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Note on Acoustic Pseudopotentials: Energy Viewpoint, Real Scatterers and Linear Arrays

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A study of scalar acoustic pseudopotentials and their connection to actual spherical scatterers is presented. The pseudopotential concept and the governing scattering equations are established through an alternative energy viewpoint from which the operator-based definition follows. Limiting formulas are derived for spherical acoustic scatterers with subwavelength size and it is shown that pseudopotentials can approximate only certain scattering types: impedance or soft impenetrable ones or penetrable ones having equal density but diff erent compressibility from the surrounding medium. The accuracy of the approximation is investigated numerically and mapped versus the scatterer size and distance of the observation point. As an application, the infinite linear periodic array of small spheres is considered and it is shown that the frequency dependence of a scatterer's responsivity to the incident field forbids the existence of traveling waves except in the cases of positive impedance scatterers or penetrable scatterers having the same density but higher compressibility than the surrounding medium.
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Document Type: Research Article

Publication date: 01 May 2011

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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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