Surface acoustic waves in two dimensional phononic crystal with anisotropic inclusions
An analysis is given to the band structure of the two dimensional solid phononic crystal considered as a semi infinite medium. The lattice includes an array of elastic anisotropic materials with different shapes embedded in a uniform matrix. For illustration two kinds of phononic materials are assum...
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EDP Sciences
2012-06-01
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Online Access: | http://dx.doi.org/10.1051/epjconf/20122900043 |
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doaj-7964d5d248c54b4e873e6d2067a480432021-08-02T01:48:19ZengEDP SciencesEPJ Web of Conferences2100-014X2012-06-01290004310.1051/epjconf/20122900043Surface acoustic waves in two dimensional phononic crystal with anisotropic inclusionsKetata H.Ghozlen M. Hédi BenAn analysis is given to the band structure of the two dimensional solid phononic crystal considered as a semi infinite medium. The lattice includes an array of elastic anisotropic materials with different shapes embedded in a uniform matrix. For illustration two kinds of phononic materials are assumed. A particular attention is devoted to the computational procedure which is mainly based on the plane wave expansion (PWE) method. It has been adapted to Matlab environment. Numerical calculations of the dispersion curves have been achieved by introducing particular functions which transform motion equations into an Eigen value problem. Significant improvements are obtained by increasing reasonably the number of Fourier components even when a large elastic mismatch is assumed. Such approach can be generalized to different types of symmetry and permit new physical properties as piezoelectricity to be added. The actual semi infinite phononic structure with a free surface has been shown to support surface acoustic waves (SAW). The obtained dispersion curves reveal band gaps in the SAW branches. It has been found that the influence, of the filling factor and anisotropy on their band gaps, is different from that of bulk waves. http://dx.doi.org/10.1051/epjconf/20122900043Phononic crystalsSurface acoustic waveBand gap |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ketata H. Ghozlen M. Hédi Ben |
spellingShingle |
Ketata H. Ghozlen M. Hédi Ben Surface acoustic waves in two dimensional phononic crystal with anisotropic inclusions EPJ Web of Conferences Phononic crystals Surface acoustic wave Band gap |
author_facet |
Ketata H. Ghozlen M. Hédi Ben |
author_sort |
Ketata H. |
title |
Surface acoustic waves in two dimensional phononic crystal with anisotropic inclusions |
title_short |
Surface acoustic waves in two dimensional phononic crystal with anisotropic inclusions |
title_full |
Surface acoustic waves in two dimensional phononic crystal with anisotropic inclusions |
title_fullStr |
Surface acoustic waves in two dimensional phononic crystal with anisotropic inclusions |
title_full_unstemmed |
Surface acoustic waves in two dimensional phononic crystal with anisotropic inclusions |
title_sort |
surface acoustic waves in two dimensional phononic crystal with anisotropic inclusions |
publisher |
EDP Sciences |
series |
EPJ Web of Conferences |
issn |
2100-014X |
publishDate |
2012-06-01 |
description |
An analysis is given to the band structure of the two dimensional solid phononic crystal considered as a semi infinite medium. The lattice includes an array of elastic anisotropic materials with different shapes embedded in a uniform matrix. For illustration two kinds of phononic materials are assumed. A particular attention is devoted to the computational procedure which is mainly based on the plane wave expansion (PWE) method. It has been adapted to Matlab environment. Numerical calculations of the dispersion curves have been achieved by introducing particular functions which transform motion equations into an Eigen value problem. Significant improvements are obtained by increasing reasonably the number of Fourier components even when a large elastic mismatch is assumed. Such approach can be generalized to different types of symmetry and permit new physical properties as piezoelectricity to be added. The actual semi infinite phononic structure with a free surface has been shown to support surface acoustic waves (SAW). The obtained dispersion curves reveal band gaps in the SAW branches. It has been found that the influence, of the filling factor and anisotropy on their band gaps, is different from that of bulk waves. |
topic |
Phononic crystals Surface acoustic wave Band gap |
url |
http://dx.doi.org/10.1051/epjconf/20122900043 |
work_keys_str_mv |
AT ketatah surfaceacousticwavesintwodimensionalphononiccrystalwithanisotropicinclusions AT ghozlenmhediben surfaceacousticwavesintwodimensionalphononiccrystalwithanisotropicinclusions |
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1721244397142540288 |