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Accelerated computation of the free space Green's function of semi-infinite phased arrays of dipoles
In this Communication, we provide an efficient algorithm for the evaluation of the semi-infinite array Green's function (SAGF) for a semi-infinite planar periodic phased array of dipoles in free space. For observation points not too far from the array plane, the algorithm uses a hybrid spectral...
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Published in: | IEEE transactions on antennas and propagation 2006-03, Vol.54 (3), p.1037-1040 |
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container_title | IEEE transactions on antennas and propagation |
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creator | Craeye, C. Capolino, F. |
description | In this Communication, we provide an efficient algorithm for the evaluation of the semi-infinite array Green's function (SAGF) for a semi-infinite planar periodic phased array of dipoles in free space. For observation points not too far from the array plane, the algorithm uses a hybrid spectral-spatial representation of the Green's function accelerated with the Levin T method, that we show to be faster than the Shanks method. For observation points sufficiently far away from the array plane, we show that the SAGF is efficiently evaluated by using asymptotic field expressions. Asymptotics is also used to explain the loss of accuracy of the Levin T accelerator in certain regions, and a correction procedure is proposed to overcome this problem |
doi_str_mv | 10.1109/TAP.2006.869945 |
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(IEEE) 2006</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c391t-44e6969558ee52ecdd533f64da05fc2e06781042ca49863b652dc2417411bea83</citedby><cites>FETCH-LOGICAL-c391t-44e6969558ee52ecdd533f64da05fc2e06781042ca49863b652dc2417411bea83</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1603830$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,54796</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=17593026$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Craeye, C.</creatorcontrib><creatorcontrib>Capolino, F.</creatorcontrib><title>Accelerated computation of the free space Green's function of semi-infinite phased arrays of dipoles</title><title>IEEE transactions on antennas and propagation</title><addtitle>TAP</addtitle><description>In this Communication, we provide an efficient algorithm for the evaluation of the semi-infinite array Green's function (SAGF) for a semi-infinite planar periodic phased array of dipoles in free space. 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Asymptotics is also used to explain the loss of accuracy of the Levin T accelerator in certain regions, and a correction procedure is proposed to overcome this problem</description><subject>Acceleration</subject><subject>Accelerators</subject><subject>Algorithms</subject><subject>Antenna radiation patterns</subject><subject>Antennas</subject><subject>Applied sciences</subject><subject>Arrays</subject><subject>Asymptotic properties</subject><subject>Bandwidth</subject><subject>Broadband antennas</subject><subject>Dipole antennas</subject><subject>Dipoles</subject><subject>Exact sciences and technology</subject><subject>Frequency</subject><subject>Green's function</subject><subject>Green's function methods</subject><subject>Green's functions</subject><subject>Impedance</subject><subject>Loaded antennas</subject><subject>numerical methods</subject><subject>periodic structures</subject><subject>Phased arrays</subject><subject>Planes</subject><subject>Radiocommunications</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>2006</creationdate><recordtype>article</recordtype><recordid>eNpdkLtrwzAQxkVpoWnauUMXUyiZnOhlRRpD6AsC7ZBCN6HIJ6Lg2K5kD_nvK5OUQJd7cL_7uPsQuid4SghWs_Xic0oxFlMplOLFBRqRopA5pZRcohHGROaKiu9rdBPjLrVccj5C5cJaqCCYDsrMNvu270znmzprXNZtIXMBIIutsZC9prKexMz1tf1DIux97mvna99B1m5NTDImBHOIw7j0bVNBvEVXzlQR7k55jL5entfLt3z18fq-XKxyyxTpcs5BKKHS1QAFBVuWBWNO8NLgwlkKWMwlwZxaw5UUbCMKWlrKyZwTsgEj2RhNjrptaH56iJ3e-5jeq0wNTR-1lIrjISTy8R-5a_pQp-O0IpQwOucqQbMjZEMTYwCn2-D3Jhw0wXrwXCfP9eC5PnqeNp5OsiZaU7lgauvjeW1eKIapSNzDkfMAcB4LzCTD7BeWsomL</recordid><startdate>20060301</startdate><enddate>20060301</enddate><creator>Craeye, C.</creator><creator>Capolino, F.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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subjects | Acceleration Accelerators Algorithms Antenna radiation patterns Antennas Applied sciences Arrays Asymptotic properties Bandwidth Broadband antennas Dipole antennas Dipoles Exact sciences and technology Frequency Green's function Green's function methods Green's functions Impedance Loaded antennas numerical methods periodic structures Phased arrays Planes Radiocommunications Telecommunications Telecommunications and information theory |
title | Accelerated computation of the free space Green's function of semi-infinite phased arrays of dipoles |
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