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Article: Computational electromagnetics: The physics of smooth versus oscillatory fields

TitleComputational electromagnetics: The physics of smooth versus oscillatory fields
Authors
Issue Date2004
PublisherThe Royal Society. The Journal's web site is located at http://rsta.royalsocietypublishing.org
Citation
Philosophical Transactions Of The Royal Society A: Mathematical, Physical And Engineering Sciences, 2004, v. 362 n. 1816, p. 579-602 How to Cite?
AbstractThis paper starts by discussing the difference in the physics between solutions to Laplace's equation (static) and Maxwell's equations for dynamic problems (Helmholtz equation). Their differing physical characters are illustrated by how the two fields convey information away from their source point. The paper elucidates the fact that their differing physical characters affect the use of Laplacian field and Helmholtz field in imaging. They also affect the design of fast computational algorithms for electromagnetic scattering problems. Specifically, a comparison is made between fast algorithms developed using wavelets, the simple fast multipole method, and the multi-level fast multipole algorithm for electrodynamics. The impact of the physical characters of the dynamic field on the parallelization of the multi-level fast multipole algorithm is also discussed. The relationship of diagonalization of translators to group theory is presented. Finally, future areas of research for computational electromagnetics are described.
Persistent Identifierhttp://hdl.handle.net/10722/182705
ISSN
2015 Impact Factor: 2.441
2015 SCImago Journal Rankings: 0.800
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:31Z-
dc.date.available2013-05-02T05:16:31Z-
dc.date.issued2004en_US
dc.identifier.citationPhilosophical Transactions Of The Royal Society A: Mathematical, Physical And Engineering Sciences, 2004, v. 362 n. 1816, p. 579-602en_US
dc.identifier.issn1364-503Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/182705-
dc.description.abstractThis paper starts by discussing the difference in the physics between solutions to Laplace's equation (static) and Maxwell's equations for dynamic problems (Helmholtz equation). Their differing physical characters are illustrated by how the two fields convey information away from their source point. The paper elucidates the fact that their differing physical characters affect the use of Laplacian field and Helmholtz field in imaging. They also affect the design of fast computational algorithms for electromagnetic scattering problems. Specifically, a comparison is made between fast algorithms developed using wavelets, the simple fast multipole method, and the multi-level fast multipole algorithm for electrodynamics. The impact of the physical characters of the dynamic field on the parallelization of the multi-level fast multipole algorithm is also discussed. The relationship of diagonalization of translators to group theory is presented. Finally, future areas of research for computational electromagnetics are described.en_US
dc.languageengen_US
dc.publisherThe Royal Society. The Journal's web site is located at http://rsta.royalsocietypublishing.orgen_US
dc.relation.ispartofPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciencesen_US
dc.titleComputational electromagnetics: The physics of smooth versus oscillatory fieldsen_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.doi10.1098/rsta.2003.1336en_US
dc.identifier.pmid15306509-
dc.identifier.scopuseid_2-s2.0-1642263480en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-1642263480&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume362en_US
dc.identifier.issue1816en_US
dc.identifier.spage579en_US
dc.identifier.epage602en_US
dc.identifier.isiWOS:000220407200009-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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