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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| Format: | Article |
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Oxford University Press
2014
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| Online Access: | https://eprints.nottingham.ac.uk/47757/ |
| _version_ | 1848797622795501568 |
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| author | Guo, S. |
| author_facet | Guo, S. |
| author_sort | Guo, S. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:06:49Z |
| format | Article |
| id | nottingham-47757 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:06:49Z |
| publishDate | 2014 |
| publisher | Oxford University Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-477572020-04-29T15:06:53Z https://eprints.nottingham.ac.uk/47757/ Acoustic wave propagation through a triply periodic lattice of arbitrary shape scatterers Guo, S. 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. Oxford University Press 2014-09-25 Article PeerReviewed Guo, S. (2014) Acoustic wave propagation through a triply periodic lattice of arbitrary shape scatterers. Quarterly Journal of Mechanics and Applied Mathematics, 68 (1). pp. 1-22. ISSN 0033-5614 https://academic.oup.com/qjmam/article-lookup/doi/10.1093/qjmam/hbu020 doi:10.1093/qjmam/hbu020 doi:10.1093/qjmam/hbu020 |
| spellingShingle | Guo, S. Acoustic wave propagation through a triply periodic lattice of arbitrary shape scatterers |
| title | Acoustic wave propagation through a triply periodic lattice of arbitrary shape scatterers |
| title_full | Acoustic wave propagation through a triply periodic lattice of arbitrary shape scatterers |
| title_fullStr | Acoustic wave propagation through a triply periodic lattice of arbitrary shape scatterers |
| title_full_unstemmed | Acoustic wave propagation through a triply periodic lattice of arbitrary shape scatterers |
| title_short | Acoustic wave propagation through a triply periodic lattice of arbitrary shape scatterers |
| title_sort | acoustic wave propagation through a triply periodic lattice of arbitrary shape scatterers |
| url | https://eprints.nottingham.ac.uk/47757/ https://eprints.nottingham.ac.uk/47757/ https://eprints.nottingham.ac.uk/47757/ |