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Article: Electromagnetic theory on a lattice

TitleElectromagnetic theory on a lattice
Authors
Issue Date1994
PublisherAmerican Institute of Physics. The Journal's web site is located at http://jap.aip.org/jap/staff.jsp
Citation
Journal Of Applied Physics, 1994, v. 75 n. 10, p. 4843-4850 How to Cite?
AbstractA self-contained electromagnetic theory is derived on a regular lattice. The discretized form of integral and differential calculus, which is called discrete calculus, is used to describe this theory. It is shown that discrete forms of Gauss' theorem, Stokes' theorem, Green's theorem, and Huygens' principle can be derived. Moreover, many electromagnetic theorems can also be derived in this discretized world, for example, reciprocity theorem, uniqueness theorem, and Poynting's theorem. The preservation of these theorems and the conservation of charge imply that the use of this discretized form of Maxwell's equations for numerical simulation will not give rise to spurious solutions due to spurious charges.
Persistent Identifierhttp://hdl.handle.net/10722/182437
ISSN
2015 Impact Factor: 2.101
2015 SCImago Journal Rankings: 0.603
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:15:20Z-
dc.date.available2013-05-02T05:15:20Z-
dc.date.issued1994en_US
dc.identifier.citationJournal Of Applied Physics, 1994, v. 75 n. 10, p. 4843-4850en_US
dc.identifier.issn0021-8979en_US
dc.identifier.urihttp://hdl.handle.net/10722/182437-
dc.description.abstractA self-contained electromagnetic theory is derived on a regular lattice. The discretized form of integral and differential calculus, which is called discrete calculus, is used to describe this theory. It is shown that discrete forms of Gauss' theorem, Stokes' theorem, Green's theorem, and Huygens' principle can be derived. Moreover, many electromagnetic theorems can also be derived in this discretized world, for example, reciprocity theorem, uniqueness theorem, and Poynting's theorem. The preservation of these theorems and the conservation of charge imply that the use of this discretized form of Maxwell's equations for numerical simulation will not give rise to spurious solutions due to spurious charges.en_US
dc.languageengen_US
dc.publisherAmerican Institute of Physics. The Journal's web site is located at http://jap.aip.org/jap/staff.jspen_US
dc.relation.ispartofJournal of Applied Physicsen_US
dc.titleElectromagnetic theory on a latticeen_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.doi10.1063/1.355770en_US
dc.identifier.scopuseid_2-s2.0-0000544197en_US
dc.identifier.volume75en_US
dc.identifier.issue10en_US
dc.identifier.spage4843en_US
dc.identifier.epage4850en_US
dc.identifier.isiWOS:A1994NN73200002-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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