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Article: Microstrip Capacitance for a Circular Disk Through Matched Asymptotic Expansions

TitleMicrostrip Capacitance for a Circular Disk Through Matched Asymptotic Expansions
Authors
Issue Date1982
PublisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at http://epubs.siam.org/sam-bin/dbq/toclist/SIAP
Citation
SIAM Journal On Applied Mathematics, 1982, v. 42 n. 2, p. 302-317 How to Cite?
AbstractThe solution of the potential around two parallel circular disks separated by a dielectric slab is obtained by using the method of matched asymptotic expansions, asymptotic formula for the capacitance has been derived in the limit of small separation 2 delta . The formula obtained includes terms of order delta as well. The mixed boundary value problem is solved by dividing the space around the parallel plates into three regions; the exterior region, the edge region, and the interior region. The solution of the edge region incorporating dielectric effects is obtained by using the Wiener-Hopf technique. The exterior solution of the circular disk problem is obtained by using Hankel transforms. The Hankel transform representation of the exterior solution facilitates the easy derivation of its edge expansion from the Lipschitz-Hankel integrals.
Persistent Identifierhttp://hdl.handle.net/10722/182461
ISSN
2015 Impact Factor: 1.51
2015 SCImago Journal Rankings: 0.970
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChew, WCen_US
dc.contributor.authorKong, JAen_US
dc.date.accessioned2013-05-02T05:15:28Z-
dc.date.available2013-05-02T05:15:28Z-
dc.date.issued1982en_US
dc.identifier.citationSIAM Journal On Applied Mathematics, 1982, v. 42 n. 2, p. 302-317en_US
dc.identifier.issn0036-1399en_US
dc.identifier.urihttp://hdl.handle.net/10722/182461-
dc.description.abstractThe solution of the potential around two parallel circular disks separated by a dielectric slab is obtained by using the method of matched asymptotic expansions, asymptotic formula for the capacitance has been derived in the limit of small separation 2 delta . The formula obtained includes terms of order delta as well. The mixed boundary value problem is solved by dividing the space around the parallel plates into three regions; the exterior region, the edge region, and the interior region. The solution of the edge region incorporating dielectric effects is obtained by using the Wiener-Hopf technique. The exterior solution of the circular disk problem is obtained by using Hankel transforms. The Hankel transform representation of the exterior solution facilitates the easy derivation of its edge expansion from the Lipschitz-Hankel integrals.en_US
dc.languageengen_US
dc.publisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at http://epubs.siam.org/sam-bin/dbq/toclist/SIAPen_US
dc.relation.ispartofSIAM Journal on Applied Mathematicsen_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleMicrostrip Capacitance for a Circular Disk Through Matched Asymptotic Expansionsen_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturepublished_or_final_versionen_US
dc.identifier.doi10.1137/0142024-
dc.identifier.scopuseid_2-s2.0-0020115593en_US
dc.identifier.volume42en_US
dc.identifier.issue2en_US
dc.identifier.spage302en_US
dc.identifier.epage317en_US
dc.identifier.isiWOS:A1982NK74300009-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US
dc.identifier.scopusauthoridKong, JA=7202290923en_US

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