Research output: Contribution to journal › Article › peer-review
Methods of geometrical integration in accelerator physics. / Andrianov, S. N.
In: Physics of Particles and Nuclei Letters, Vol. 13, No. 7, 12.2016, p. 780-783.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Methods of geometrical integration in accelerator physics
AU - Andrianov, S. N.
PY - 2016/12
Y1 - 2016/12
N2 - In the paper we consider a method of geometric integration for a long evolution of the particle beam in cyclic accelerators, based on the matrix representation of the operator of particles evolution. This method allows us to calculate the corresponding beam evolution in terms of two-dimensional matrices including for nonlinear effects. The ideology of the geometric integration introduces in appropriate computational algorithms amendments which are necessary for preserving the qualitative properties of maps presented in the form of the truncated series generated by the operator of evolution. This formalism extends both on polarized and intense beams. Examples of practical applications are described.
AB - In the paper we consider a method of geometric integration for a long evolution of the particle beam in cyclic accelerators, based on the matrix representation of the operator of particles evolution. This method allows us to calculate the corresponding beam evolution in terms of two-dimensional matrices including for nonlinear effects. The ideology of the geometric integration introduces in appropriate computational algorithms amendments which are necessary for preserving the qualitative properties of maps presented in the form of the truncated series generated by the operator of evolution. This formalism extends both on polarized and intense beams. Examples of practical applications are described.
KW - geometric integration
KW - particle beam
KW - accelerator
KW - computational algorithms
KW - preserving the qualitative properties
U2 - 10.1134/S1547477116070062
DO - 10.1134/S1547477116070062
M3 - Article
VL - 13
SP - 780
EP - 783
JO - Physics of Particles and Nuclei Letters
JF - Physics of Particles and Nuclei Letters
SN - 1547-4771
IS - 7
ER -
ID: 7549654