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- Publisher Website: 10.1098/rsta.2003.1336
- Scopus: eid_2-s2.0-1642263480
- PMID: 15306509
- WOS: WOS:000220407200009
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Article: Computational electromagnetics: The physics of smooth versus oscillatory fields
Title | Computational electromagnetics: The physics of smooth versus oscillatory fields |
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Authors | |
Keywords | Electromagnetics Fast multipole method Helmholtz problem Integral equation Laplace problem Parallelization |
Issue Date | 2004 |
Publisher | The 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? |
Abstract | This 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 Identifier | http://hdl.handle.net/10722/182705 |
ISSN | 2023 Impact Factor: 4.3 2023 SCImago Journal Rankings: 0.870 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Chew, WC | en_US |
dc.date.accessioned | 2013-05-02T05:16:31Z | - |
dc.date.available | 2013-05-02T05:16:31Z | - |
dc.date.issued | 2004 | en_US |
dc.identifier.citation | Philosophical Transactions Of The Royal Society A: Mathematical, Physical And Engineering Sciences, 2004, v. 362 n. 1816, p. 579-602 | en_US |
dc.identifier.issn | 1364-503X | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/182705 | - |
dc.description.abstract | This 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.language | eng | en_US |
dc.publisher | The Royal Society. The Journal's web site is located at http://rsta.royalsocietypublishing.org | en_US |
dc.relation.ispartof | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences | en_US |
dc.subject | Electromagnetics | - |
dc.subject | Fast multipole method | - |
dc.subject | Helmholtz problem | - |
dc.subject | Integral equation | - |
dc.subject | Laplace problem | - |
dc.subject | Parallelization | - |
dc.title | Computational electromagnetics: The physics of smooth versus oscillatory fields | en_US |
dc.type | Article | en_US |
dc.identifier.email | Chew, WC: wcchew@hku.hk | en_US |
dc.identifier.authority | Chew, WC=rp00656 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1098/rsta.2003.1336 | en_US |
dc.identifier.pmid | 15306509 | - |
dc.identifier.scopus | eid_2-s2.0-1642263480 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-1642263480&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 362 | en_US |
dc.identifier.issue | 1816 | en_US |
dc.identifier.spage | 579 | en_US |
dc.identifier.epage | 602 | en_US |
dc.identifier.isi | WOS:000220407200009 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Chew, WC=36014436300 | en_US |
dc.identifier.issnl | 1364-503X | - |