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

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...

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Bibliographic Details
Main Author: Guo, S.
Format: Article
Published: Oxford University Press 2014
Online Access:https://eprints.nottingham.ac.uk/47757/
Description
Summary: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.