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Article: High frequency scattering by an impenetrable sphere

TitleHigh frequency scattering by an impenetrable sphere
Authors
KeywordsCPU time
Error accumulation
Far-field
Frequency independent
Hankel functions
Issue Date2009
PublisherElectromagnetics Academy. The Journal's web site is located at http://www.jpier.org/PIER/
Citation
Progress In Electromagnetics Research, 2009, v. 97, p. 291-325 How to Cite?
AbstractThe high frequency scattering of a scalar plane wave from an impenetrable sphere with a diameter of several thousand wavelengths is treated by the Sommerfeld-Watson transformation, the saddle-point technique (SPT), and the numerical steepest descent method (NSDM). Both the near and far fields for the sphere are computed within the observation angle range of 0 to 180 degree. First, with the aid of the Watson transformation, the fast-convergent residue series replacing the slow-convergent Mie series is derived. Second, a new algorithm for finding the zeros of the Hankel functions is developed. Third, a novel NSDM, which is adaptive to frequency and is hence frequency independent, is proposed to overcome the breakdown of the traditional SPT in the transition region. Numerical results show that when the observation angle is very small, the Mie series solution of the near-field will not be accurate due to error accumulation. Furthermore, using the proposed methods, the CPU times for both the near-field and far-field calculations are frequency independent with controllable error. This work can be used to benchmark future works for high-frequency scattering.
Persistent Identifierhttp://hdl.handle.net/10722/124713
ISSN
2015 SCImago Journal Rankings: 0.682
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorSha, WEIen_HK
dc.contributor.authorChew, WCen_HK
dc.date.accessioned2010-10-31T10:49:56Z-
dc.date.available2010-10-31T10:49:56Z-
dc.date.issued2009en_HK
dc.identifier.citationProgress In Electromagnetics Research, 2009, v. 97, p. 291-325en_HK
dc.identifier.issn1070-4698en_HK
dc.identifier.urihttp://hdl.handle.net/10722/124713-
dc.description.abstractThe high frequency scattering of a scalar plane wave from an impenetrable sphere with a diameter of several thousand wavelengths is treated by the Sommerfeld-Watson transformation, the saddle-point technique (SPT), and the numerical steepest descent method (NSDM). Both the near and far fields for the sphere are computed within the observation angle range of 0 to 180 degree. First, with the aid of the Watson transformation, the fast-convergent residue series replacing the slow-convergent Mie series is derived. Second, a new algorithm for finding the zeros of the Hankel functions is developed. Third, a novel NSDM, which is adaptive to frequency and is hence frequency independent, is proposed to overcome the breakdown of the traditional SPT in the transition region. Numerical results show that when the observation angle is very small, the Mie series solution of the near-field will not be accurate due to error accumulation. Furthermore, using the proposed methods, the CPU times for both the near-field and far-field calculations are frequency independent with controllable error. This work can be used to benchmark future works for high-frequency scattering.en_HK
dc.languageengen_HK
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.subjectCPU time-
dc.subjectError accumulation-
dc.subjectFar-field-
dc.subjectFrequency independent-
dc.subjectHankel functions-
dc.titleHigh frequency scattering by an impenetrable sphereen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1559-8985; 1070-4698&volume=97&spage=291&epage=325&date=2009&atitle=High+frequency+scattering+by+an+impenetrable+sphere-
dc.identifier.emailSha, WEI: shawei@hku.hken_HK
dc.identifier.emailChew, WC: wcchew@hku.hken_HK
dc.identifier.authoritySha, WEI=rp01605en_HK
dc.identifier.authorityChew, WC=rp00656en_HK
dc.description.naturelink_to_OA_fulltext-
dc.identifier.doi10.2528/PIER09100102-
dc.identifier.scopuseid_2-s2.0-70350647089en_HK
dc.identifier.hkuros176053en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-70350647089&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume97en_HK
dc.identifier.spage291en_HK
dc.identifier.epage325en_HK
dc.identifier.isiWOS:000271569600018-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridSha, WEI=34267903200en_HK
dc.identifier.scopusauthoridChew, WC=36014436300en_HK

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