The Resonance Mode Theory for Exterior Problems of Electrodynamics and Its Application to Discrete Antenna Modeling in a Frequency Range
The problem under consideration here is that of building a versatile discrete antenna model in a frequency range. The eigenfunction (mode) expansion or singularity expansion method (SEM) is used in working out the problem. A detailed substantiation of SEM is provided and an expression determining th...
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| Veröffentlicht in: | IEEE transactions on antennas and propagation 2011-11, Vol.59 (11), p.4181-4200 |
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| container_title | IEEE transactions on antennas and propagation |
| container_volume | 59 |
| creator | Kovalyov, I. P. Ponomarev, D. M. |
| description | The problem under consideration here is that of building a versatile discrete antenna model in a frequency range. The eigenfunction (mode) expansion or singularity expansion method (SEM) is used in working out the problem. A detailed substantiation of SEM is provided and an expression determining the dependence of mode amplitudes on exterior source fields is derived. A simple example is provided in support of the theory. The SEM is used in inquiring into the frequency dependence of antenna-generalized matrix entries. It is intimated that all of the matrix entries contain resonance factors and factors that are Hankel transforms of radial coordinate functions. A sampling theorem, which is a generalized extension of the classic sampling theorem, is used for the Hankel transform. The application of the generalized sampling theorem completes the process of building a versatile discrete antenna model in a frequency range. |
| doi_str_mv | 10.1109/TAP.2011.2164205 |
| format | Article |
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The application of the generalized sampling theorem completes the process of building a versatile discrete antenna model in a frequency range.</description><identifier>ISSN: 0018-926X</identifier><identifier>EISSN: 1558-2221</identifier><identifier>DOI: 10.1109/TAP.2011.2164205</identifier><identifier>CODEN: IETPAK</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Antenna theory ; Antenna-generalized scattering matrix ; Antennas ; complex resonance frequencies ; Eigenvalues and eigenfunctions ; Electrodynamics ; Equations ; Exteriors ; Frequency ranges ; Mathematical models ; Resonant frequency ; Sampling ; sampling theorem for the Hankel transform ; Scanning electron microscopy ; Scattering ; spatial and frequency characteristics of antenna ; spherical waves ; Theorems ; Transforms</subject><ispartof>IEEE transactions on antennas and propagation, 2011-11, Vol.59 (11), p.4181-4200</ispartof><rights>2015 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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P.</creatorcontrib><creatorcontrib>Ponomarev, D. M.</creatorcontrib><title>The Resonance Mode Theory for Exterior Problems of Electrodynamics and Its Application to Discrete Antenna Modeling in a Frequency Range</title><title>IEEE transactions on antennas and propagation</title><addtitle>TAP</addtitle><description>The problem under consideration here is that of building a versatile discrete antenna model in a frequency range. The eigenfunction (mode) expansion or singularity expansion method (SEM) is used in working out the problem. A detailed substantiation of SEM is provided and an expression determining the dependence of mode amplitudes on exterior source fields is derived. A simple example is provided in support of the theory. The SEM is used in inquiring into the frequency dependence of antenna-generalized matrix entries. It is intimated that all of the matrix entries contain resonance factors and factors that are Hankel transforms of radial coordinate functions. A sampling theorem, which is a generalized extension of the classic sampling theorem, is used for the Hankel transform. The application of the generalized sampling theorem completes the process of building a versatile discrete antenna model in a frequency range.</description><subject>Antenna theory</subject><subject>Antenna-generalized scattering matrix</subject><subject>Antennas</subject><subject>complex resonance frequencies</subject><subject>Eigenvalues and eigenfunctions</subject><subject>Electrodynamics</subject><subject>Equations</subject><subject>Exteriors</subject><subject>Frequency ranges</subject><subject>Mathematical models</subject><subject>Resonant frequency</subject><subject>Sampling</subject><subject>sampling theorem for the Hankel transform</subject><subject>Scanning electron microscopy</subject><subject>Scattering</subject><subject>spatial and frequency characteristics of antenna</subject><subject>spherical waves</subject><subject>Theorems</subject><subject>Transforms</subject><issn>0018-926X</issn><issn>1558-2221</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkU1rGzEQhkVJoU7ae6EXESj0sq4-VlrpaBLnA1Iaggu9Ca12NlFYS64kQ_0P8rOjxCaHnEYjPfPOaF6EvlIyp5Ton6vF7ZwRSueMypYR8QHNqBCqYYzRIzQjhKpGM_n3EzrO-bGmrWrbGXpaPQC-gxyDDQ7wrzgArlcx7fAYE17-L5B8Pdym2E-wzjiOeDmBKykOu2DX3mVsw4CvS8aLzWbyzhYfAy4Rn_vsEhTAi1AgBPsqPvlwj33AFl8k-LeF4Hb4zoZ7-Iw-jnbK8OUQT9Cfi-Xq7Kq5-X15fba4aRwXvDSOMskGOWrbCTIIR3oqwVmnBy5BdxrqLjrX20H0AjixSjKhORGiVWToW8dP0I-97ibF2j8Xs65zwjTZAHGbDZUdZVoqJSp6-g59jNsU6nRGUy51p1peIbKHXIo5JxjNJvm1TTtDiXlxxlRnzIsz5uBMLfl-0LXZ2WlMdfU-v9UxwbrKqcp923MeAN6eRf0lVZI_AxTglzk</recordid><startdate>20111101</startdate><enddate>20111101</enddate><creator>Kovalyov, I. 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P.</creatorcontrib><creatorcontrib>Ponomarev, D. M.</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>IEEE transactions on antennas and propagation</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Kovalyov, I. P.</au><au>Ponomarev, D. M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Resonance Mode Theory for Exterior Problems of Electrodynamics and Its Application to Discrete Antenna Modeling in a Frequency Range</atitle><jtitle>IEEE transactions on antennas and propagation</jtitle><stitle>TAP</stitle><date>2011-11-01</date><risdate>2011</risdate><volume>59</volume><issue>11</issue><spage>4181</spage><epage>4200</epage><pages>4181-4200</pages><issn>0018-926X</issn><eissn>1558-2221</eissn><coden>IETPAK</coden><abstract>The problem under consideration here is that of building a versatile discrete antenna model in a frequency range. The eigenfunction (mode) expansion or singularity expansion method (SEM) is used in working out the problem. A detailed substantiation of SEM is provided and an expression determining the dependence of mode amplitudes on exterior source fields is derived. A simple example is provided in support of the theory. The SEM is used in inquiring into the frequency dependence of antenna-generalized matrix entries. It is intimated that all of the matrix entries contain resonance factors and factors that are Hankel transforms of radial coordinate functions. A sampling theorem, which is a generalized extension of the classic sampling theorem, is used for the Hankel transform. The application of the generalized sampling theorem completes the process of building a versatile discrete antenna model in a frequency range.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TAP.2011.2164205</doi><tpages>20</tpages></addata></record> |
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| ispartof | IEEE transactions on antennas and propagation, 2011-11, Vol.59 (11), p.4181-4200 |
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| source | IEEE Electronic Library (IEL) |
| subjects | Antenna theory Antenna-generalized scattering matrix Antennas complex resonance frequencies Eigenvalues and eigenfunctions Electrodynamics Equations Exteriors Frequency ranges Mathematical models Resonant frequency Sampling sampling theorem for the Hankel transform Scanning electron microscopy Scattering spatial and frequency characteristics of antenna spherical waves Theorems Transforms |
| title | The Resonance Mode Theory for Exterior Problems of Electrodynamics and Its Application to Discrete Antenna Modeling in a Frequency Range |
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