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Article: Efficient MLFMA, RPFMA, and FAFFA algorithms for EM scattering by very large structures

TitleEfficient MLFMA, RPFMA, and FAFFA algorithms for EM scattering by very large structures
Authors
KeywordsElectromagnetic Scattering
Fast Far-Field Approximation (Faffa)
Method Of Moments
Multilevel Fast Multipole Algorithm
Multilevel Ray-Propagation Fast Multipole Algorithm
Issue Date2004
Citation
Ieee Transactions On Antennas And Propagation, 2004, v. 52 n. 3, p. 759-770 How to Cite?
AbstractBased on the addition theorem, the principle of a multilevel ray-propagation fast multiple algorithm (RPFMA) and fast far-field approximation (FAFFA) has been demonstrated for three-dimensional (3-D) electromagnetic scattering problems. From a rigorous mathematical derivation, the relation among RPFMA, FAFFA, and a conventional multilevel fast multipole algorithm (MLFMA) has been clearly stated. For very large-scale problems, the translation between groups in the conventional MLFMA is expensive because the translator is defined on an Ewald sphere with many sampling k̂ directions. When two groups as well separated, the translation can be simplified using RPFMA, where only a few sampling k̂ directions are required within a cone zone on the Ewald sphere. When two groups are in the far-field region, the translation can be further simplified by using FAFFA where only a single k̂ is involved in the translator along the ray-propagation direction. Combining RPFMA and FAFFA with MLFMA, three algorithms RPFMA-MLFMA, FAFFA-MLFMA, and RPFMA-FAFFA-MLFMA have been developed, which are more efficient than the conventional MLFMA in 3-D electromagnetic scattering and radiation for very large structures. Numerical results are given to verify the efficiency of the algorithms.
Persistent Identifierhttp://hdl.handle.net/10722/182706
ISSN
2015 Impact Factor: 2.053
2015 SCImago Journal Rankings: 2.130
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorCui, TJen_US
dc.contributor.authorChew, WCen_US
dc.contributor.authorChen, Gen_US
dc.contributor.authorSong, Jen_US
dc.date.accessioned2013-05-02T05:16:31Z-
dc.date.available2013-05-02T05:16:31Z-
dc.date.issued2004en_US
dc.identifier.citationIeee Transactions On Antennas And Propagation, 2004, v. 52 n. 3, p. 759-770en_US
dc.identifier.issn0018-926Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/182706-
dc.description.abstractBased on the addition theorem, the principle of a multilevel ray-propagation fast multiple algorithm (RPFMA) and fast far-field approximation (FAFFA) has been demonstrated for three-dimensional (3-D) electromagnetic scattering problems. From a rigorous mathematical derivation, the relation among RPFMA, FAFFA, and a conventional multilevel fast multipole algorithm (MLFMA) has been clearly stated. For very large-scale problems, the translation between groups in the conventional MLFMA is expensive because the translator is defined on an Ewald sphere with many sampling k̂ directions. When two groups as well separated, the translation can be simplified using RPFMA, where only a few sampling k̂ directions are required within a cone zone on the Ewald sphere. When two groups are in the far-field region, the translation can be further simplified by using FAFFA where only a single k̂ is involved in the translator along the ray-propagation direction. Combining RPFMA and FAFFA with MLFMA, three algorithms RPFMA-MLFMA, FAFFA-MLFMA, and RPFMA-FAFFA-MLFMA have been developed, which are more efficient than the conventional MLFMA in 3-D electromagnetic scattering and radiation for very large structures. Numerical results are given to verify the efficiency of the algorithms.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Antennas and Propagationen_US
dc.subjectElectromagnetic Scatteringen_US
dc.subjectFast Far-Field Approximation (Faffa)en_US
dc.subjectMethod Of Momentsen_US
dc.subjectMultilevel Fast Multipole Algorithmen_US
dc.subjectMultilevel Ray-Propagation Fast Multipole Algorithmen_US
dc.titleEfficient MLFMA, RPFMA, and FAFFA algorithms for EM scattering by very large structuresen_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.doi10.1109/TAP.2004.825491en_US
dc.identifier.scopuseid_2-s2.0-1642288360en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-1642288360&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume52en_US
dc.identifier.issue3en_US
dc.identifier.spage759en_US
dc.identifier.epage770en_US
dc.identifier.isiWOS:000220944700014-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridCui, TJ=7103095470en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US
dc.identifier.scopusauthoridChen, G=15845211900en_US
dc.identifier.scopusauthoridSong, J=7404788341en_US

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