The complex phase gradient method applied to leaky Lamb waves.
Identifieur interne : 001557 ( Main/Exploration ); précédent : 001556; suivant : 001558The complex phase gradient method applied to leaky Lamb waves.
Auteurs : O. Lenoir [France] ; J M Conoir ; J L IzbickiSource :
- The Journal of the Acoustical Society of America [ 0001-4966 ] ; 2002.
Abstract
The classical phase gradient method applied to the characterization of the angular resonances of an immersed elastic plate, i.e., the angular poles of its reflection coefficient R, was proved to be efficient when their real parts are close to the real zeros of R and their imaginary parts are not too large compared to their real parts. This method consists of plotting the partial reflection coefficient phase derivative with respect to the sine of the incidence angle, considered as real, versus incidence angle. In the vicinity of a resonance, this curve exhibits a Breit-Wigner shape, whose minimum is located at the pole real part and whose amplitude is the inverse of its imaginary part. However, when the imaginary part is large, this method is not sufficiently accurate compared to the exact calculation of the complex angular root. An improvement of this method consists of plotting, in 3D, in the complex angle plane and at a given frequency, the angular phase derivative with respect to the real part of the sine of the incidence angle, considered as complex. When the angular pole is reached, the 3D curve shows a clear-cut transition whose position is easily obtained.
PubMed: 12398440
Affiliations:
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Lenoir</name><affiliation wicri:level="4"><nlm:affiliation>Laboratoire d'Acoustique Ultrasonore et d'Electronique, UMR CNRS 6068, Université du Havre, Le Havre, France.</nlm:affiliation><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire d'Acoustique Ultrasonore et d'Electronique, UMR CNRS 6068, Université du Havre, Le Havre</wicri:regionArea><placeName><settlement type="city">Le Havre</settlement></placeName><orgName type="university">Université du Havre</orgName><placeName><settlement type="city">Le Havre</settlement><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Haute-Normandie</region></placeName></affiliation></author><author><name sortKey="Conoir, J M" sort="Conoir, J M" uniqKey="Conoir J" first="J M" last="Conoir">J M Conoir</name></author><author><name sortKey="Izbicki, J L" sort="Izbicki, J L" uniqKey="Izbicki J" first="J L" last="Izbicki">J L Izbicki</name></author></analytic><series><title level="j">The Journal of the Acoustical Society of America</title><idno type="ISSN">0001-4966</idno><imprint><date when="2002" type="published">2002</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The classical phase gradient method applied to the characterization of the angular resonances of an immersed elastic plate, i.e., the angular poles of its reflection coefficient R, was proved to be efficient when their real parts are close to the real zeros of R and their imaginary parts are not too large compared to their real parts. This method consists of plotting the partial reflection coefficient phase derivative with respect to the sine of the incidence angle, considered as real, versus incidence angle. In the vicinity of a resonance, this curve exhibits a Breit-Wigner shape, whose minimum is located at the pole real part and whose amplitude is the inverse of its imaginary part. However, when the imaginary part is large, this method is not sufficiently accurate compared to the exact calculation of the complex angular root. An improvement of this method consists of plotting, in 3D, in the complex angle plane and at a given frequency, the angular phase derivative with respect to the real part of the sine of the incidence angle, considered as complex. When the angular pole is reached, the 3D curve shows a clear-cut transition whose position is easily obtained.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Haute-Normandie</li><li>Région Normandie</li></region><settlement><li>Le Havre</li></settlement><orgName><li>Université du Havre</li></orgName></list><tree><noCountry><name sortKey="Conoir, J M" sort="Conoir, J M" uniqKey="Conoir J" first="J M" last="Conoir">J M Conoir</name><name sortKey="Izbicki, J L" sort="Izbicki, J L" uniqKey="Izbicki J" first="J L" last="Izbicki">J L Izbicki</name></noCountry><country name="France"><noRegion><name sortKey="Lenoir, O" sort="Lenoir, O" uniqKey="Lenoir O" first="O" last="Lenoir">O. Lenoir</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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