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Article: Lattice electromagnetic theory from a topological viewpoint

TitleLattice electromagnetic theory from a topological viewpoint
Authors
Issue Date1999
PublisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/jmp/
Citation
Journal Of Mathematical Physics, 1999, v. 40 n. 1, p. 169-187 How to Cite?
AbstractThe language of differential forms and topological concepts are applied to study classical electromagnetic theory on a lattice. It is shown that differential forms and their discrete counterparts (cochains) provide a natural bridge between the continuum and the lattice versions of the theory, allowing for a natural factorization of the field equations into topological field equations (i.e., invariant under homeomorphisms) and metric field equations. The various potential sources of inconsistency in the discretization process are identified, distinguished, and discussed. A rationale for a consistent extension of the lattice theory to more general situations, such as to irregular lattices, is considered. © 1999 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/182623
ISSN
2015 Impact Factor: 1.234
2015 SCImago Journal Rankings: 0.767
References

 

DC FieldValueLanguage
dc.contributor.authorTeixeira, FLen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:09Z-
dc.date.available2013-05-02T05:16:09Z-
dc.date.issued1999en_US
dc.identifier.citationJournal Of Mathematical Physics, 1999, v. 40 n. 1, p. 169-187en_US
dc.identifier.issn0022-2488en_US
dc.identifier.urihttp://hdl.handle.net/10722/182623-
dc.description.abstractThe language of differential forms and topological concepts are applied to study classical electromagnetic theory on a lattice. It is shown that differential forms and their discrete counterparts (cochains) provide a natural bridge between the continuum and the lattice versions of the theory, allowing for a natural factorization of the field equations into topological field equations (i.e., invariant under homeomorphisms) and metric field equations. The various potential sources of inconsistency in the discretization process are identified, distinguished, and discussed. A rationale for a consistent extension of the lattice theory to more general situations, such as to irregular lattices, is considered. © 1999 American Institute of Physics.en_US
dc.languageengen_US
dc.publisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/jmp/en_US
dc.relation.ispartofJournal of Mathematical Physicsen_US
dc.titleLattice electromagnetic theory from a topological viewpointen_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0033481261en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0033481261&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume40en_US
dc.identifier.issue1en_US
dc.identifier.spage169en_US
dc.identifier.epage187en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridTeixeira, FL=7102746700en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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