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Conference Paper: Calculation of Sommerfeld Integrals for Modeling Vertical Dipole Array Antenna for Borehole Radar
Title | Calculation of Sommerfeld Integrals for Modeling Vertical Dipole Array Antenna for Borehole Radar |
---|---|
Authors | |
Keywords | Asymptotic Expansion Directional Borehole Radar Green's Function He11 Mode Mom Sommerfeld Integration Path Steepest Descent Path Tm01 Mode |
Issue Date | 2003 |
Publisher | Oxford 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? |
Abstract | This 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 Identifier | http://hdl.handle.net/10722/182968 |
ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.208 |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ebihara, S | en_US |
dc.contributor.author | Chew, WC | en_US |
dc.date.accessioned | 2013-05-02T05:17:54Z | - |
dc.date.available | 2013-05-02T05:17:54Z | - |
dc.date.issued | 2003 | en_US |
dc.identifier.citation | Ieice Transactions On Electronics, 2003, v. E86-C n. 10, p. 2085-2096 | en_US |
dc.identifier.issn | 0916-8524 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/182968 | - |
dc.description.abstract | This 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.language | eng | en_US |
dc.publisher | Oxford University Press. The Journal's web site is located at http://ietele.oxfordjournals.org/ | en_US |
dc.relation.ispartof | IEICE Transactions on Electronics | en_US |
dc.subject | Asymptotic Expansion | en_US |
dc.subject | Directional Borehole Radar | en_US |
dc.subject | Green's Function | en_US |
dc.subject | He11 Mode | en_US |
dc.subject | Mom | en_US |
dc.subject | Sommerfeld Integration Path | en_US |
dc.subject | Steepest Descent Path | en_US |
dc.subject | Tm01 Mode | en_US |
dc.title | Calculation of Sommerfeld Integrals for Modeling Vertical Dipole Array Antenna for Borehole Radar | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Chew, WC: wcchew@hku.hk | en_US |
dc.identifier.authority | Chew, WC=rp00656 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.scopus | eid_2-s2.0-0242495758 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0242495758&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | E86-C | en_US |
dc.identifier.issue | 10 | en_US |
dc.identifier.spage | 2085 | en_US |
dc.identifier.epage | 2096 | en_US |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Ebihara, S=36751811200 | en_US |
dc.identifier.scopusauthorid | Chew, WC=36014436300 | en_US |
dc.identifier.issnl | 0916-8524 | - |