Methods of Isolation of Modal Resonances

[+] Author and Article Information
Naum Veksler

Institut d’Electronique et de Microélectronique du Nord, Département ISEN, laboratoire d’acoustique, 41 Boulevard Vauban, 59046, Lille Cedex, France

Jean-Louis Izbicki, Jean-Marc Conoir, Pascal Rembert

LAUE URA CNRS 1373, Université du Havre, Place Robert Schuman, 76610 Le Havre, France

Appl. Mech. Rev 51(7), 449-474 (Jul 01, 1998) (26 pages) doi:10.1115/1.3099015 History: Online April 20, 2009


The scattering problem by immersed targets involves the resonance phenomenon. Different methods of isolation of modal resonances are discussed: the Resonant Scattering Theory (the different backgrounds used in this method are considered), the phase gradient method (which is partly independent of the background choice), and the Argand diagram method (leading to both theoretical and experimental determination of the frequency and the width of resonances) and an exact description of the resonance components of partial modes (involving the determination of the roots of the characteristic equation in the complex frequency plane). The results provided by these methods are compared, their validity domain is discussed. Whatever the method, the resonant components appear as Breit-Wigner functions: this is the common point between the different methods. This review article includes 119 references.

Copyright © 1998 by American Society of Mechanical Engineers
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