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Article: An efficient method for computing highly oscillatory physical optics integral

TitleAn efficient method for computing highly oscillatory physical optics integral
Authors
Issue Date2012
PublisherElectromagnetics Academy. The Journal's web site is located at http://www.jpier.org/PIER/
Citation
Progress In Electromagnetics Research, 2012, v. 127, p. 211-257 How to Cite?
AbstractIn this work, we use the numerical steepest descent path (numerical SDP) method in complex analysis theory to calculate the highly oscillatory physical optics (PO) integral with quadratic phase and amplitude variations on the triangular patch. The Stokes' phenomenon will occur due to various asymptotic behaviors on different domains. The stationary phase point contributions are carefully studied by the numerical SDP method and complex analysis using contour deformation. Its result agrees very well with the leading terms of the traditional asymptotic expansion. Furthermore, the resonance points and vertex points contributions from the PO integral are also extracted. Compared with traditional approximate asymptotic expansion approach, our method has significantly improved the PO integral accuracy by one to two digits (10 -1 to 10 -2) for evaluating the PO integral. Moreover, the computation effort for the highly oscillatory integral is frequency independent. Numerical results for PO integral on the triangular patch are given to verify the proposed numerical SDP theory.
Persistent Identifierhttp://hdl.handle.net/10722/155750
ISSN
2015 SCImago Journal Rankings: 0.682
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWu, YMen_HK
dc.contributor.authorJiang, LJen_HK
dc.contributor.authorChew, WCen_HK
dc.date.accessioned2012-08-08T08:35:10Z-
dc.date.available2012-08-08T08:35:10Z-
dc.date.issued2012en_HK
dc.identifier.citationProgress In Electromagnetics Research, 2012, v. 127, p. 211-257en_HK
dc.identifier.issn1070-4698en_HK
dc.identifier.urihttp://hdl.handle.net/10722/155750-
dc.description.abstractIn this work, we use the numerical steepest descent path (numerical SDP) method in complex analysis theory to calculate the highly oscillatory physical optics (PO) integral with quadratic phase and amplitude variations on the triangular patch. The Stokes' phenomenon will occur due to various asymptotic behaviors on different domains. The stationary phase point contributions are carefully studied by the numerical SDP method and complex analysis using contour deformation. Its result agrees very well with the leading terms of the traditional asymptotic expansion. Furthermore, the resonance points and vertex points contributions from the PO integral are also extracted. Compared with traditional approximate asymptotic expansion approach, our method has significantly improved the PO integral accuracy by one to two digits (10 -1 to 10 -2) for evaluating the PO integral. Moreover, the computation effort for the highly oscillatory integral is frequency independent. Numerical results for PO integral on the triangular patch are given to verify the proposed numerical SDP theory.en_HK
dc.languageengen_US
dc.publisherElectromagnetics Academy. The Journal's web site is located at http://www.jpier.org/PIER/en_HK
dc.relation.ispartofProgress in Electromagnetics Researchen_HK
dc.titleAn efficient method for computing highly oscillatory physical optics integralen_HK
dc.typeArticleen_HK
dc.identifier.emailJiang, LJ: jianglj@hku.hken_HK
dc.identifier.emailChew, WC: wcchew@hku.hken_HK
dc.identifier.authorityJiang, LJ=rp01338en_HK
dc.identifier.authorityChew, WC=rp00656en_HK
dc.description.naturelink_to_OA_fulltexten_US
dc.identifier.doi10.2528/PIER12022308-
dc.identifier.scopuseid_2-s2.0-84860194412en_HK
dc.identifier.hkuros210800-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84860194412&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume127en_HK
dc.identifier.spage211en_HK
dc.identifier.epage257en_HK
dc.identifier.eissn1559-8985-
dc.identifier.isiWOS:000305328300013-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridWu, YM=25724050500en_HK
dc.identifier.scopusauthoridJiang, LJ=36077777200en_HK
dc.identifier.scopusauthoridChew, WC=36014436300en_HK

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