REVIEW ARTICLES: Part 2: Dynamics and Vibration

Acoustic Scattering Resonances: Relation to External and Internal Surface Waves

[+] Author and Article Information
Herbert Überall

Department of Physics, Catholic University, Washington, DC 20064

Alain Gérard

Laboratoire de Mécanique Physique, University Bordeaux I, 33405 Talence, France

Ardéshir Guran

Electrical Engineering-Systems Department, University of Southern California, Los Angeles, CA 90089-2563

Jean Duclos

LAUE, URA-CNRS 1373, University of Le Havre, place Robert Schuman, 76610 Le Havre, France

Mohammed El Hocine Khelil

Institut National des Industries Manufacturières, 35000 Boumerdes, Algeria

X. L. Bao, P. K. Raju

Department of Mechanical Engineering, Auburn University, Auburn, AL 36849

Appl. Mech. Rev 49(10S), S63-S71 (Oct 01, 1996) doi:10.1115/1.3101979 History: Online April 20, 2009


The resonance scattering theory (RST) and the singularity expansion method (SEM) are both based on the complex-frequency poles of the scattering amplitude in the scattering of acoustic, elastic, or electromagnetic waves from elastic or impenetrable objects, or from cavities. These poles, situated off the real frequency axis at locations with negative imaginary parts, are found to yield, at the real frequencies of the experiments, prominent resonances for acoustic and elastic-wave scattering from elastic objects as discussed in our earlier review (Überall et al, Appl Mech Rev43 (10), 1990, 235). However, as the authors demonstrated before (Überall et al, J Acoust Soc Am61, 1977, 711), the origin of these resonances lies in the phase matching of circumferential or surface waves generated on the target objects during the scattering; hence a study of the resonances will lead to an understanding of, and information on these surface waves. This has been the topic of a large number of studies in recent years, and the results are summarized in the present review for immersed elastic target objects of plane, spherical, and cylindrical geometry, including both elastic-type and fluid-borne surface waves. For multilayered elastic structures, we also describe possible layer-resonance identifications based on acoustic and elastic-wave scattering experiments.

Copyright © 1996 by American Society of Mechanical Engineers
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