Strongly convergent Green's function expansions for rectangularly shielded microstrip lines
The exact analytical treatment of the quasi-TEM mode in various cross-sectional configurations of microstrip lines may be used on Carleman-type singular integral equations (SIEs). Their kernel is a Laplacian Green's function G with source point limited on the interface separating the dielectric...
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Veröffentlicht in: | IEEE transactions on microwave theory and techniques 1988-10, Vol.36 (10), p.1386-1396 |
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creator | Fikioris, J.G. Tsalamengas, J.L. Fikioris, G.J. |
description | The exact analytical treatment of the quasi-TEM mode in various cross-sectional configurations of microstrip lines may be used on Carleman-type singular integral equations (SIEs). Their kernel is a Laplacian Green's function G with source point limited on the interface separating the dielectric media. Strongly convergent expansion for G, particularly suited for the subsequent solution of the SIE and for exact field-point evaluations in rectangularly shielded microstrip configurations, are developed. Extraction of the singular logarithmic term leads to rapidly converging series expansions for the nonsingular part. The convergence of certain of these series is further improved when the field point lies also on the interface or when the source point approaches the shielding boundaries.< > |
doi_str_mv | 10.1109/22.6086 |
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Their kernel is a Laplacian Green's function G with source point limited on the interface separating the dielectric media. Strongly convergent expansion for G, particularly suited for the subsequent solution of the SIE and for exact field-point evaluations in rectangularly shielded microstrip configurations, are developed. Extraction of the singular logarithmic term leads to rapidly converging series expansions for the nonsingular part. The convergence of certain of these series is further improved when the field point lies also on the interface or when the source point approaches the shielding boundaries.< ></description><identifier>ISSN: 0018-9480</identifier><identifier>EISSN: 1557-9670</identifier><identifier>DOI: 10.1109/22.6086</identifier><identifier>CODEN: IETMAB</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Applied sciences ; Circuit properties ; Conductors ; Dielectrics ; Electric, optical and optoelectronic circuits ; Electronics ; Exact sciences and technology ; Green's function methods ; Image converters ; Integral equations ; Kernel ; Laplace equations ; Microstrip ; Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits ; Stripline ; Strips</subject><ispartof>IEEE transactions on microwave theory and techniques, 1988-10, Vol.36 (10), p.1386-1396</ispartof><rights>1989 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c362t-d0c9c812b1dc10cb86a7a42e4e5a84cf56e6db6a04f6a5634b9942284706a9453</citedby><cites>FETCH-LOGICAL-c362t-d0c9c812b1dc10cb86a7a42e4e5a84cf56e6db6a04f6a5634b9942284706a9453</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/6086$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27903,27904,54736</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/6086$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=7326518$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Fikioris, J.G.</creatorcontrib><creatorcontrib>Tsalamengas, J.L.</creatorcontrib><creatorcontrib>Fikioris, G.J.</creatorcontrib><title>Strongly convergent Green's function expansions for rectangularly shielded microstrip lines</title><title>IEEE transactions on microwave theory and techniques</title><addtitle>TMTT</addtitle><description>The exact analytical treatment of the quasi-TEM mode in various cross-sectional configurations of microstrip lines may be used on Carleman-type singular integral equations (SIEs). Their kernel is a Laplacian Green's function G with source point limited on the interface separating the dielectric media. Strongly convergent expansion for G, particularly suited for the subsequent solution of the SIE and for exact field-point evaluations in rectangularly shielded microstrip configurations, are developed. Extraction of the singular logarithmic term leads to rapidly converging series expansions for the nonsingular part. The convergence of certain of these series is further improved when the field point lies also on the interface or when the source point approaches the shielding boundaries.< ></description><subject>Applied sciences</subject><subject>Circuit properties</subject><subject>Conductors</subject><subject>Dielectrics</subject><subject>Electric, optical and optoelectronic circuits</subject><subject>Electronics</subject><subject>Exact sciences and technology</subject><subject>Green's function methods</subject><subject>Image converters</subject><subject>Integral equations</subject><subject>Kernel</subject><subject>Laplace equations</subject><subject>Microstrip</subject><subject>Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits</subject><subject>Stripline</subject><subject>Strips</subject><issn>0018-9480</issn><issn>1557-9670</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1988</creationdate><recordtype>article</recordtype><recordid>eNqN0T1PwzAQBmALgUQpiJUxA6JTiu34c0QVFCQkBmBiiBznUoxcp9gJov-elFZdYbJ9fu6VTofQOcFTQrC-pnQqsBIHaEQ4l7kWEh-iEcZE5ZopfIxOUvoYnoxjNUJvz11sw8KvM9uGL4gLCF02jwBhkrKmD7Zzbcjge2VCGm5DrY1ZBNuZsOi9iUNjenfga6izpbOxTV10q8y7AOkUHTXGJzjbnWP0enf7MrvPH5_mD7Obx9wWgnZ5ja22itCK1JZgWylhpGEUGHCjmG24AFFXwmDWCMNFwSqtGaWKSSyMZrwYo6tt7iq2nz2krly6ZMF7E6DtU0mVkJIp9jfkmCvJ9H9gIQSVA5xs4WbyFKEpV9EtTVyXBJebdZSUlpt1DPJyF2mSNb6JJliX9lwWVHCiBnaxZQ4A9r-_CT8zEJIJ</recordid><startdate>19881001</startdate><enddate>19881001</enddate><creator>Fikioris, J.G.</creator><creator>Tsalamengas, J.L.</creator><creator>Fikioris, G.J.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope><scope>H8D</scope></search><sort><creationdate>19881001</creationdate><title>Strongly convergent Green's function expansions for rectangularly shielded microstrip lines</title><author>Fikioris, J.G. ; Tsalamengas, J.L. ; Fikioris, G.J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c362t-d0c9c812b1dc10cb86a7a42e4e5a84cf56e6db6a04f6a5634b9942284706a9453</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1988</creationdate><topic>Applied sciences</topic><topic>Circuit properties</topic><topic>Conductors</topic><topic>Dielectrics</topic><topic>Electric, optical and optoelectronic circuits</topic><topic>Electronics</topic><topic>Exact sciences and technology</topic><topic>Green's function methods</topic><topic>Image converters</topic><topic>Integral equations</topic><topic>Kernel</topic><topic>Laplace equations</topic><topic>Microstrip</topic><topic>Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits</topic><topic>Stripline</topic><topic>Strips</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fikioris, J.G.</creatorcontrib><creatorcontrib>Tsalamengas, J.L.</creatorcontrib><creatorcontrib>Fikioris, G.J.</creatorcontrib><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>Aerospace Database</collection><jtitle>IEEE transactions on microwave theory and techniques</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Fikioris, J.G.</au><au>Tsalamengas, J.L.</au><au>Fikioris, G.J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Strongly convergent Green's function expansions for rectangularly shielded microstrip lines</atitle><jtitle>IEEE transactions on microwave theory and techniques</jtitle><stitle>TMTT</stitle><date>1988-10-01</date><risdate>1988</risdate><volume>36</volume><issue>10</issue><spage>1386</spage><epage>1396</epage><pages>1386-1396</pages><issn>0018-9480</issn><eissn>1557-9670</eissn><coden>IETMAB</coden><abstract>The exact analytical treatment of the quasi-TEM mode in various cross-sectional configurations of microstrip lines may be used on Carleman-type singular integral equations (SIEs). Their kernel is a Laplacian Green's function G with source point limited on the interface separating the dielectric media. Strongly convergent expansion for G, particularly suited for the subsequent solution of the SIE and for exact field-point evaluations in rectangularly shielded microstrip configurations, are developed. Extraction of the singular logarithmic term leads to rapidly converging series expansions for the nonsingular part. The convergence of certain of these series is further improved when the field point lies also on the interface or when the source point approaches the shielding boundaries.< ></abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/22.6086</doi><tpages>11</tpages></addata></record> |
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subjects | Applied sciences Circuit properties Conductors Dielectrics Electric, optical and optoelectronic circuits Electronics Exact sciences and technology Green's function methods Image converters Integral equations Kernel Laplace equations Microstrip Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits Stripline Strips |
title | Strongly convergent Green's function expansions for rectangularly shielded microstrip lines |
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