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Poles and Zeros of the Plane Wave Reflection Coefficient for Porous Surfaces

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A study of the location of the singularities of the reflection coefficient, and the related acoustic fields, at the plane contact surface between a fluid layer and a porous layer, is performed in two cases. In the first case, the porous layer is thin (the product of the thickness by the wavenumber is much smaller than one), and the layer is set on an impervious rigid backing. In a second case, the porous layer is semi-infinite. In the first case, one of the poles, predicted after more approximations, is related to a slightly inhomogeneous wave in air which has recently been observed by nearfield acoustical holography. In the second case, it is shown that the singularity is related to a zero of the reflection coefficient observable at high frequencies. New results concerning the location of the pole relative to the steepest integration path can be obtained from a physical model of sound propagation in the porous medium.
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Document Type: Research Article

Publication date: 1997-11-01

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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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