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Experimental Determination of Acoustic Resonance Width via the Argand Diagram

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A new method to determine the elastic resonance characteristics (the resonance frequency and the associated width) of acoustic targets imbedded in a fluid medium is presented. The basic idea is that the resonant pressure exhibits a Breit-Wigner spectral form as the Resonance Scattering Theory (R.S.T.) has previously shown. This typical resonant shape obeys a complex expression whose presentation in the complex pressure plane (the Argand diagram of the resonance) has useful mathematical singularities.

The theoretical characteristics of an elastic resonance can be obtained using only the geometrical properties of the Breit-Wigner form. Furthermore, this determination does not need the equation of the background to be invoked.

From the experimental point of view, the same approach is possible. However, the sampling and the time limited recording of a temporal signal modify in a non linear way the expected resonant spectrum. Hence, the temporal resonance duration alters the aspect of the Breit-Wigner resonant form. As a result, because of the presence of this supplementary factor, the experimental determination of the resonance characteristics becomes more complicated. Nevertheless, a procedure is proposed and the experimental results agree with the theoretical ones.
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Document Type: Research Article

Publication date: March 1, 1998

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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