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Acoustic wave propagation through a triply periodic lattice of arbitrary shape scatterers

Guo, S.

Authors

S. Guo



Abstract

Acoustic wave propagation through a triply periodic array of arbitrary shape scatterers is considered by the method of matched asymptotic expansions. It is assumed that the scatterer size is much smaller than both the wavelength and the array periodicity but no restriction on the wavelength relative to the periodicity. Therefore, it is possible to examine the phenomena associated with periodic media such as band gaps. This is illustrated with simple cubic and body-centred cubic lattices.

Citation

Guo, S. (2014). Acoustic wave propagation through a triply periodic lattice of arbitrary shape scatterers. Quarterly Journal of Mechanics and Applied Mathematics, 68(1), doi:10.1093/qjmam/hbu020

Journal Article Type Article
Acceptance Date Jul 20, 2014
Publication Date Sep 25, 2014
Deposit Date Nov 3, 2017
Journal Quarterly Journal of Mechanics and Applied Mathematics
Print ISSN 0033-5614
Electronic ISSN 0033-5614
Publisher Oxford University Press (OUP)
Peer Reviewed Peer Reviewed
Volume 68
Issue 1
DOI https://doi.org/10.1093/qjmam/hbu020
Public URL http://eprints.nottingham.ac.uk/id/eprint/47757
Publisher URL https://academic.oup.com/qjmam/article-lookup/doi/10.1093/qjmam/hbu020

This file is under embargo due to copyright reasons.


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