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Scattering by coupled resonating elements in air

Krynkin, Anton; Umnova, Olga; Chong, Alvin Y. B.; Taherzadeh, Shahram and Attenborough, Keith (2011). Scattering by coupled resonating elements in air. Journal of Physics D: Applied Physics, 44 pp. 125501–125513.

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DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1088/0022-3727/44/12/125501
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Abstract

Scattering by (a) a single composite scatterer consisting of a concentric arrangement of an outer N-slit rigid cylinder and an inner cylinder which is either rigid or in the form of a thin elastic shell and (b) by a finite periodic array of these scatterers in air has been investigated analytically and through laboratory experiments. The composite scatterer forms a system of coupled resonators and gives rise to multiple low-frequency resonances. The corresponding analytical model employs polar angle dependent boundary conditions on the surface of the N-slit cylinder. The solution inside the slits assumes plane waves. It is shown also that in the low-frequency range the N-slit rigid cylinder can be replaced by an equivalent fluid layer. Further approximations suggest a simple square root dependence of the resonant frequencies on the number of slits and this is confirmed by data. The observed resonant phenomena are associated with Helmholtz-like behaviour of the resonator for which the radius and width of the openings are much smaller than the wavelength. The problem of scattering by a finite periodic array of such coupled resonators in air is solved using multiple scattering techniques. The resulting model predicts band-gap effects resulting from the resonances of the individual composite scatterers below the first Bragg frequency. Predictions and data confirm that use of coupled resonators results in substantial insertion loss peaks related to the resonances within the concentric configuration. In addition, for both scattering problems experimental data, predictions of the analytical approach and predictions of the equivalent fluid layer approximations are compared in the low-frequency interval.

Item Type: Journal Article
Copyright Holders: 2011 IOP Publishing Ltd.
ISSN: 1361-6463
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetNot SetEPSRC
Keywords: condensed matter: structural, mechanical & thermal
Academic Unit/Department: Mathematics, Computing and Technology > Engineering & Innovation
Item ID: 31594
Depositing User: Users 8259 not found.
Date Deposited: 01 Feb 2012 17:20
Last Modified: 26 Nov 2014 09:20
URI: http://oro.open.ac.uk/id/eprint/31594
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