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Comparisons of two effective medium approaches for predicting sound scattering by periodic arrays of elastic shells

Umnova, O, Krynkin, A, Chong, AY, Taherzadeh, S and Attenborough, K 2013, 'Comparisons of two effective medium approaches for predicting sound scattering by periodic arrays of elastic shells' , The Journal of the Acoustical Society of America (JASA), 134 (5) , pp. 3619-3630.

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Abstract

Two effective medium models are presented and used to predict complex reflection and transmission coefficients of finite periodic arrays of resonant elastic shells as well as their effective density and bulk modulus at low frequencies. Comparisons with full multiple scattering theory and measurements show that the self-consistent model fails to correctly predict the shape of the transmission/reflection curves when scatterer resonances are close to the first Bragg bandgap. The low frequency grating model, which neglects the evanescent modes and considers scattered wave propagation only in the same direction as the incident one, gives a much better agreement with both measurements and the full multiple scattering theory. Moreover, because it does not require the wavelength to strongly exceed the size of scatterers, the model gives reliable predictions even at frequencies around the first periodicity related bandgap. In contrast to the self-consistent model, the low frequency grating model is applicable when the resonant scatterers have more than two low frequency resonances.

Item Type: Article
Schools: Schools > School of Computing, Science and Engineering
Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre (SIRC)
Journal or Publication Title: The Journal of the Acoustical Society of America (JASA)
Publisher: Acoustical Society of America
Refereed: Yes
ISSN: 0001-4966
Funders: Engineering and Physical Sciences Research Council (EPSRC)
Depositing User: O Umnova
Date Deposited: 28 May 2015 09:57
Last Modified: 29 Oct 2015 00:23
URI: http://usir.salford.ac.uk/id/eprint/34526

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