KUL and EPFL cooperation on numerical integration of Sommerfeld integrals
This paper reports the result of the cooperation between KUL and EPFL on the numerical integration of Sommerfeld integrals (SI). Each institution is well-known for developing specific techniques suited for the evaluation of SI: double-exponential quadrature rules to take the tail of the integral int...
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creator | Volskiy, V. Vandenbosch, G. A. E. Polimeridis, A. G. Mosig, J. R. Niciforovic, R. G. |
description | This paper reports the result of the cooperation between KUL and EPFL on the numerical integration of Sommerfeld integrals (SI). Each institution is well-known for developing specific techniques suited for the evaluation of SI: double-exponential quadrature rules to take the tail of the integral into account (EPFL) and an asymptotic extraction technique to remove the singularities (KUL). The combination of these two techniques results in a very promising algorithm, allowing to perform the integration along the real axis only. Several examples illustrate the algorithm efficiency. |
doi_str_mv | 10.1109/EuCAP.2012.6206566 |
format | Conference Proceeding |
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Several examples illustrate the algorithm efficiency.</description><subject>Green's functions</subject><subject>singularities</subject><subject>Sommerfeld integrals</subject><issn>2164-3342</issn><isbn>145770918X</isbn><isbn>9781457709180</isbn><isbn>1457709201</isbn><isbn>9781457709203</isbn><isbn>1457709198</isbn><isbn>9781457709197</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2012</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNo9kNtKw0AYhFdUsNa-gN7kBRL_PW8uS0hrMWDBCt6V7e6_spJDSdIL396ArTAwzHwwF0PII4WMUsify1Ox3GYMKMsUAyWVuiL3VEitIZ_a6_9AzecNmTGqRMq5YHdkMQzfAEBzCcaoGdm8flSJbX1SbldV4rruiL0dY9cmk9pTg310tk5iO-LXBYTkvWsmErD2F1IPD-Q2TIaLs8_JblXuipe0eltvimWVxhzG1PPAlUYftNZIPQeLDriUEIwzzB28s9IJ75wKzhotmD0o6qhQyA0XOedz8vQ3GxFxf-xjY_uf_fkF_gtuV0-N</recordid><startdate>201203</startdate><enddate>201203</enddate><creator>Volskiy, V.</creator><creator>Vandenbosch, G. A. E.</creator><creator>Polimeridis, A. G.</creator><creator>Mosig, J. R.</creator><creator>Niciforovic, R. G.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>201203</creationdate><title>KUL and EPFL cooperation on numerical integration of Sommerfeld integrals</title><author>Volskiy, V. ; Vandenbosch, G. A. E. ; Polimeridis, A. G. ; Mosig, J. R. ; Niciforovic, R. G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i90t-d3f367edf777e1d30aec03550f8c82cbdca5c4dcc6fca8742ab61c146e3834933</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Green's functions</topic><topic>singularities</topic><topic>Sommerfeld integrals</topic><toplevel>online_resources</toplevel><creatorcontrib>Volskiy, V.</creatorcontrib><creatorcontrib>Vandenbosch, G. A. E.</creatorcontrib><creatorcontrib>Polimeridis, A. G.</creatorcontrib><creatorcontrib>Mosig, J. R.</creatorcontrib><creatorcontrib>Niciforovic, R. G.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Volskiy, V.</au><au>Vandenbosch, G. A. E.</au><au>Polimeridis, A. G.</au><au>Mosig, J. R.</au><au>Niciforovic, R. G.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>KUL and EPFL cooperation on numerical integration of Sommerfeld integrals</atitle><btitle>2012 6th European Conference on Antennas and Propagation (EUCAP)</btitle><stitle>EuCAP</stitle><date>2012-03</date><risdate>2012</risdate><spage>1</spage><epage>4</epage><pages>1-4</pages><issn>2164-3342</issn><isbn>145770918X</isbn><isbn>9781457709180</isbn><eisbn>1457709201</eisbn><eisbn>9781457709203</eisbn><eisbn>1457709198</eisbn><eisbn>9781457709197</eisbn><abstract>This paper reports the result of the cooperation between KUL and EPFL on the numerical integration of Sommerfeld integrals (SI). Each institution is well-known for developing specific techniques suited for the evaluation of SI: double-exponential quadrature rules to take the tail of the integral into account (EPFL) and an asymptotic extraction technique to remove the singularities (KUL). The combination of these two techniques results in a very promising algorithm, allowing to perform the integration along the real axis only. Several examples illustrate the algorithm efficiency.</abstract><pub>IEEE</pub><doi>10.1109/EuCAP.2012.6206566</doi><tpages>4</tpages></addata></record> |
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source | IEEE Electronic Library (IEL) Conference Proceedings |
subjects | Green's functions singularities Sommerfeld integrals |
title | KUL and EPFL cooperation on numerical integration of Sommerfeld integrals |
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