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Efficient Evaluation of Arbitrary Static Fields For Symplectic Particle Tracking
This article describes a method devised for efficient evaluation of arbitrary static magnetic and electric fields in a source free region needed for long time tracking of charged particles. Field values given on the boundary of the region of interest are reproduced inside by an arrangement of hypotheti...
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Lenguaje: | eng |
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2018
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Acceso en línea: | https://dx.doi.org/10.1016/j.nima.2019.162841 http://cds.cern.ch/record/2625273 |
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author | Bojtar, Lajos |
author_facet | Bojtar, Lajos |
author_sort | Bojtar, Lajos |
collection | CERN |
description | This article describes a method devised for efficient evaluation of arbitrary static magnetic and electric fields in a source free region needed for long time tracking of charged particles. Field values given on the boundary of the region of interest are reproduced inside by an arrangement of hypothetical magnetic or electric monopoles surrounding the boundary surface. The vector and scalar potentials are obtained by summing the contributions of each monopole. The second step of the method improves the evaluation speed of the potentials and their derivatives by orders of magnitude. This comprises covering the region of interest by overlapping spheres, then calculating the spherical harmonic expansion of the potentials on each sphere. During tracking, field values are evaluated by calculating the solid harmonics and their derivatives inside a sphere containing the particle. Software has been developed to test and demonstrate the method on a small particle accelerator. To our knowledge, there is no other method of this kind, allowing long time symplectic integration in general static fields, without simplification. |
id | cern-2625273 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2018 |
record_format | invenio |
spelling | cern-26252732022-08-10T12:26:44Zdoi:10.1016/j.nima.2019.162841http://cds.cern.ch/record/2625273engBojtar, LajosEfficient Evaluation of Arbitrary Static Fields For Symplectic Particle TrackingAccelerators and Storage Ringsphysics.comp-phOther Fields of Physicsphysics.acc-phThis article describes a method devised for efficient evaluation of arbitrary static magnetic and electric fields in a source free region needed for long time tracking of charged particles. Field values given on the boundary of the region of interest are reproduced inside by an arrangement of hypothetical magnetic or electric monopoles surrounding the boundary surface. The vector and scalar potentials are obtained by summing the contributions of each monopole. The second step of the method improves the evaluation speed of the potentials and their derivatives by orders of magnitude. This comprises covering the region of interest by overlapping spheres, then calculating the spherical harmonic expansion of the potentials on each sphere. During tracking, field values are evaluated by calculating the solid harmonics and their derivatives inside a sphere containing the particle. Software has been developed to test and demonstrate the method on a small particle accelerator. To our knowledge, there is no other method of this kind, allowing long time symplectic integration in general static fields, without simplification.This article describes a method devised for efficient evaluation of arbitrary static magnetic and electric fields in a source free region needed for long time tracking of charged particles. Field values given on the boundary of the region of interest are reproduced inside by an arrangement of hypothetical magnetic or electric monopoles surrounding the boundary surface. The vector and scalar potentials are obtained by summing the contributions of each monopole. The second step of the method improves the evaluation speed of the potentials and their derivatives by orders of magnitude. This comprises covering the region of interest by overlapping spheres, then calculating the spherical harmonic expansion of the potentials on each sphere. During tracking, field values are evaluated by calculating the solid harmonics and their derivatives inside a sphere containing the particle. Software has been developed to test and demonstrate the method on a small particle accelerator. To our knowledge, there is no other method of this kind, allowing long time symplectic integration in general static fields, without simplification.This article describes a method devised for efficient evaluation of arbitrary static magnetic and electric fields in a source-free region needed for long-time tracking of charged particles. Field values given on the boundary of the region of interest are reproduced inside by an arrangement of hypothetical magnetic or electric monopoles surrounding the boundary surface. The vector and scalar potentials are obtained by summing the contributions of each monopole. The second step of the method improves the evaluation speed of the potentials and their derivatives by orders of magnitude. This comprises covering the region of interest by overlapping spheres, then calculating the spherical harmonic expansion of the potentials on each sphere. During tracking, field values are evaluated by calculating the solid harmonics and their derivatives inside a sphere containing the particle. Software has been developed to test and demonstrate the method on a small particle accelerator. To our knowledge, there is no other method that avoids the use of maps, while allowing long-time symplectic integration in general realistic static fields obtained from magnet design software or magnetic measurements.arXiv:1807.00714CERN-ACC-NOTE-2018-0046oai:cds.cern.ch:26252732018-06-04 |
spellingShingle | Accelerators and Storage Rings physics.comp-ph Other Fields of Physics physics.acc-ph Bojtar, Lajos Efficient Evaluation of Arbitrary Static Fields For Symplectic Particle Tracking |
title | Efficient Evaluation of Arbitrary Static Fields For Symplectic Particle Tracking |
title_full | Efficient Evaluation of Arbitrary Static Fields For Symplectic Particle Tracking |
title_fullStr | Efficient Evaluation of Arbitrary Static Fields For Symplectic Particle Tracking |
title_full_unstemmed | Efficient Evaluation of Arbitrary Static Fields For Symplectic Particle Tracking |
title_short | Efficient Evaluation of Arbitrary Static Fields For Symplectic Particle Tracking |
title_sort | efficient evaluation of arbitrary static fields for symplectic particle tracking |
topic | Accelerators and Storage Rings physics.comp-ph Other Fields of Physics physics.acc-ph |
url | https://dx.doi.org/10.1016/j.nima.2019.162841 http://cds.cern.ch/record/2625273 |
work_keys_str_mv | AT bojtarlajos efficientevaluationofarbitrarystaticfieldsforsymplecticparticletracking |