Particle trajectory tracing for electrostatic and magnetostatic fields
Main Author: | |
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Publication Date: | 2009 |
Other Authors: | , |
Format: | Conference object |
Language: | por |
Source: | Repositório Institucional do IEN |
Download full: | http://carpedien.ien.gov.br:8080/handle/ien/2448 |
Summary: | This work reports a numerical method for single charged particle trajectories computation in 2D electrostatic and magnetostatic stationary fields, in other words, fields that do not change in time. This is approached by the finite element method domain discretisation, and numerical computation of particle trajectory, calculated by the two step centred in time method, which calculates the particle position on the next step using a dummy step in order to increase the accuracy for the same step size. Given particle's coordinates, the finite element that contains that particle is found based on Lohner's algorithm. The examples used to test the method are a electric deflector for the electric case and cyclotron for the magnetic case. Both are very important devices to science and technology, being used in a variety of domestic and industrial appliances and in several scientific and technologic researches. Other particle optics devices can benefit of the method proposed in this paper, as beam bending devices and spectrometers, among others. This method can be easily extended for particle trajectories computation in 3D domains, can be extended also for dynamic fields and for the relativistic case, which is ideal for the typical speed involved when working with particles near the atomic level. |
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Carvalho, Mairo Cunha deJospin, Reinaldo JacquesInstituto de Engenharia Nuclear2018-06-11T17:42:12Z2018-06-11T17:42:12Z2009-09http://carpedien.ien.gov.br:8080/handle/ien/2448Submitted by Almir Azevedo (barbio1313@gmail.com) on 2018-06-11T17:42:12Z No. of bitstreams: 1 PARTICLE TRAJECTORY TRACING FOR ELECTROSTATIC AND MAGNETOSTATIC FIELDS.pdf: 281000 bytes, checksum: 15470bc37d6bda4b8d36103b662d819c (MD5)Made available in DSpace on 2018-06-11T17:42:12Z (GMT). No. of bitstreams: 1 PARTICLE TRAJECTORY TRACING FOR ELECTROSTATIC AND MAGNETOSTATIC FIELDS.pdf: 281000 bytes, checksum: 15470bc37d6bda4b8d36103b662d819c (MD5) Previous issue date: 2009-09This work reports a numerical method for single charged particle trajectories computation in 2D electrostatic and magnetostatic stationary fields, in other words, fields that do not change in time. This is approached by the finite element method domain discretisation, and numerical computation of particle trajectory, calculated by the two step centred in time method, which calculates the particle position on the next step using a dummy step in order to increase the accuracy for the same step size. Given particle's coordinates, the finite element that contains that particle is found based on Lohner's algorithm. The examples used to test the method are a electric deflector for the electric case and cyclotron for the magnetic case. Both are very important devices to science and technology, being used in a variety of domestic and industrial appliances and in several scientific and technologic researches. Other particle optics devices can benefit of the method proposed in this paper, as beam bending devices and spectrometers, among others. This method can be easily extended for particle trajectories computation in 3D domains, can be extended also for dynamic fields and for the relativistic case, which is ideal for the typical speed involved when working with particles near the atomic level.porInstituto de Engenharia NuclearIENBrasilMétodo numéricoPartículasEletrostáticaParticle trajectory tracing for electrostatic and magnetostatic fieldsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectIV INACinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional do IENinstname:Instituto de Engenharia Nuclearinstacron:IENLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://carpedien.ien.gov.br:8080/xmlui/bitstream/ien/2448/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52ORIGINALPARTICLE TRAJECTORY TRACING FOR ELECTROSTATIC AND MAGNETOSTATIC FIELDS.pdfPARTICLE TRAJECTORY TRACING FOR ELECTROSTATIC AND MAGNETOSTATIC FIELDS.pdfapplication/pdf281000http://carpedien.ien.gov.br:8080/xmlui/bitstream/ien/2448/1/PARTICLE+TRAJECTORY+TRACING+FOR+ELECTROSTATIC+AND+MAGNETOSTATIC+FIELDS.pdf15470bc37d6bda4b8d36103b662d819cMD51ien/2448oai:carpedien.ien.gov.br:ien/24482018-06-11 14:42:12.583Dspace IENlsales@ien.gov.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 |
dc.title.pt_BR.fl_str_mv |
Particle trajectory tracing for electrostatic and magnetostatic fields |
title |
Particle trajectory tracing for electrostatic and magnetostatic fields |
spellingShingle |
Particle trajectory tracing for electrostatic and magnetostatic fields Carvalho, Mairo Cunha de Método numérico Partículas Eletrostática |
title_short |
Particle trajectory tracing for electrostatic and magnetostatic fields |
title_full |
Particle trajectory tracing for electrostatic and magnetostatic fields |
title_fullStr |
Particle trajectory tracing for electrostatic and magnetostatic fields |
title_full_unstemmed |
Particle trajectory tracing for electrostatic and magnetostatic fields |
title_sort |
Particle trajectory tracing for electrostatic and magnetostatic fields |
author |
Carvalho, Mairo Cunha de |
author_facet |
Carvalho, Mairo Cunha de Jospin, Reinaldo Jacques Instituto de Engenharia Nuclear |
author_role |
author |
author2 |
Jospin, Reinaldo Jacques Instituto de Engenharia Nuclear |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Carvalho, Mairo Cunha de Jospin, Reinaldo Jacques Instituto de Engenharia Nuclear |
dc.subject.por.fl_str_mv |
Método numérico Partículas Eletrostática |
topic |
Método numérico Partículas Eletrostática |
dc.description.abstract.por.fl_txt_mv |
This work reports a numerical method for single charged particle trajectories computation in 2D electrostatic and magnetostatic stationary fields, in other words, fields that do not change in time. This is approached by the finite element method domain discretisation, and numerical computation of particle trajectory, calculated by the two step centred in time method, which calculates the particle position on the next step using a dummy step in order to increase the accuracy for the same step size. Given particle's coordinates, the finite element that contains that particle is found based on Lohner's algorithm. The examples used to test the method are a electric deflector for the electric case and cyclotron for the magnetic case. Both are very important devices to science and technology, being used in a variety of domestic and industrial appliances and in several scientific and technologic researches. Other particle optics devices can benefit of the method proposed in this paper, as beam bending devices and spectrometers, among others. This method can be easily extended for particle trajectories computation in 3D domains, can be extended also for dynamic fields and for the relativistic case, which is ideal for the typical speed involved when working with particles near the atomic level. |
description |
This work reports a numerical method for single charged particle trajectories computation in 2D electrostatic and magnetostatic stationary fields, in other words, fields that do not change in time. This is approached by the finite element method domain discretisation, and numerical computation of particle trajectory, calculated by the two step centred in time method, which calculates the particle position on the next step using a dummy step in order to increase the accuracy for the same step size. Given particle's coordinates, the finite element that contains that particle is found based on Lohner's algorithm. The examples used to test the method are a electric deflector for the electric case and cyclotron for the magnetic case. Both are very important devices to science and technology, being used in a variety of domestic and industrial appliances and in several scientific and technologic researches. Other particle optics devices can benefit of the method proposed in this paper, as beam bending devices and spectrometers, among others. This method can be easily extended for particle trajectories computation in 3D domains, can be extended also for dynamic fields and for the relativistic case, which is ideal for the typical speed involved when working with particles near the atomic level. |
publishDate |
2009 |
dc.date.issued.fl_str_mv |
2009-09 |
dc.date.accessioned.fl_str_mv |
2018-06-11T17:42:12Z |
dc.date.available.fl_str_mv |
2018-06-11T17:42:12Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
status_str |
publishedVersion |
format |
conferenceObject |
dc.identifier.uri.fl_str_mv |
http://carpedien.ien.gov.br:8080/handle/ien/2448 |
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http://carpedien.ien.gov.br:8080/handle/ien/2448 |
dc.language.iso.fl_str_mv |
por |
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por |
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info:eu-repo/semantics/openAccess |
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openAccess |
dc.publisher.none.fl_str_mv |
Instituto de Engenharia Nuclear |
dc.publisher.initials.fl_str_mv |
IEN |
dc.publisher.country.fl_str_mv |
Brasil |
publisher.none.fl_str_mv |
Instituto de Engenharia Nuclear |
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