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Physically Admissible Impedance Models for Time-Domain Computations of Outdoor Sound Propagation

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Conditions for an impedance model to be physically admissible are checked for some popular models in the outdoor sound propagation community. They require that the definition of the impedance model is extended in the whole complex plane and that its inverse Fourier transform is real, causal and passive. For the many impedance models that are written as the square-root of a rational function, such as the Zwikker and Kosten model, the four-parameter Attenborough model and the Hamet and BĂ©rengier model, these conditions are shown to be satisfied for a semi-infinite ground and for a rigidly backed layer. The case of polynomial type models is then investigated. The Delany and Bazley model is not physically admissible as it is real or causal depending on its extension in the complex plane, but it can not simultaneously fulfill both conditions. The Miki model for a rigidly backed layer does not satisfy also the passivity condition as its real part is negative for low frequencies. A new polynomial model is thus proposed and is shown to be physically admissible.
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Document Type: Research Article

Publication date: May 1, 2014

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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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