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Article: Efficient evaluation of Sommerfeld integrals for TM wave scattering by buried objects

TitleEfficient evaluation of Sommerfeld integrals for TM wave scattering by buried objects
Authors
Issue Date1998
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandfonline.com/toc/tewa20/current
Citation
Journal Of Electromagnetic Waves And Applications, 1998, v. 12 n. 5, p. 607-657 How to Cite?
AbstractUnlike the scattering problem in homogeneous space, intensive computations of Sommerfeld integrals are involved in the EM scattering of buried scatterers. There are mainly three bottlenecks of the CPU time for such problem: matrix filling, matrix inversion and calculation of the scattered fields. For moderately sized problems, extensive numerical experience shows that the CPU time used in the first and third items (concerned with the Sommerfeld integrals) is much more than that used in the matrix inversion. Therefore an efficient method for solving such buried object problems requires the fast evaluation of such Sommerfeld integrals. In this paper, several efficient methods are presented to evaluate the integrals that appear in the TM wave scattering by two-dimensional buried dielectric and conducting cylinders. In the numerical integration method, the original integrating path is deformed to the steepest-descent paths to expedite the numerical integration and yield a more stable computation result. In the method of steepest descent, the leading and higher-order approximation of the saddle point, and the contribution of the branch point are formulated. However these formulations are invalid near the so called critical angles. In the uniform asymptotic expansion method, we improve the approximations near such critical angles to yield satisfactory results. Finally, numerous numerical examples are given by using the fast evaluation methods. Numerical results show that the leading-order approximation and the uniform asymptotic solution can expedite the buried object scattering problem, and the CPU time will be reduced several thousands times.
Persistent Identifierhttp://hdl.handle.net/10722/182589
ISSN
2015 Impact Factor: 0.772
2015 SCImago Journal Rankings: 0.394
References

 

DC FieldValueLanguage
dc.contributor.authorCui, TJen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:00Z-
dc.date.available2013-05-02T05:16:00Z-
dc.date.issued1998en_US
dc.identifier.citationJournal Of Electromagnetic Waves And Applications, 1998, v. 12 n. 5, p. 607-657en_US
dc.identifier.issn0920-5071en_US
dc.identifier.urihttp://hdl.handle.net/10722/182589-
dc.description.abstractUnlike the scattering problem in homogeneous space, intensive computations of Sommerfeld integrals are involved in the EM scattering of buried scatterers. There are mainly three bottlenecks of the CPU time for such problem: matrix filling, matrix inversion and calculation of the scattered fields. For moderately sized problems, extensive numerical experience shows that the CPU time used in the first and third items (concerned with the Sommerfeld integrals) is much more than that used in the matrix inversion. Therefore an efficient method for solving such buried object problems requires the fast evaluation of such Sommerfeld integrals. In this paper, several efficient methods are presented to evaluate the integrals that appear in the TM wave scattering by two-dimensional buried dielectric and conducting cylinders. In the numerical integration method, the original integrating path is deformed to the steepest-descent paths to expedite the numerical integration and yield a more stable computation result. In the method of steepest descent, the leading and higher-order approximation of the saddle point, and the contribution of the branch point are formulated. However these formulations are invalid near the so called critical angles. In the uniform asymptotic expansion method, we improve the approximations near such critical angles to yield satisfactory results. Finally, numerous numerical examples are given by using the fast evaluation methods. Numerical results show that the leading-order approximation and the uniform asymptotic solution can expedite the buried object scattering problem, and the CPU time will be reduced several thousands times.en_US
dc.languageengen_US
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandfonline.com/toc/tewa20/currenten_US
dc.relation.ispartofJournal of Electromagnetic Waves and Applicationsen_US
dc.titleEfficient evaluation of Sommerfeld integrals for TM wave scattering by buried objectsen_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0031676910en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0031676910&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume12en_US
dc.identifier.issue5en_US
dc.identifier.spage607en_US
dc.identifier.epage657en_US
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridCui, TJ=7103095470en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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