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- Publisher Website: 10.1109/TAP.2006.888453
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Article: Wave-field interaction with complex structures using equivalence principle algorithm
Title | Wave-field interaction with complex structures using equivalence principle algorithm |
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Authors | |
Keywords | Domain Decomposition Equivalence Principle Integral Equation Integral Equation Solvers Junction Basis Method Of Moments (Mom) Tap Basis |
Issue Date | 2007 |
Citation | Ieee Transactions On Antennas And Propagation, 2007, v. 55 n. 1, p. 130-138 How to Cite? |
Abstract | A domain decomposition scheme based on the equivalence principle, similar to Huygens' principle, for integral equation solvers and the method of moments is introduced. The equivalence principle allows the replacement of unknown currents distributed in a volume in space by equivalence currents residing on the surface that bounds the volume. It also allows the dissociation of the solution of one region from that of another region. In this manner, problems of high complexity can be encapsulated by surfaces of simpler shapes using less unknowns. It can aid in parallel algorithms, reusability of solutions, as well as improving the condition number of a matrix system when disparate mesh or adaptive mesh are needed. The challenge arises when an equivalence surface intercepts a current-carrying conductor, because the breakup of the current into separate pieces gives rise to charge singularity. A junction basis can be used to mitigate this singularity. However, a better solution is to introduce a tap basis to model the current that intercepts with the equivalence surfaces. Using this scheme, the current continuity is conserved and the singularity of the charges is avoided. The solution is shown to be accurate. © 2007 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/182730 |
ISSN | 2023 Impact Factor: 4.6 2023 SCImago Journal Rankings: 1.794 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Li, MK | en_US |
dc.contributor.author | Chew, WC | en_US |
dc.date.accessioned | 2013-05-02T05:16:37Z | - |
dc.date.available | 2013-05-02T05:16:37Z | - |
dc.date.issued | 2007 | en_US |
dc.identifier.citation | Ieee Transactions On Antennas And Propagation, 2007, v. 55 n. 1, p. 130-138 | en_US |
dc.identifier.issn | 0018-926X | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/182730 | - |
dc.description.abstract | A domain decomposition scheme based on the equivalence principle, similar to Huygens' principle, for integral equation solvers and the method of moments is introduced. The equivalence principle allows the replacement of unknown currents distributed in a volume in space by equivalence currents residing on the surface that bounds the volume. It also allows the dissociation of the solution of one region from that of another region. In this manner, problems of high complexity can be encapsulated by surfaces of simpler shapes using less unknowns. It can aid in parallel algorithms, reusability of solutions, as well as improving the condition number of a matrix system when disparate mesh or adaptive mesh are needed. The challenge arises when an equivalence surface intercepts a current-carrying conductor, because the breakup of the current into separate pieces gives rise to charge singularity. A junction basis can be used to mitigate this singularity. However, a better solution is to introduce a tap basis to model the current that intercepts with the equivalence surfaces. Using this scheme, the current continuity is conserved and the singularity of the charges is avoided. The solution is shown to be accurate. © 2007 IEEE. | en_US |
dc.language | eng | en_US |
dc.relation.ispartof | IEEE Transactions on Antennas and Propagation | en_US |
dc.subject | Domain Decomposition | en_US |
dc.subject | Equivalence Principle | en_US |
dc.subject | Integral Equation | en_US |
dc.subject | Integral Equation Solvers | en_US |
dc.subject | Junction Basis | en_US |
dc.subject | Method Of Moments (Mom) | en_US |
dc.subject | Tap Basis | en_US |
dc.title | Wave-field interaction with complex structures using equivalence principle algorithm | 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 | 10.1109/TAP.2006.888453 | en_US |
dc.identifier.scopus | eid_2-s2.0-33846909527 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-33846909527&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 55 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.spage | 130 | en_US |
dc.identifier.epage | 138 | en_US |
dc.identifier.isi | WOS:000243547300018 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Li, MK=7405263889 | en_US |
dc.identifier.scopusauthorid | Chew, WC=36014436300 | en_US |
dc.identifier.issnl | 0018-926X | - |