Physics of Particles and Nuclei Letters

, Volume 15, Issue 7, pp 786–789 | Cite as

On the Theoretical Basics of Charged-Particle-Beam Stochastic Optics

  • V. G. Kurakin
  • P. V. Kurakin
Beam Dynamics, Cooling Methods and New Methods of Particle Acceleration


The distribution function describing the process of multiple Coulomb scattering is used to investigate the charged-particle-beam dynamics in scattering media. Formulae are presented that describe the phase portrait of the scattered beam through the incident beam and scattering medium parameters. The notion of a beam matched to the target is introduced. The refraction and reflection phenomena at the tilt interface between the medium and vacuum are studied. A mathematical model of flow tubes is suggested to carry out the appropriate calculations.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A. V. Koltsov, A. V. Serov, and I. A. Mamonov, “Experimental study of the scattering of 7.4-MeV electrons intersecting a foil at angle of 5–60 degrees to its surface,” in Proceedings of Russian Particle Accelerator Conference RuPAC-2016, Obninsk, Oct. 6–10, 2014, pp. 401–403.
  2. 2.
    B. Rossey, High-Energy Particles (Prentice-Hall, NewYork, 1952).Google Scholar
  3. 3.
    S. Z. Belen’kii, Avalanche Processes in Cosmic Rays (GITTL, Moscow, Leningrad, 1948) [in Russian].Google Scholar
  4. 4.
    V. G. Kurakin and P. V. Kurakin, “Charged beams optical proprties of scattering media,” in Proceedings of the Russian Particle Accelerator Conference RuPAC 2016, St. Petersburg, Russia, Nov. 21–25, 2016, pp. 521–523.Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Lebedev Physical Institute of the Russian Academy of SciencesMoscowRussia
  2. 2.Trapeznikov Institute of Control SciencesRussian Academy of SciencesMoscowRussia

Personalised recommendations