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- Publisher Website: 10.1109/TAP.2018.2872167
- Scopus: eid_2-s2.0-85054247989
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Article: A Wideband 2-D Fast Multipole Algorithm With a Novel Diagonalization Form
Title | A Wideband 2-D Fast Multipole Algorithm With a Novel Diagonalization Form |
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Authors | |
Keywords | Two dimensional displays Green's function methods Discrete Fourier transforms Electric breakdown Three-dimensional displays |
Issue Date | 2018 |
Publisher | IEEE. 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? |
Abstract | It 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 Identifier | http://hdl.handle.net/10722/278136 |
ISSN | 2023 Impact Factor: 4.6 2023 SCImago Journal Rankings: 1.794 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Meng, LL | - |
dc.contributor.author | Hidayetoglu, M | - |
dc.contributor.author | Xia, T | - |
dc.contributor.author | Sha, WEI | - |
dc.contributor.author | Jiang, LJ | - |
dc.contributor.author | Chew, WC | - |
dc.date.accessioned | 2019-10-04T08:08:12Z | - |
dc.date.available | 2019-10-04T08:08:12Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | IEEE Transactions on Antennas and Propagation, 2018, v. 66 n. 12, p. 7477-7482 | - |
dc.identifier.issn | 0018-926X | - |
dc.identifier.uri | http://hdl.handle.net/10722/278136 | - |
dc.description.abstract | It 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.language | eng | - |
dc.publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8 | - |
dc.relation.ispartof | IEEE Transactions on Antennas and Propagation | - |
dc.rights | IEEE 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.subject | Two dimensional displays | - |
dc.subject | Green's function methods | - |
dc.subject | Discrete Fourier transforms | - |
dc.subject | Electric breakdown | - |
dc.subject | Three-dimensional displays | - |
dc.title | A Wideband 2-D Fast Multipole Algorithm With a Novel Diagonalization Form | - |
dc.type | Article | - |
dc.identifier.email | Jiang, LJ: jianglj@hku.hk | - |
dc.identifier.authority | Jiang, LJ=rp01338 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/TAP.2018.2872167 | - |
dc.identifier.scopus | eid_2-s2.0-85054247989 | - |
dc.identifier.hkuros | 306181 | - |
dc.identifier.volume | 66 | - |
dc.identifier.issue | 12 | - |
dc.identifier.spage | 7477 | - |
dc.identifier.epage | 7482 | - |
dc.identifier.isi | WOS:000451994900093 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0018-926X | - |