Application of Fractional Calculus to the Sound Waves Propagation in Rigid Porous Materials: Validation Via Ultrasonic Measurements

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This paper starts by summarizing the basic equations of a theoretical model, recentely published by Fellah and Depollier [1], which describes the propagation of pulses in the time domain through a porous medium. In the field of absorbing acoustical porous media, the predictive equations have always been written in the frequency domain. The new method that is proposed is based on the concept of fractional derivatives. The added value of the present work consists in a fine experimental validation performed in plastic foams, sandy sediments and on multilayered porous materials.

Document Type: Research Article

Publication date: January 1, 2002

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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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