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Article: Use of Huygen's equivalence principle for solving 3-D volume integral equation of scattering

TitleUse of Huygen's equivalence principle for solving 3-D volume integral equation of scattering
Authors
Issue Date1995
Citation
Ieee Transactions On Antennas And Propagation, 1995, v. 43 n. 5, p. 500-507 How to Cite?
AbstractA three-dimensional (3-D) version of the nested equivalent principle algorithm (NEPAL) is presented. In 3-D, a scatterer is first decomposed into N subscatterers. Then, spherical wave functions are used to represent the scattered field of the subscatterers. Subscatterers are divided into different levels of groups in a nested manner. For example, each group consists of eight subgroups, and each subgroup contains eight sub-subgroups, and so on. For each subgroup, the scattering solution is first solved and the number of subscatterers of the subgroup is then reduced by replacing the interior subscatterers with boundary subscatterers using Huygens' equivalence principle. As a result, when the subgroups are combined to form a higher level group, the group will have a smaller number of subscatterers. This process is repeated for each level, and in the last level, the number of subscatterers is proportional to that of boundary size of the scatterers. This algorithm has a computational complexity of O(N2) in three dimensions for all excitations and has the advantage of solving large scattering problems for multiple excitations. This is in contrast to Gaussian elimination which has a computational complexity of O(N3).
Persistent Identifierhttp://hdl.handle.net/10722/182555
ISSN
2015 Impact Factor: 2.053
2015 SCImago Journal Rankings: 2.130

 

DC FieldValueLanguage
dc.contributor.authorLu, CaiChengen_US
dc.contributor.authorChew, Weng Choen_US
dc.date.accessioned2013-05-02T05:15:51Z-
dc.date.available2013-05-02T05:15:51Z-
dc.date.issued1995en_US
dc.identifier.citationIeee Transactions On Antennas And Propagation, 1995, v. 43 n. 5, p. 500-507en_US
dc.identifier.issn0018-926Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/182555-
dc.description.abstractA three-dimensional (3-D) version of the nested equivalent principle algorithm (NEPAL) is presented. In 3-D, a scatterer is first decomposed into N subscatterers. Then, spherical wave functions are used to represent the scattered field of the subscatterers. Subscatterers are divided into different levels of groups in a nested manner. For example, each group consists of eight subgroups, and each subgroup contains eight sub-subgroups, and so on. For each subgroup, the scattering solution is first solved and the number of subscatterers of the subgroup is then reduced by replacing the interior subscatterers with boundary subscatterers using Huygens' equivalence principle. As a result, when the subgroups are combined to form a higher level group, the group will have a smaller number of subscatterers. This process is repeated for each level, and in the last level, the number of subscatterers is proportional to that of boundary size of the scatterers. This algorithm has a computational complexity of O(N2) in three dimensions for all excitations and has the advantage of solving large scattering problems for multiple excitations. This is in contrast to Gaussian elimination which has a computational complexity of O(N3).en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Antennas and Propagationen_US
dc.titleUse of Huygen's equivalence principle for solving 3-D volume integral equation of scatteringen_US
dc.typeArticleen_US
dc.identifier.emailChew, Weng Cho: wcchew@hku.hken_US
dc.identifier.authorityChew, Weng Cho=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/8.384194en_US
dc.identifier.scopuseid_2-s2.0-0029308011en_US
dc.identifier.volume43en_US
dc.identifier.issue5en_US
dc.identifier.spage500en_US
dc.identifier.epage507en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLu, CaiCheng=7404804587en_US
dc.identifier.scopusauthoridChew, Weng Cho=36014436300en_US

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