A New Approximate Closed Solution for Small Dipole Antenna with Method of Moments
In this paper, an approximate closed-form solution of the impedance coefficient for a small dipole using the method of moments is developed from the reduced or approximate Pocklington equation. As an application, the close-form self-impedance coefficient using the piecewise constant and linear basis...
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Veröffentlicht in: | Revista IEEE América Latina 2016-04, Vol.14 (4), p.1562-1569 |
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description | In this paper, an approximate closed-form solution of the impedance coefficient for a small dipole using the method of moments is developed from the reduced or approximate Pocklington equation. As an application, the close-form self-impedance coefficient using the piecewise constant and linear basis functions are found, with well-defined rounding error functions. The authors found that the self-impedance using the piecewise constant basis function is inconsistent with the physics of the problem for segments close to wavelength tenths and arbitrary small wire diameters, independent of the reduced kernel approximation and the printed source model used. |
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As an application, the close-form self-impedance coefficient using the piecewise constant and linear basis functions are found, with well-defined rounding error functions. The authors found that the self-impedance using the piecewise constant basis function is inconsistent with the physics of the problem for segments close to wavelength tenths and arbitrary small wire diameters, independent of the reduced kernel approximation and the printed source model used.</description><identifier>ISSN: 1548-0992</identifier><identifier>EISSN: 1548-0992</identifier><identifier>DOI: 10.1109/TLA.2016.7483483</identifier><language>eng</language><publisher>Los Alamitos: IEEE</publisher><subject>Approximation ; Basis functions ; Benchmark testing ; Coefficients ; Constants ; Dipole Antenna ; Dipole antennas ; Impedance ; Kernel ; Mathematical analysis ; Mathematical model ; Mathematical models ; Method of moments ; Pocklington Equation ; Silicon compounds ; Wire</subject><ispartof>Revista IEEE América Latina, 2016-04, Vol.14 (4), p.1562-1569</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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The authors found that the self-impedance using the piecewise constant basis function is inconsistent with the physics of the problem for segments close to wavelength tenths and arbitrary small wire diameters, independent of the reduced kernel approximation and the printed source model used.</description><subject>Approximation</subject><subject>Basis functions</subject><subject>Benchmark testing</subject><subject>Coefficients</subject><subject>Constants</subject><subject>Dipole Antenna</subject><subject>Dipole antennas</subject><subject>Impedance</subject><subject>Kernel</subject><subject>Mathematical analysis</subject><subject>Mathematical model</subject><subject>Mathematical models</subject><subject>Method of moments</subject><subject>Pocklington Equation</subject><subject>Silicon compounds</subject><subject>Wire</subject><issn>1548-0992</issn><issn>1548-0992</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkEtLAzEQgIMoWKt3wUvAi5etyT6yyXGpT2gVaT2H7GZCt-xu6iZL9d-b0ioiDMzAfPPgQ-iSkgmlRNwuZ8UkJpRN8pQnIY7QiGYpj4gQ8fGf-hSdObcmJOGMJyP0VuAX2OJis-ntZ90qD3jaWAcaL2wz-Np22NgeL1rVNPiu3tgGcNF56DqFt7Vf4Tn4ldXYGjy3LXTenaMToxoHF4c8Ru8P98vpUzR7fXyeFrOoirPUR4YRXWphMpOWIlcGUlMqRohQPCahYCxJqQKVxizWQCod67LkJVOQaFpymozRzX5v-PxjAOdlW7sKmkZ1YAcnKQ93uKA5D-j1P3Rth74L30maiyTJGRVZoMieqnrrXA9GbvpgpP-SlMidYxkcy51jeXAcRq72IzUA_OI_3W8DUHdR</recordid><startdate>20160401</startdate><enddate>20160401</enddate><creator>Paez Rueda, Carlos Ivan</creator><creator>Bustamante Miller, Roberto</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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subjects | Approximation Basis functions Benchmark testing Coefficients Constants Dipole Antenna Dipole antennas Impedance Kernel Mathematical analysis Mathematical model Mathematical models Method of moments Pocklington Equation Silicon compounds Wire |
title | A New Approximate Closed Solution for Small Dipole Antenna with Method of Moments |
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