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Article: Computing highly oscillatory physical optics integral on the polygonal domain by an efficient numerical steepest descent path method

TitleComputing highly oscillatory physical optics integral on the polygonal domain by an efficient numerical steepest descent path method
Authors
KeywordsAsymptotic Approximation
Critical Points
Highly Oscillatory Integral
Numerical Steepest Descent Path
Physical Optics
Polygonal Domain
Issue Date2013
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcp
Citation
Journal Of Computational Physics, 2013, v. 236 n. 1, p. 408-425 How to Cite?
AbstractIn this work, the computation of physical optics (PO) type integral with the integrand of quadratic phase and amplitude is studied. First, we apply the numerical steepest descent path (NSDP) method to calculate the highly oscillatory PO integral on the triangular patch. Then, we rigorously extend the proposed NSDP method to analyze the PO integral on polygonal domains. Furthermore, the contributions of critical points on polygonal domains, including the stationary phase point, resonance and vertex points, are comprehensively studied in terms of the NSDP method. Compared to the traditional high frequency asymptotic (HFA) method, when the wave frequency is not very high but in the high frequency regime, the NSDP method has improved the PO integral accuracy by one to two digits. Meanwhile, the computational cost by using the proposed NSDP method is independent of the wave frequency. © 2012 Elsevier Inc..
Persistent Identifierhttp://hdl.handle.net/10722/182789
ISSN
2015 Impact Factor: 2.556
2015 SCImago Journal Rankings: 2.167
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWu, YMen_US
dc.contributor.authorJiang, LJen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:51Z-
dc.date.available2013-05-02T05:16:51Z-
dc.date.issued2013en_US
dc.identifier.citationJournal Of Computational Physics, 2013, v. 236 n. 1, p. 408-425en_US
dc.identifier.issn0021-9991en_US
dc.identifier.urihttp://hdl.handle.net/10722/182789-
dc.description.abstractIn this work, the computation of physical optics (PO) type integral with the integrand of quadratic phase and amplitude is studied. First, we apply the numerical steepest descent path (NSDP) method to calculate the highly oscillatory PO integral on the triangular patch. Then, we rigorously extend the proposed NSDP method to analyze the PO integral on polygonal domains. Furthermore, the contributions of critical points on polygonal domains, including the stationary phase point, resonance and vertex points, are comprehensively studied in terms of the NSDP method. Compared to the traditional high frequency asymptotic (HFA) method, when the wave frequency is not very high but in the high frequency regime, the NSDP method has improved the PO integral accuracy by one to two digits. Meanwhile, the computational cost by using the proposed NSDP method is independent of the wave frequency. © 2012 Elsevier Inc..en_US
dc.languageengen_US
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcpen_US
dc.relation.ispartofJournal of Computational Physicsen_US
dc.subjectAsymptotic Approximationen_US
dc.subjectCritical Pointsen_US
dc.subjectHighly Oscillatory Integralen_US
dc.subjectNumerical Steepest Descent Pathen_US
dc.subjectPhysical Opticsen_US
dc.subjectPolygonal Domainen_US
dc.titleComputing highly oscillatory physical optics integral on the polygonal domain by an efficient numerical steepest descent path methoden_US
dc.typeArticleen_US
dc.identifier.emailJiang, LJ: jianglj@hku.hken_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityJiang, LJ=rp01338en_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.jcp.2012.10.052en_US
dc.identifier.scopuseid_2-s2.0-84871994687en_US
dc.identifier.hkuros218842-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84871994687&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume236en_US
dc.identifier.issue1en_US
dc.identifier.spage408en_US
dc.identifier.epage425en_US
dc.identifier.isiWOS:000314801500025-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridWu, YM=25724050500en_US
dc.identifier.scopusauthoridJiang, LJ=36077777200en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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