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Submerged plane layered isotropic media: Properties of the scattering matrix eigenvalues with application to bilayers (L)

J. Acoust. Soc. Am. Volume 116, Issue 4, pp. 1893-1896 (2004); (4 pages)

Hervé Franklin, Jean-Louis Izbicki, Teddy Marie-Françoise, and Pascal Rembert

Laboratoire d’Acoustique Ultrasonore et d’Electronique (LAUE) UMR CNRS 6068, Université du Havre, Place Robert Schuman, 76610 Le Havre, France

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The plot of the transmission coefficient moduli cannot be used to analyze all the resonances of layered structures because of the overlapping of the resonances. A method using the scattering matrix eigenvalues is presented. It allows, first, to annihilate the overlapping and to recover the resonance positions and half-widths and second, to divide in two independent sets most of the resonances involved in symmetric structures as well as in nonsymmetric ones. Comparisons between the results provided by the method and those coming from the poles of the transmission coefficient agree. In many cases, the transition terms constitute a generalization of the transmission coefficients. © 2004 Acoustical Society of America.

© 2004 Acoustical Society of America

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KEYWORDS and PACS

PACS

  • 43.20.Ks

    Standing waves, resonance, normal modes

  • 43.20.Fn

    Scattering of acoustic waves

  • 43.40.Dx

    Vibrations of membranes and plates

ARTICLE DATA

History
Received 19 Apr 2004
Accepted 06 Jul 2004
Revised 05 Jul 2004

PUBLICATION DATA

ISSN

0001-4966 (print)  

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