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Article: Analysis of low frequency scattering from penetrable scatterers

TitleAnalysis of low frequency scattering from penetrable scatterers
Authors
KeywordsConvergence
Curvilinear Patch
Loop-Tree Basis
Low-Frequency
Penetrable Scatterer
Issue Date2001
Citation
Ieee Transactions On Geoscience And Remote Sensing, 2001, v. 39 n. 4, p. 726-735 How to Cite?
AbstractIn this paper, we present a method for solving the surface integral equation using the method of moments (MoM) at very low frequencies, which finds applications in geoscience. The nature of the Helmholtz decomposition leads us to choose loop-tree basis functions to represent the surface current. Careful analysis of the frequency scaling property of each operator allows us to introduce a frequency normalization scheme to reduce the condition number of the MoM matrix. After frequency normalization, the MoM matrix can be solved using LU decomposition. The poor spectral properties of the matrix, however, makes it ill-suited for an iterative solver. A basis rearrangement is used to improve this property of the MoM matrix. The basis function rearrangement(BFR), which involves inverting the connection matrix, can be viewed as a pre-conditioner. The complexity of BFR is reduced to O(N), allowing this method to be combined with iterative solvers. Both rectilinear and curvilinear patches have been used in the simulations. The use of curvilinear patches reduces the number of unknowns significantly, thereby making the algorithm more efficient. This method is capable of solving Maxwell's equations from quasistatic to electrodynamic frequency range. This capability is of great importance in geophysical applications because the sizes of the simulated objects can range from a small fraction of a wavelength to several wavelengths.
Persistent Identifierhttp://hdl.handle.net/10722/182649
ISSN
2015 Impact Factor: 3.36
2015 SCImago Journal Rankings: 1.975
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChen, SYen_US
dc.contributor.authorWeng Cho Chewen_US
dc.contributor.authorSong, JMen_US
dc.contributor.authorZhao, JSen_US
dc.date.accessioned2013-05-02T05:16:16Z-
dc.date.available2013-05-02T05:16:16Z-
dc.date.issued2001en_US
dc.identifier.citationIeee Transactions On Geoscience And Remote Sensing, 2001, v. 39 n. 4, p. 726-735en_US
dc.identifier.issn0196-2892en_US
dc.identifier.urihttp://hdl.handle.net/10722/182649-
dc.description.abstractIn this paper, we present a method for solving the surface integral equation using the method of moments (MoM) at very low frequencies, which finds applications in geoscience. The nature of the Helmholtz decomposition leads us to choose loop-tree basis functions to represent the surface current. Careful analysis of the frequency scaling property of each operator allows us to introduce a frequency normalization scheme to reduce the condition number of the MoM matrix. After frequency normalization, the MoM matrix can be solved using LU decomposition. The poor spectral properties of the matrix, however, makes it ill-suited for an iterative solver. A basis rearrangement is used to improve this property of the MoM matrix. The basis function rearrangement(BFR), which involves inverting the connection matrix, can be viewed as a pre-conditioner. The complexity of BFR is reduced to O(N), allowing this method to be combined with iterative solvers. Both rectilinear and curvilinear patches have been used in the simulations. The use of curvilinear patches reduces the number of unknowns significantly, thereby making the algorithm more efficient. This method is capable of solving Maxwell's equations from quasistatic to electrodynamic frequency range. This capability is of great importance in geophysical applications because the sizes of the simulated objects can range from a small fraction of a wavelength to several wavelengths.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Geoscience and Remote Sensingen_US
dc.subjectConvergenceen_US
dc.subjectCurvilinear Patchen_US
dc.subjectLoop-Tree Basisen_US
dc.subjectLow-Frequencyen_US
dc.subjectPenetrable Scattereren_US
dc.titleAnalysis of low frequency scattering from penetrable scatterersen_US
dc.typeArticleen_US
dc.identifier.emailWeng Cho Chew: wcchew@hku.hken_US
dc.identifier.authorityWeng Cho Chew=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/36.917883en_US
dc.identifier.scopuseid_2-s2.0-0035305547en_US
dc.identifier.volume39en_US
dc.identifier.issue4en_US
dc.identifier.spage726en_US
dc.identifier.epage735en_US
dc.identifier.isiWOS:000168246200004-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChen, SY=7410257179en_US
dc.identifier.scopusauthoridWeng Cho Chew=36014436300en_US
dc.identifier.scopusauthoridSong, JM=7404788341en_US
dc.identifier.scopusauthoridZhao, JS=7410309451en_US

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