An Algorithm to Calculate the Magnetic Field in a Helical Magnetic Trap

In this paper, we present an algorithm for calculating the magnetic field inside a helical magnetic trap. An important feature of the proposed algorithm is that it automatically fulfills both the finite-difference Gauss law for the magnetic field, which is ensured by the use of staggered grids for t...

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Published inLobachevskii journal of mathematics Vol. 46; no. 1; pp. 13 - 20
Main Authors Ayupov, D. A., Liseykina, T. V., Vshivkov, V. A.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.01.2025
Springer Nature B.V
Subjects
Algebra
Algorithms
Analysis
Computational grids
Divergence
Geometry
Magnetic fields
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Vector potentials
charge conservation
2020 Mathematics Subject Classification: 76X05, 65M06
magnetic trap
iterative method
Coulomb gauge
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Summary:In this paper, we present an algorithm for calculating the magnetic field inside a helical magnetic trap. An important feature of the proposed algorithm is that it automatically fulfills both the finite-difference Gauss law for the magnetic field, which is ensured by the use of staggered grids for the vector potential components, and the condition of divergence-free vector potential imposed by the Coulomb gauge. The latter is achieved by a special method for calculating the spiral electric current on the computational grid. The created algorithm can be applied to any configuration of time-independent currents. In particular, it can be used to calculate the initial field in an axisymmetric multimirror magnetic trap as well.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080224608580