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Article: A Wideband 2-D Fast Multipole Algorithm With a Novel Diagonalization Form

TitleA Wideband 2-D Fast Multipole Algorithm With a Novel Diagonalization Form
Authors
KeywordsTwo dimensional displays
Green's function methods
Discrete Fourier transforms
Electric breakdown
Three-dimensional displays
Issue Date2018
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8
Citation
IEEE Transactions on Antennas and Propagation, 2018, v. 66 n. 12, p. 7477-7482 How to Cite?
AbstractIt is well known that Green's function can be expressed by multipole expansion, plane-wave expansion, and exponential expansion (spectral representation). These three expansions constitute of the foundations of the fast multipole algorithm (FMA). The plane-wave expansion has the low-frequency breakdown issue due to its failure in capturing the evanescent spectra, while the multipole expansion is inefficient at high frequencies. The spectral representation usually involves in direction-dependent issue. In this communication, the 2-D FMA is interpreted as Parseval's theorem in Fourier transform. To achieve a stable and accurate transition between the multipole expansion and the plane-wave expansion, a novel diagonalization in the 2-D FMA is proposed with scaled special functions based on a discrete Fourier transform. A wideband fast algorithm with high accuracies can be achieved efficiently.
Persistent Identifierhttp://hdl.handle.net/10722/278136
ISSN
2017 Impact Factor: 4.13
2015 SCImago Journal Rankings: 2.130

 

DC FieldValueLanguage
dc.contributor.authorMeng, LL-
dc.contributor.authorHidayetoglu, M-
dc.contributor.authorXia, T-
dc.contributor.authorSha, WEI-
dc.contributor.authorJiang, LJ-
dc.contributor.authorChew, WC-
dc.date.accessioned2019-10-04T08:08:12Z-
dc.date.available2019-10-04T08:08:12Z-
dc.date.issued2018-
dc.identifier.citationIEEE Transactions on Antennas and Propagation, 2018, v. 66 n. 12, p. 7477-7482-
dc.identifier.issn0018-926X-
dc.identifier.urihttp://hdl.handle.net/10722/278136-
dc.description.abstractIt is well known that Green's function can be expressed by multipole expansion, plane-wave expansion, and exponential expansion (spectral representation). These three expansions constitute of the foundations of the fast multipole algorithm (FMA). The plane-wave expansion has the low-frequency breakdown issue due to its failure in capturing the evanescent spectra, while the multipole expansion is inefficient at high frequencies. The spectral representation usually involves in direction-dependent issue. In this communication, the 2-D FMA is interpreted as Parseval's theorem in Fourier transform. To achieve a stable and accurate transition between the multipole expansion and the plane-wave expansion, a novel diagonalization in the 2-D FMA is proposed with scaled special functions based on a discrete Fourier transform. A wideband fast algorithm with high accuracies can be achieved efficiently.-
dc.languageeng-
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8-
dc.relation.ispartofIEEE Transactions on Antennas and Propagation-
dc.rightsIEEE Transactions on Antennas and Propagation. Copyright © IEEE.-
dc.rights©20xx IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.-
dc.subjectTwo dimensional displays-
dc.subjectGreen's function methods-
dc.subjectDiscrete Fourier transforms-
dc.subjectElectric breakdown-
dc.subjectThree-dimensional displays-
dc.titleA Wideband 2-D Fast Multipole Algorithm With a Novel Diagonalization Form-
dc.typeArticle-
dc.identifier.emailJiang, LJ: jianglj@hku.hk-
dc.identifier.authorityJiang, LJ=rp01338-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1109/TAP.2018.2872167-
dc.identifier.scopuseid_2-s2.0-85054247989-
dc.identifier.hkuros306181-
dc.identifier.volume66-
dc.identifier.issue12-
dc.identifier.spage7477-
dc.identifier.epage7482-
dc.publisher.placeUnited States-

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