Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2012, Issue 3, Pages 48–58 (Mi vspui81)  
This article is cited in 1 scientific paper (total in 1 paper)

Applied mathematics

Modeling of Coulomb interaction in an axially symmetric inhomogeneous beam of charged particles

V. A. Kozynchenko

St. Petersburg State University, Faculty of Applied Mathematics and Control Processes
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Abstract: A mathematical model of an axially symmetric inhomogeneous beam of charged particles is considered. It is proposed to represent a beam as a set of charged hollow cylinders being in the circular metal tube of a constant radius. It is proposed to simulate the function of the beam charge density by an analytical function. By solving a boundary value problem for the Poisson equation the analytical formulas for intensity of the electrostatic field of a charged particle beam are obtained.
Keywords: mathematical modeling, accelerators of the charged particles, bunches of the charged particles, Kulon field of the charged bunches, calculation of an internal field of bunches.

Accepted: April 26, 2012
Document Type: Article
UDC: 517.558
Language: Russian
Citation: V. A. Kozynchenko, “Modeling of Coulomb interaction in an axially symmetric inhomogeneous beam of charged particles”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2012, no. 3, 48–58
Citation in format AMSBIB
\Bibitem{Koz12}
\by V.~A.~Kozynchenko
\paper Modeling of Coulomb interaction in an axially symmetric inhomogeneous beam of charged particles
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2012
\issue 3
\pages 48--58
\mathnet{http://mi.mathnet.ru/vspui81}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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    References:34
    First page:10
     
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