A scheme to analyze conducting plates of resonant size using the conjugate-gradient method and the fast Fourier transform
A scheme for analyzing electrodynamic problems involving conducting plates of resonant size using the conjugate-gradient (CG) method and the fast Fourier transform (FFT) is presented in detail. The problems are analyzed by solving their corresponding electric-field integral equation. The procedure i...
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| Veröffentlicht in: | IEEE transactions on antennas and propagation 1988-12, Vol.36 (12), p.1744-1752 |
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| container_end_page | 1752 |
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| container_issue | 12 |
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| container_title | IEEE transactions on antennas and propagation |
| container_volume | 36 |
| creator | Catedra, M.F. Cuevas, J.G. Nuno, L. |
| description | A scheme for analyzing electrodynamic problems involving conducting plates of resonant size using the conjugate-gradient (CG) method and the fast Fourier transform (FFT) is presented in detail. The problems are analyzed by solving their corresponding electric-field integral equation. The procedure is made easy and systematic by using a sampling process with rooftop functions to represent the induced current and pulses to average the fields. These functions have been widely used in moment-method (MM) applications. The scheme is an efficient numerical tool, benefiting from the good convergence and low memory requirements of the CG and the low CPU time consumed in performing convolutions with the FFT. In comparison with the MM, the scheme avoids the storage of large matrices and reduces the computer time by an order of magnitude. Several results are presented and compared with analytical, numerical, or measured values that appear in the literature.< > |
| doi_str_mv | 10.1109/8.14396 |
| format | Article |
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The problems are analyzed by solving their corresponding electric-field integral equation. The procedure is made easy and systematic by using a sampling process with rooftop functions to represent the induced current and pulses to average the fields. These functions have been widely used in moment-method (MM) applications. The scheme is an efficient numerical tool, benefiting from the good convergence and low memory requirements of the CG and the low CPU time consumed in performing convolutions with the FFT. In comparison with the MM, the scheme avoids the storage of large matrices and reduces the computer time by an order of magnitude. 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The problems are analyzed by solving their corresponding electric-field integral equation. The procedure is made easy and systematic by using a sampling process with rooftop functions to represent the induced current and pulses to average the fields. These functions have been widely used in moment-method (MM) applications. The scheme is an efficient numerical tool, benefiting from the good convergence and low memory requirements of the CG and the low CPU time consumed in performing convolutions with the FFT. In comparison with the MM, the scheme avoids the storage of large matrices and reduces the computer time by an order of magnitude. Several results are presented and compared with analytical, numerical, or measured values that appear in the literature.< ></description><subject>Antennas</subject><subject>Applied sciences</subject><subject>Central Processing Unit</subject><subject>Character generation</subject><subject>Electrodynamics</subject><subject>Exact sciences and technology</subject><subject>Fast Fourier transforms</subject><subject>Geometry</subject><subject>Gradient methods</subject><subject>Integral equations</subject><subject>Iterative methods</subject><subject>Moment methods</subject><subject>Radiocommunications</subject><subject>Resonance</subject><subject>Telecommunications</subject><subject>Telecommunications and information theory</subject><issn>0018-926X</issn><issn>1558-2221</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1988</creationdate><recordtype>article</recordtype><recordid>eNqF0U1r3DAQgGFRUujmg55706GkJyf6si0dQ0iaQqCXFHIzY3m862BbW4182P76aHdDcuxpEPPwghjGvkpxJaVw1_ZKGu2qT2wly9IWSil5wlZCSFs4VT1_YadEL_lprDErtrvh5Dc4IU-Bwwzj7h9yH-Zu8WmY13w7QkLioecRKcwwJ05DJgvtt2lzwC_LOqtiHaEbMIsJ0yZ0OdcdRA-U-H1Y4oCRpwgz9SFO5-xzDyPhxds8Y3_u755uH4rH3z9_3d48Fl5rkQqtyrYW2HpA5a1ynfUCKqdkK7SwRoraWXA9Sl2DwarS4IR1WHWd8KZuW33GLo_dbQx_F6TUTAN5HEeYMSzUKFtaZZT5PzTOVbbUGf44Qh8DUcS-2cZhgrhrpGj2N2hsc7hBlt_fkkAexj7_3Q_0znOtFnYf_HZkAyJ-xA6JV2A5jyQ</recordid><startdate>19881201</startdate><enddate>19881201</enddate><creator>Catedra, M.F.</creator><creator>Cuevas, J.G.</creator><creator>Nuno, L.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>7SP</scope></search><sort><creationdate>19881201</creationdate><title>A scheme to analyze conducting plates of resonant size using the conjugate-gradient method and the fast Fourier transform</title><author>Catedra, M.F. ; Cuevas, J.G. ; Nuno, L.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c330t-325b70ebcae2c829d8c0a6921b0308410798a9fe137a4e663a9089e6dd0c47bb3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1988</creationdate><topic>Antennas</topic><topic>Applied sciences</topic><topic>Central Processing Unit</topic><topic>Character generation</topic><topic>Electrodynamics</topic><topic>Exact sciences and technology</topic><topic>Fast Fourier transforms</topic><topic>Geometry</topic><topic>Gradient methods</topic><topic>Integral equations</topic><topic>Iterative methods</topic><topic>Moment methods</topic><topic>Radiocommunications</topic><topic>Resonance</topic><topic>Telecommunications</topic><topic>Telecommunications and information theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Catedra, M.F.</creatorcontrib><creatorcontrib>Cuevas, J.G.</creatorcontrib><creatorcontrib>Nuno, L.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Electronics & Communications Abstracts</collection><jtitle>IEEE transactions on antennas and propagation</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Catedra, M.F.</au><au>Cuevas, J.G.</au><au>Nuno, L.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A scheme to analyze conducting plates of resonant size using the conjugate-gradient method and the fast Fourier transform</atitle><jtitle>IEEE transactions on antennas and propagation</jtitle><stitle>TAP</stitle><date>1988-12-01</date><risdate>1988</risdate><volume>36</volume><issue>12</issue><spage>1744</spage><epage>1752</epage><pages>1744-1752</pages><issn>0018-926X</issn><eissn>1558-2221</eissn><coden>IETPAK</coden><abstract>A scheme for analyzing electrodynamic problems involving conducting plates of resonant size using the conjugate-gradient (CG) method and the fast Fourier transform (FFT) is presented in detail. The problems are analyzed by solving their corresponding electric-field integral equation. The procedure is made easy and systematic by using a sampling process with rooftop functions to represent the induced current and pulses to average the fields. These functions have been widely used in moment-method (MM) applications. The scheme is an efficient numerical tool, benefiting from the good convergence and low memory requirements of the CG and the low CPU time consumed in performing convolutions with the FFT. In comparison with the MM, the scheme avoids the storage of large matrices and reduces the computer time by an order of magnitude. Several results are presented and compared with analytical, numerical, or measured values that appear in the literature.< ></abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/8.14396</doi><tpages>9</tpages></addata></record> |
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| ispartof | IEEE transactions on antennas and propagation, 1988-12, Vol.36 (12), p.1744-1752 |
| issn | 0018-926X 1558-2221 |
| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Antennas Applied sciences Central Processing Unit Character generation Electrodynamics Exact sciences and technology Fast Fourier transforms Geometry Gradient methods Integral equations Iterative methods Moment methods Radiocommunications Resonance Telecommunications Telecommunications and information theory |
| title | A scheme to analyze conducting plates of resonant size using the conjugate-gradient method and the fast Fourier transform |
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