measuring the energy of a charged particle beam by stochastic electron optics methods, Phys. Part. Nucl. Lett., 2020, vol. 17, pp. 578–580. https://doi.org/10.1134/S1547477120040287
Kurakin, V.G., On the reflection law in stochastic electron optics, Bull. Lebedev Phys. Inst., 2021, vol. 48, no. 10, pp. 307–311. https://doi.org/10.3103/S1068335621100079
Funding
This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors of this work declare that they have no conflicts of interest.
Additional information
Translated by I. Ulitkin
Publisher’s Note.
Allerton Press remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
About this article
Cite this article
Kurakin, V. Phase Portrait of a Beam of Charged Particles Reflected from a Material Medium. Bull. Lebedev Phys. Inst. 51, 16–20 (2024). https://doi.org/10.3103/S1068335623600572
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068335623600572