Explicit symplectic integrator for particle tracking in s-dependent static electric and magnetic fields with curved reference trajectory

Explicit symplectic integrator for particle tracking in s-dependent static electric and magnetic fields with curved reference trajectory

We describe a method for symplectic tracking of charged particles through static electric and magnetic fields. The method can be applied to cases where the fields have a dependence on the longitudinal as well as transverse position and where the reference trajectory may have nonzero curvature. Appli...

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Main Authors: A. Wolski, A. T. Herrod
Format: Article
Language:English
Published: American Physical Society 2018-08-01
Series:Physical Review Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevAccelBeams.21.084001
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spelling doaj-05a454b2f2484e82ae6fdca324fcceaa2020-11-25T00:37:45ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882018-08-0121808400110.1103/PhysRevAccelBeams.21.084001Explicit symplectic integrator for particle tracking in s-dependent static electric and magnetic fields with curved reference trajectoryA. WolskiA. T. HerrodWe describe a method for symplectic tracking of charged particles through static electric and magnetic fields. The method can be applied to cases where the fields have a dependence on the longitudinal as well as transverse position and where the reference trajectory may have nonzero curvature. Application of the method requires analytical expressions for the scalar and vector potentials: We show how suitable expressions, in the form of series analogous to multipole expansions, can be constructed from numerical field data, allowing the method to be used in cases where only numerical field data are available.http://doi.org/10.1103/PhysRevAccelBeams.21.084001
collection DOAJ
language English
format Article
sources DOAJ
author A. Wolski
A. T. Herrod
spellingShingle A. Wolski
A. T. Herrod
Explicit symplectic integrator for particle tracking in s-dependent static electric and magnetic fields with curved reference trajectory
Physical Review Accelerators and Beams
author_facet A. Wolski
A. T. Herrod
author_sort A. Wolski
title Explicit symplectic integrator for particle tracking in s-dependent static electric and magnetic fields with curved reference trajectory
title_short Explicit symplectic integrator for particle tracking in s-dependent static electric and magnetic fields with curved reference trajectory
title_full Explicit symplectic integrator for particle tracking in s-dependent static electric and magnetic fields with curved reference trajectory
title_fullStr Explicit symplectic integrator for particle tracking in s-dependent static electric and magnetic fields with curved reference trajectory
title_full_unstemmed Explicit symplectic integrator for particle tracking in s-dependent static electric and magnetic fields with curved reference trajectory
title_sort explicit symplectic integrator for particle tracking in s-dependent static electric and magnetic fields with curved reference trajectory
publisher American Physical Society
series Physical Review Accelerators and Beams
issn 2469-9888
publishDate 2018-08-01
description We describe a method for symplectic tracking of charged particles through static electric and magnetic fields. The method can be applied to cases where the fields have a dependence on the longitudinal as well as transverse position and where the reference trajectory may have nonzero curvature. Application of the method requires analytical expressions for the scalar and vector potentials: We show how suitable expressions, in the form of series analogous to multipole expansions, can be constructed from numerical field data, allowing the method to be used in cases where only numerical field data are available.
url http://doi.org/10.1103/PhysRevAccelBeams.21.084001
work_keys_str_mv AT awolski explicitsymplecticintegratorforparticletrackinginsdependentstaticelectricandmagneticfieldswithcurvedreferencetrajectory
AT atherrod explicitsymplecticintegratorforparticletrackinginsdependentstaticelectricandmagneticfieldswithcurvedreferencetrajectory
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