Geodesic
Modeling of Coulomb interaction in an axially symmetric inhomogeneous beam of charged particles
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2012), pp. 48-58

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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. 
V. A. Kozynchenko. Modeling of Coulomb interaction in an axially symmetric inhomogeneous beam of charged particles. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2012), pp. 48-58. http://geodesic.mathdoc.fr/item/VSPUI_2012_3_a4/
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     title = {Modeling of {Coulomb} interaction in an axially symmetric inhomogeneous beam of charged particles},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2012_3_a4/}
}
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