Minkowskian isotropic media and the perfect electromagnetic conductor
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://ciencia.iscte-iul.pt/public/pub/id/6941 http://hdl.handle.net/10071/9951 |
Resumo: | The perfect electromagnetic conductor (PEMC) was introduced as an observer-independent "axion medium" that generalizes the concepts of perfect electric conductor (PEC) and perfect magnetic conductor (PMC). Following the original boundary definition, its 3-D medium definition corresponds to a 4-D representation that is, actually, observer-dependent (i.e., it is not isotropic for the whole class of inertial observers), leading to a nonunique characterization of the electromagnetic field inside. This characterization of the PEMC, then, violates the boundary conditions-unless some extraneous waves, called "metafields," are surgically extracted from the final solution. In this paper, using spacetime algebra, we define the PEMC as the unique limit of the most general class of isotropic media in Minkowskian spacetime, which we call Minkowskian isotropic media (MIM). An MIM is actually a "dilaton-axion medium." Its isotropy is a Lorentz invariant characterization: It is an observer-independent property, contrary to isotropy in 3-D Gibbsian characterization. Hence, a more natural definition of a PEMC is herein presented: It leads to a unique electromagnetic field in its interior; it corresponds, though, to the same original boundary definition. This new approach is applied to the analysis of an air-MIM interface that, as a particular case, reduces to an air-PEMC interface. |
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Minkowskian isotropic media and the perfect electromagnetic conductorBianisotropic mediaElectromagnetic propagationGeometric algebraLorentz covarianceLorentz invariancePerfect electromagnetic conductor (PEMC)Special relativityThe perfect electromagnetic conductor (PEMC) was introduced as an observer-independent "axion medium" that generalizes the concepts of perfect electric conductor (PEC) and perfect magnetic conductor (PMC). Following the original boundary definition, its 3-D medium definition corresponds to a 4-D representation that is, actually, observer-dependent (i.e., it is not isotropic for the whole class of inertial observers), leading to a nonunique characterization of the electromagnetic field inside. This characterization of the PEMC, then, violates the boundary conditions-unless some extraneous waves, called "metafields," are surgically extracted from the final solution. In this paper, using spacetime algebra, we define the PEMC as the unique limit of the most general class of isotropic media in Minkowskian spacetime, which we call Minkowskian isotropic media (MIM). An MIM is actually a "dilaton-axion medium." Its isotropy is a Lorentz invariant characterization: It is an observer-independent property, contrary to isotropy in 3-D Gibbsian characterization. Hence, a more natural definition of a PEMC is herein presented: It leads to a unique electromagnetic field in its interior; it corresponds, though, to the same original boundary definition. This new approach is applied to the analysis of an air-MIM interface that, as a particular case, reduces to an air-PEMC interface.IEEE - Institute of electrical electronics and engineers2015-10-08T13:22:38Z2012-01-01T00:00:00Z20122015-10-08T13:20:40Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://ciencia.iscte-iul.pt/public/pub/id/6941http://hdl.handle.net/10071/9951eng0018-926XPaiva, C.Matos, S.info:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-09T17:29:17Zoai:repositorio.iscte-iul.pt:10071/9951Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:13:05.174765Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Minkowskian isotropic media and the perfect electromagnetic conductor |
title |
Minkowskian isotropic media and the perfect electromagnetic conductor |
spellingShingle |
Minkowskian isotropic media and the perfect electromagnetic conductor Paiva, C. Bianisotropic media Electromagnetic propagation Geometric algebra Lorentz covariance Lorentz invariance Perfect electromagnetic conductor (PEMC) Special relativity |
title_short |
Minkowskian isotropic media and the perfect electromagnetic conductor |
title_full |
Minkowskian isotropic media and the perfect electromagnetic conductor |
title_fullStr |
Minkowskian isotropic media and the perfect electromagnetic conductor |
title_full_unstemmed |
Minkowskian isotropic media and the perfect electromagnetic conductor |
title_sort |
Minkowskian isotropic media and the perfect electromagnetic conductor |
author |
Paiva, C. |
author_facet |
Paiva, C. Matos, S. |
author_role |
author |
author2 |
Matos, S. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Paiva, C. Matos, S. |
dc.subject.por.fl_str_mv |
Bianisotropic media Electromagnetic propagation Geometric algebra Lorentz covariance Lorentz invariance Perfect electromagnetic conductor (PEMC) Special relativity |
topic |
Bianisotropic media Electromagnetic propagation Geometric algebra Lorentz covariance Lorentz invariance Perfect electromagnetic conductor (PEMC) Special relativity |
description |
The perfect electromagnetic conductor (PEMC) was introduced as an observer-independent "axion medium" that generalizes the concepts of perfect electric conductor (PEC) and perfect magnetic conductor (PMC). Following the original boundary definition, its 3-D medium definition corresponds to a 4-D representation that is, actually, observer-dependent (i.e., it is not isotropic for the whole class of inertial observers), leading to a nonunique characterization of the electromagnetic field inside. This characterization of the PEMC, then, violates the boundary conditions-unless some extraneous waves, called "metafields," are surgically extracted from the final solution. In this paper, using spacetime algebra, we define the PEMC as the unique limit of the most general class of isotropic media in Minkowskian spacetime, which we call Minkowskian isotropic media (MIM). An MIM is actually a "dilaton-axion medium." Its isotropy is a Lorentz invariant characterization: It is an observer-independent property, contrary to isotropy in 3-D Gibbsian characterization. Hence, a more natural definition of a PEMC is herein presented: It leads to a unique electromagnetic field in its interior; it corresponds, though, to the same original boundary definition. This new approach is applied to the analysis of an air-MIM interface that, as a particular case, reduces to an air-PEMC interface. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-01-01T00:00:00Z 2012 2015-10-08T13:22:38Z 2015-10-08T13:20:40Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://ciencia.iscte-iul.pt/public/pub/id/6941 http://hdl.handle.net/10071/9951 |
url |
https://ciencia.iscte-iul.pt/public/pub/id/6941 http://hdl.handle.net/10071/9951 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0018-926X |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/embargoedAccess |
eu_rights_str_mv |
embargoedAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
IEEE - Institute of electrical electronics and engineers |
publisher.none.fl_str_mv |
IEEE - Institute of electrical electronics and engineers |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799134686741528576 |