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Article: Computing highly oscillatory physical optics integral on the polygonal domain by an efficient numerical steepest descent path method
Title | Computing highly oscillatory physical optics integral on the polygonal domain by an efficient numerical steepest descent path method |
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Authors | |
Keywords | Asymptotic Approximation Critical Points Highly Oscillatory Integral Numerical Steepest Descent Path Physical Optics Polygonal Domain |
Issue Date | 2013 |
Publisher | Academic 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? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/182789 |
ISSN | 2023 Impact Factor: 3.8 2023 SCImago Journal Rankings: 1.679 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Wu, YM | en_US |
dc.contributor.author | Jiang, LJ | en_US |
dc.contributor.author | Chew, WC | en_US |
dc.date.accessioned | 2013-05-02T05:16:51Z | - |
dc.date.available | 2013-05-02T05:16:51Z | - |
dc.date.issued | 2013 | en_US |
dc.identifier.citation | Journal Of Computational Physics, 2013, v. 236 n. 1, p. 408-425 | en_US |
dc.identifier.issn | 0021-9991 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/182789 | - |
dc.description.abstract | In 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.language | eng | en_US |
dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcp | en_US |
dc.relation.ispartof | Journal of Computational Physics | en_US |
dc.subject | Asymptotic Approximation | en_US |
dc.subject | Critical Points | en_US |
dc.subject | Highly Oscillatory Integral | en_US |
dc.subject | Numerical Steepest Descent Path | en_US |
dc.subject | Physical Optics | en_US |
dc.subject | Polygonal Domain | en_US |
dc.title | Computing highly oscillatory physical optics integral on the polygonal domain by an efficient numerical steepest descent path method | en_US |
dc.type | Article | en_US |
dc.identifier.email | Jiang, LJ: jianglj@hku.hk | en_US |
dc.identifier.email | Chew, WC: wcchew@hku.hk | en_US |
dc.identifier.authority | Jiang, LJ=rp01338 | en_US |
dc.identifier.authority | Chew, WC=rp00656 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1016/j.jcp.2012.10.052 | en_US |
dc.identifier.scopus | eid_2-s2.0-84871994687 | en_US |
dc.identifier.hkuros | 218842 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-84871994687&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 236 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.spage | 408 | en_US |
dc.identifier.epage | 425 | en_US |
dc.identifier.isi | WOS:000314801500025 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Wu, YM=25724050500 | en_US |
dc.identifier.scopusauthorid | Jiang, LJ=36077777200 | en_US |
dc.identifier.scopusauthorid | Chew, WC=36014436300 | en_US |
dc.identifier.issnl | 0021-9991 | - |