Identification of the acoustic resonances of absorbing cylinders using phase gradient and Argand diagram methods
Identifieur interne : 000877 ( Istex/Corpus ); précédent : 000876; suivant : 000878Identification of the acoustic resonances of absorbing cylinders using phase gradient and Argand diagram methods
Auteurs : Hervé Franklin ; Jean-Marc Conoir ; Jean-Louis IzbickiSource :
- Wave Motion [ 0165-2125 ] ; 2001.
Abstract
The properties of the acoustic resonances of a submerged absorbing elastic cylinder are investigated with the help of a two-channel scattering resonance formalism. In the elastic channel, different transition terms describing the resonance properties are compared. The scattering phase and its derivative with respect to the frequency are also studied thoroughly. Approximate formulae, involving different resonance widths, are given for the transition terms, the phase and its derivative. Argand diagrams of the transition terms are provided, summarising the characteristic quantities of the absorption phenomenon, i.e. the absorption coefficient, the phase and the resonance widths.
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DOI: 10.1016/S0165-2125(01)00073-7
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In the elastic channel, different transition terms describing the resonance properties are compared. The scattering phase and its derivative with respect to the frequency are also studied thoroughly. Approximate formulae, involving different resonance widths, are given for the transition terms, the phase and its derivative. Argand diagrams of the transition terms are provided, summarising the characteristic quantities of the absorption phenomenon, i.e. the absorption coefficient, the phase and the resonance widths.</div></front></TEI><istex><corpusName>elsevier</corpusName><author><json:item><name>Hervé Franklin</name><affiliations><json:string>Laboratoire d’Acoustique Ultrasonore et d’Electronique, LAUE, UPRESA 6068, Université du Havre, Place Robert Schuman, F-76610 Le Havre, France</json:string></affiliations></json:item><json:item><name>Jean-Marc Conoir</name><affiliations><json:string>Laboratoire d’Acoustique Ultrasonore et d’Electronique, LAUE, UPRESA 6068, Université du Havre, Place Robert Schuman, F-76610 Le Havre, France</json:string></affiliations></json:item><json:item><name>Jean-Louis Izbicki</name><affiliations><json:string>Laboratoire d’Acoustique Ultrasonore et d’Electronique, LAUE, UPRESA 6068, Université du Havre, Place Robert Schuman, F-76610 Le Havre, France</json:string><json:string>E-mail: izbicki@iut.univ-lehavre.fr</json:string></affiliations></json:item></author><language><json:string>eng</json:string></language><originalGenre><json:string>Full-length article</json:string></originalGenre><abstract>The properties of the acoustic resonances of a submerged absorbing elastic cylinder are investigated with the help of a two-channel scattering resonance formalism. In the elastic channel, different transition terms describing the resonance properties are compared. The scattering phase and its derivative with respect to the frequency are also studied thoroughly. Approximate formulae, involving different resonance widths, are given for the transition terms, the phase and its derivative. Argand diagrams of the transition terms are provided, summarising the characteristic quantities of the absorption phenomenon, i.e. the absorption coefficient, the phase and the resonance widths.</abstract><qualityIndicators><score>6.128</score><pdfVersion>1.2</pdfVersion><pdfPageSize>612 x 792 pts (letter)</pdfPageSize><refBibsNative>true</refBibsNative><keywordCount>0</keywordCount><abstractCharCount>684</abstractCharCount><pdfWordCount>6366</pdfWordCount><pdfCharCount>31166</pdfCharCount><pdfPageCount>17</pdfPageCount><abstractWordCount>94</abstractWordCount></qualityIndicators><title>Identification of the acoustic resonances of absorbing cylinders using phase gradient and Argand diagram methods</title><pii><json:string>S0165-2125(01)00073-7</json:string></pii><genre><json:string>research-article</json:string></genre><host><volume>34</volume><pii><json:string>S0165-2125(00)X0054-6</json:string></pii><pages><last>159</last><first>143</first></pages><issn><json:string>0165-2125</json:string></issn><issue>2</issue><genre><json:string>journal</json:string></genre><language><json:string>unknown</json:string></language><title>Wave Motion</title><publicationDate>2001</publicationDate></host><categories><wos><json:string>MECHANICS</json:string><json:string>ACOUSTICS</json:string><json:string>PHYSICS</json:string><json:string>PHYSICS, MULTIDISCIPLINARY</json:string></wos></categories><publicationDate>2001</publicationDate><copyrightDate>2001</copyrightDate><doi><json:string>10.1016/S0165-2125(01)00073-7</json:string></doi><id>BA4F51E6FCB4F6E76DCEE11356DDE410C75D7590</id><score>0.27447125</score><fulltext><json:item><original>true</original><mimetype>application/pdf</mimetype><extension>pdf</extension><uri>https://api.istex.fr/document/BA4F51E6FCB4F6E76DCEE11356DDE410C75D7590/fulltext/pdf</uri></json:item><json:item><original>false</original><mimetype>application/zip</mimetype><extension>zip</extension><uri>https://api.istex.fr/document/BA4F51E6FCB4F6E76DCEE11356DDE410C75D7590/fulltext/zip</uri></json:item><istex:fulltextTEI uri="https://api.istex.fr/document/BA4F51E6FCB4F6E76DCEE11356DDE410C75D7590/fulltext/tei"><teiHeader><fileDesc><titleStmt><title level="a">Identification of the acoustic resonances of absorbing cylinders using phase gradient and Argand diagram methods</title></titleStmt><publicationStmt><authority>ISTEX</authority><publisher>ELSEVIER</publisher><availability><p>©2001 Elsevier Science B.V.</p></availability><date>2001</date></publicationStmt><notesStmt><note type="content">Fig. 1: Functions ∣Te(x)∣2 (solid line) and ∣Ta(x)∣2 (dotted line) plotted versus frequency x for mode n=1.</note><note type="content">Fig. 2: Exact (solid line) and approximate (dotted line) functions ∣Te(x)∣2 plotted versus frequency x for resonances (1,3) and (1,4).</note><note type="content">Fig. 3: Exact (solid line) and approximate (dotted line) functions ∣ T ̄e(x)∣2 plotted versus frequency x for resonances (1,3) and (1,4).</note><note type="content">Fig. 4: Exact (solid line) and approximate (dotted line) function ∣TeR(x)∣2 plotted versus frequency x for resonances (1,3) and (1,4).</note><note type="content">Fig. 5: Absorbing phase δ(x) (solid line) and nonabsorbing phase δel(x) (dotted line) plotted versus frequency x for mode n=1.</note><note type="content">Fig. 6: Absorbing phase δ(x) plotted versus frequency x for resonances (1,3) and (1,4): exact (solid line); Eq. (26) in Fig. 6(a) and Eq. (30) in Fig. 6(b) (dotted line); Eq. (32) (dashed line).</note><note type="content">Fig. 7: Exact phase derivative dδ(x)/dx plotted versus frequency x for mode n=1.</note><note type="content">Fig. 8: Argand diagrams of resonance (1,4) related to the transition terms Te(x) (inner circle) and T ̄e(x) (outer circle).</note><note type="content">Fig. 9: Argand diagrams of resonance (1,3) related to the transition terms Te(x) (circle) and T ̄e(x) (arc of circle).</note></notesStmt><sourceDesc><biblStruct type="inbook"><analytic><title level="a">Identification of the acoustic resonances of absorbing cylinders using phase gradient and Argand diagram methods</title><author xml:id="author-1"><persName><forename type="first">Hervé</forename><surname>Franklin</surname></persName><affiliation>Laboratoire d’Acoustique Ultrasonore et d’Electronique, LAUE, UPRESA 6068, Université du Havre, Place Robert Schuman, F-76610 Le Havre, France</affiliation></author><author xml:id="author-2"><persName><forename type="first">Jean-Marc</forename><surname>Conoir</surname></persName><affiliation>Laboratoire d’Acoustique Ultrasonore et d’Electronique, LAUE, UPRESA 6068, Université du Havre, Place Robert Schuman, F-76610 Le Havre, France</affiliation></author><author xml:id="author-3"><persName><forename type="first">Jean-Louis</forename><surname>Izbicki</surname></persName><email>izbicki@iut.univ-lehavre.fr</email><note type="correspondence"><p>Corresponding author. Tel.: +33-2-32-797218; fax: +33-2-32-797219</p></note><affiliation>Laboratoire d’Acoustique Ultrasonore et d’Electronique, LAUE, UPRESA 6068, Université du Havre, Place Robert Schuman, F-76610 Le Havre, France</affiliation></author></analytic><monogr><title level="j">Wave Motion</title><title level="j" type="abbrev">WAMOT</title><idno type="pISSN">0165-2125</idno><idno type="PII">S0165-2125(00)X0054-6</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="2001"></date><biblScope unit="volume">34</biblScope><biblScope unit="issue">2</biblScope><biblScope unit="page" from="143">143</biblScope><biblScope unit="page" to="159">159</biblScope></imprint></monogr><idno type="istex">BA4F51E6FCB4F6E76DCEE11356DDE410C75D7590</idno><idno type="DOI">10.1016/S0165-2125(01)00073-7</idno><idno type="PII">S0165-2125(01)00073-7</idno></biblStruct></sourceDesc></fileDesc><profileDesc><creation><date>2001</date></creation><langUsage><language ident="en">en</language></langUsage><abstract xml:lang="en"><p>The properties of the acoustic resonances of a submerged absorbing elastic cylinder are investigated with the help of a two-channel scattering resonance formalism. In the elastic channel, different transition terms describing the resonance properties are compared. The scattering phase and its derivative with respect to the frequency are also studied thoroughly. Approximate formulae, involving different resonance widths, are given for the transition terms, the phase and its derivative. Argand diagrams of the transition terms are provided, summarising the characteristic quantities of the absorption phenomenon, i.e. the absorption coefficient, the phase and the resonance widths.</p></abstract></profileDesc><revisionDesc><change when="2000-07-11">Modified</change><change when="2001">Published</change></revisionDesc></teiHeader></istex:fulltextTEI><json:item><original>false</original><mimetype>text/plain</mimetype><extension>txt</extension><uri>https://api.istex.fr/document/BA4F51E6FCB4F6E76DCEE11356DDE410C75D7590/fulltext/txt</uri></json:item></fulltext><metadata><istex:metadataXml wicri:clean="Elsevier, elements deleted: ce:floats; body; tail"><istex:xmlDeclaration>version="1.0" encoding="utf-8"</istex:xmlDeclaration><istex:docType PUBLIC="-//ES//DTD journal article DTD version 4.5.2//EN//XML" URI="art452.dtd" name="istex:docType"><istex:entity SYSTEM="gr1" NDATA="IMAGE" name="gr1"></istex:entity><istex:entity SYSTEM="gr2" NDATA="IMAGE" name="gr2"></istex:entity><istex:entity SYSTEM="gr3" NDATA="IMAGE" name="gr3"></istex:entity><istex:entity SYSTEM="gr4" NDATA="IMAGE" name="gr4"></istex:entity><istex:entity SYSTEM="gr5" NDATA="IMAGE" name="gr5"></istex:entity><istex:entity SYSTEM="gr6" NDATA="IMAGE" name="gr6"></istex:entity><istex:entity SYSTEM="gr7" NDATA="IMAGE" name="gr7"></istex:entity><istex:entity SYSTEM="gr8" NDATA="IMAGE" name="gr8"></istex:entity><istex:entity SYSTEM="gr9" NDATA="IMAGE" name="gr9"></istex:entity></istex:docType><istex:document><converted-article version="4.5.2" docsubtype="fla"><item-info><jid>WAMOT</jid><aid>1032</aid><ce:pii>S0165-2125(01)00073-7</ce:pii><ce:doi>10.1016/S0165-2125(01)00073-7</ce:doi><ce:copyright type="full-transfer" year="2001">Elsevier Science B.V.</ce:copyright></item-info><head><ce:title>Identification of the acoustic resonances of absorbing cylinders using phase gradient and Argand diagram methods</ce:title><ce:author-group><ce:author><ce:given-name>Hervé</ce:given-name><ce:surname>Franklin</ce:surname></ce:author><ce:author><ce:given-name>Jean-Marc</ce:given-name><ce:surname>Conoir</ce:surname></ce:author><ce:author><ce:given-name>Jean-Louis</ce:given-name><ce:surname>Izbicki</ce:surname><ce:cross-ref refid="CORR1">*</ce:cross-ref><ce:e-address>izbicki@iut.univ-lehavre.fr</ce:e-address></ce:author><ce:affiliation><ce:textfn>Laboratoire d’Acoustique Ultrasonore et d’Electronique, LAUE, UPRESA 6068, Université du Havre, Place Robert Schuman, F-76610 Le Havre, France</ce:textfn></ce:affiliation><ce:correspondence id="CORR1"><ce:label>*</ce:label><ce:text>Corresponding author. Tel.: +33-2-32-797218; fax: +33-2-32-797219</ce:text></ce:correspondence></ce:author-group><ce:date-received day="29" month="2" year="2000"></ce:date-received><ce:date-revised day="11" month="7" year="2000"></ce:date-revised><ce:date-accepted day="14" month="7" year="2000"></ce:date-accepted><ce:abstract><ce:section-title>Abstract</ce:section-title><ce:abstract-sec><ce:simple-para>The properties of the acoustic resonances of a submerged absorbing elastic cylinder are investigated with the help of a two-channel scattering resonance formalism. In the elastic channel, different transition terms describing the resonance properties are compared. The scattering phase and its derivative with respect to the frequency are also studied thoroughly. Approximate formulae, involving different resonance widths, are given for the transition terms, the phase and its derivative. Argand diagrams of the transition terms are provided, summarising the characteristic quantities of the absorption phenomenon, i.e. the absorption coefficient, the phase and the resonance widths.</ce:simple-para></ce:abstract-sec></ce:abstract></head></converted-article></istex:document></istex:metadataXml><mods version="3.6"><titleInfo><title>Identification of the acoustic resonances of absorbing cylinders using phase gradient and Argand diagram methods</title></titleInfo><titleInfo type="alternative" contentType="CDATA"><title>Identification of the acoustic resonances of absorbing cylinders using phase gradient and Argand diagram methods</title></titleInfo><name type="personal"><namePart type="given">Hervé</namePart><namePart type="family">Franklin</namePart><affiliation>Laboratoire d’Acoustique Ultrasonore et d’Electronique, LAUE, UPRESA 6068, Université du Havre, Place Robert Schuman, F-76610 Le Havre, France</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Jean-Marc</namePart><namePart type="family">Conoir</namePart><affiliation>Laboratoire d’Acoustique Ultrasonore et d’Electronique, LAUE, UPRESA 6068, Université du Havre, Place Robert Schuman, F-76610 Le Havre, France</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Jean-Louis</namePart><namePart type="family">Izbicki</namePart><affiliation>Laboratoire d’Acoustique Ultrasonore et d’Electronique, LAUE, UPRESA 6068, Université du Havre, Place Robert Schuman, F-76610 Le Havre, France</affiliation><affiliation>E-mail: izbicki@iut.univ-lehavre.fr</affiliation><description>Corresponding author. Tel.: +33-2-32-797218; fax: +33-2-32-797219</description><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="Full-length article"></genre><originInfo><publisher>ELSEVIER</publisher><dateIssued encoding="w3cdtf">2001</dateIssued><dateModified encoding="w3cdtf">2000-07-11</dateModified><copyrightDate encoding="w3cdtf">2001</copyrightDate></originInfo><language><languageTerm type="code" authority="iso639-2b">eng</languageTerm><languageTerm type="code" authority="rfc3066">en</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType></physicalDescription><abstract lang="en">The properties of the acoustic resonances of a submerged absorbing elastic cylinder are investigated with the help of a two-channel scattering resonance formalism. In the elastic channel, different transition terms describing the resonance properties are compared. The scattering phase and its derivative with respect to the frequency are also studied thoroughly. Approximate formulae, involving different resonance widths, are given for the transition terms, the phase and its derivative. Argand diagrams of the transition terms are provided, summarising the characteristic quantities of the absorption phenomenon, i.e. the absorption coefficient, the phase and the resonance widths.</abstract><note type="content">Fig. 1: Functions ∣Te(x)∣2 (solid line) and ∣Ta(x)∣2 (dotted line) plotted versus frequency x for mode n=1.</note><note type="content">Fig. 2: Exact (solid line) and approximate (dotted line) functions ∣Te(x)∣2 plotted versus frequency x for resonances (1,3) and (1,4).</note><note type="content">Fig. 3: Exact (solid line) and approximate (dotted line) functions ∣ T ̄e(x)∣2 plotted versus frequency x for resonances (1,3) and (1,4).</note><note type="content">Fig. 4: Exact (solid line) and approximate (dotted line) function ∣TeR(x)∣2 plotted versus frequency x for resonances (1,3) and (1,4).</note><note type="content">Fig. 5: Absorbing phase δ(x) (solid line) and nonabsorbing phase δel(x) (dotted line) plotted versus frequency x for mode n=1.</note><note type="content">Fig. 6: Absorbing phase δ(x) plotted versus frequency x for resonances (1,3) and (1,4): exact (solid line); Eq. (26) in Fig. 6(a) and Eq. (30) in Fig. 6(b) (dotted line); Eq. (32) (dashed line).</note><note type="content">Fig. 7: Exact phase derivative dδ(x)/dx plotted versus frequency x for mode n=1.</note><note type="content">Fig. 8: Argand diagrams of resonance (1,4) related to the transition terms Te(x) (inner circle) and T ̄e(x) (outer circle).</note><note type="content">Fig. 9: Argand diagrams of resonance (1,3) related to the transition terms Te(x) (circle) and T ̄e(x) (arc of circle).</note><relatedItem type="host"><titleInfo><title>Wave Motion</title></titleInfo><titleInfo type="abbreviated"><title>WAMOT</title></titleInfo><genre type="journal">journal</genre><originInfo><dateIssued encoding="w3cdtf">200107</dateIssued></originInfo><identifier type="ISSN">0165-2125</identifier><identifier type="PII">S0165-2125(00)X0054-6</identifier><part><date>200107</date><detail type="volume"><number>34</number><caption>vol.</caption></detail><detail type="issue"><number>2</number><caption>no.</caption></detail><extent unit="issue pages"><start>143</start><end>237</end></extent><extent unit="pages"><start>143</start><end>159</end></extent></part></relatedItem><identifier type="istex">BA4F51E6FCB4F6E76DCEE11356DDE410C75D7590</identifier><identifier type="DOI">10.1016/S0165-2125(01)00073-7</identifier><identifier type="PII">S0165-2125(01)00073-7</identifier><accessCondition type="use and reproduction" contentType="copyright">©2001 Elsevier Science B.V.</accessCondition><recordInfo><recordContentSource>ELSEVIER</recordContentSource><recordOrigin>Elsevier Science B.V., ©2001</recordOrigin></recordInfo></mods></metadata><enrichments><istex:catWosTEI uri="https://api.istex.fr/document/BA4F51E6FCB4F6E76DCEE11356DDE410C75D7590/enrichments/catWos"><teiHeader><profileDesc><textClass><classCode scheme="WOS">MECHANICS</classCode><classCode scheme="WOS">ACOUSTICS</classCode><classCode scheme="WOS">PHYSICS</classCode><classCode scheme="WOS">PHYSICS, MULTIDISCIPLINARY</classCode></textClass></profileDesc></teiHeader></istex:catWosTEI></enrichments><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
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