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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2018-08-01
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| Series: | Physical Review Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevAccelBeams.21.084001 |
| _version_ | 1818214592813203456 |
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| author | A. Wolski A. T. Herrod |
| author_facet | A. Wolski A. T. Herrod |
| author_sort | A. Wolski |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-12T06:22:38Z |
| format | Article |
| id | doaj.art-05a454b2f2484e82ae6fdca324fcceaa |
| institution | Directory Open Access Journal |
| issn | 2469-9888 |
| language | English |
| last_indexed | 2024-12-12T06:22:38Z |
| publishDate | 2018-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Accelerators and Beams |
| spelling | doaj.art-05a454b2f2484e82ae6fdca324fcceaa2022-12-22T00:34:52ZengAmerican 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 |
| 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 |
| title | 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_short | 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 |
| url | http://doi.org/10.1103/PhysRevAccelBeams.21.084001 |
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