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Conference Paper: Calculation of Sommerfeld Integrals for Modeling Vertical Dipole Array Antenna for Borehole Radar

TitleCalculation of Sommerfeld Integrals for Modeling Vertical Dipole Array Antenna for Borehole Radar
Authors
KeywordsAsymptotic Expansion
Directional Borehole Radar
Green's Function
He11 Mode
Mom
Sommerfeld Integration Path
Steepest Descent Path
Tm01 Mode
Issue Date2003
PublisherOxford University Press. The Journal's web site is located at http://ietele.oxfordjournals.org/
Citation
Ieice Transactions On Electronics, 2003, v. E86-C n. 10, p. 2085-2096 How to Cite?
AbstractThis paper describes a method for the fast evaluation of the Sommerfeld integrals for modeling a vertical dipole antenna array in a borehole. When we analyze the antenna inside a medium modeled by multiple cylindrical layers with the Method of Moment (MoM), we need a Green's function including the scattered field from the cylindrical boundaries. We focus on the calculation of Green's functions under the condition that both the detector and the source are situated in the innermost layer, since the Green's functions are used to form the impedance matrix of the antenna. Considering bounds on the location of singularities on a complex wave number plane, a fast convergent integration path where pole tracking is unnecessary is considered for numerical integration. Furthermore, as an approximation of the Sommerfeld integral, we describe an asymptotic expansion of the integrals along the branch cuts. The pole contribution of TM01 and HE11 modes are considered in the asymptotic expansion. To obtain numerical results, we use a fast convergent integration path that always proves to be accurate and efficient. The asymptotic expansion works well under specific conditions. The Sommerfeld integral values calculated with the fast evaluation method is used to model the array antenna in a borehole with the MoM. We compare the MoM data with experimental data, and we show the validity of the fast evaluation method.
Persistent Identifierhttp://hdl.handle.net/10722/182968
ISSN
2012 Impact Factor: 0.333
2015 SCImago Journal Rankings: 0.203
References

 

DC FieldValueLanguage
dc.contributor.authorEbihara, Sen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:17:54Z-
dc.date.available2013-05-02T05:17:54Z-
dc.date.issued2003en_US
dc.identifier.citationIeice Transactions On Electronics, 2003, v. E86-C n. 10, p. 2085-2096en_US
dc.identifier.issn0916-8524en_US
dc.identifier.urihttp://hdl.handle.net/10722/182968-
dc.description.abstractThis paper describes a method for the fast evaluation of the Sommerfeld integrals for modeling a vertical dipole antenna array in a borehole. When we analyze the antenna inside a medium modeled by multiple cylindrical layers with the Method of Moment (MoM), we need a Green's function including the scattered field from the cylindrical boundaries. We focus on the calculation of Green's functions under the condition that both the detector and the source are situated in the innermost layer, since the Green's functions are used to form the impedance matrix of the antenna. Considering bounds on the location of singularities on a complex wave number plane, a fast convergent integration path where pole tracking is unnecessary is considered for numerical integration. Furthermore, as an approximation of the Sommerfeld integral, we describe an asymptotic expansion of the integrals along the branch cuts. The pole contribution of TM01 and HE11 modes are considered in the asymptotic expansion. To obtain numerical results, we use a fast convergent integration path that always proves to be accurate and efficient. The asymptotic expansion works well under specific conditions. The Sommerfeld integral values calculated with the fast evaluation method is used to model the array antenna in a borehole with the MoM. We compare the MoM data with experimental data, and we show the validity of the fast evaluation method.en_US
dc.languageengen_US
dc.publisherOxford University Press. The Journal's web site is located at http://ietele.oxfordjournals.org/en_US
dc.relation.ispartofIEICE Transactions on Electronicsen_US
dc.subjectAsymptotic Expansionen_US
dc.subjectDirectional Borehole Radaren_US
dc.subjectGreen's Functionen_US
dc.subjectHe11 Modeen_US
dc.subjectMomen_US
dc.subjectSommerfeld Integration Pathen_US
dc.subjectSteepest Descent Pathen_US
dc.subjectTm01 Modeen_US
dc.titleCalculation of Sommerfeld Integrals for Modeling Vertical Dipole Array Antenna for Borehole Radaren_US
dc.typeConference_Paperen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0242495758en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0242495758&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volumeE86-Cen_US
dc.identifier.issue10en_US
dc.identifier.spage2085en_US
dc.identifier.epage2096en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridEbihara, S=36751811200en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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