Beam path and focusing of flexural Lamb waves within phononic crystal-based acoustic lenses
We describe an analytical approach that allows calculating the trajectories of an elastic beam within a two-dimensional phononic crystal-based gradient index medium. The formalism takes into account the anisotropy along the lines of inclusions where the equi-frequency contours may depart from a circ...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2014-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/16/6/063031 |
| _version_ | 1797751381450293248 |
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| author | J Zhao B Bonello R Marchal O Boyko |
| author_facet | J Zhao B Bonello R Marchal O Boyko |
| author_sort | J Zhao |
| collection | DOAJ |
| description | We describe an analytical approach that allows calculating the trajectories of an elastic beam within a two-dimensional phononic crystal-based gradient index medium. The formalism takes into account the anisotropy along the lines of inclusions where the equi-frequency contours may depart from a circle. We then report on a numerical and experimental study of the focusing of flexural Lamb waves in gradient-indexed phononic crystals. The silicon/air heterostructures that we considered for this work features an index that is obtained through the modulation along one axis of either the diameter of the air inclusions or their spacing. In both cases, numerical and experimental results agree very well. The formalism that we have developed explains well the location, shape and size of the focus in either system. |
| first_indexed | 2024-03-12T16:48:39Z |
| format | Article |
| id | doaj.art-796bef423eef43698d6d7ba3d9feb8f9 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:48:39Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-796bef423eef43698d6d7ba3d9feb8f92023-08-08T11:27:56ZengIOP PublishingNew Journal of Physics1367-26302014-01-0116606303110.1088/1367-2630/16/6/063031Beam path and focusing of flexural Lamb waves within phononic crystal-based acoustic lensesJ Zhao0B Bonello1R Marchal2O Boyko3UPMC Univ Paris 06 , UMR 7588, Institut des NanoSciences de Paris, F-75005, Paris, FranceCNRS, UMR 7588, Institut des NanoSciences de Paris, F-75005, Paris, FranceUPMC Univ Paris 06 , UMR 7588, Institut des NanoSciences de Paris, F-75005, Paris, FranceUPMC Univ Paris 06 , UMR 7588, Institut des NanoSciences de Paris, F-75005, Paris, FranceWe describe an analytical approach that allows calculating the trajectories of an elastic beam within a two-dimensional phononic crystal-based gradient index medium. The formalism takes into account the anisotropy along the lines of inclusions where the equi-frequency contours may depart from a circle. We then report on a numerical and experimental study of the focusing of flexural Lamb waves in gradient-indexed phononic crystals. The silicon/air heterostructures that we considered for this work features an index that is obtained through the modulation along one axis of either the diameter of the air inclusions or their spacing. In both cases, numerical and experimental results agree very well. The formalism that we have developed explains well the location, shape and size of the focus in either system.https://doi.org/10.1088/1367-2630/16/6/063031phononic crystalfocusingray trajectoryLamb wavesanisotropy43.20+g |
| spellingShingle | J Zhao B Bonello R Marchal O Boyko Beam path and focusing of flexural Lamb waves within phononic crystal-based acoustic lenses New Journal of Physics phononic crystal focusing ray trajectory Lamb waves anisotropy 43.20+g |
| title | Beam path and focusing of flexural Lamb waves within phononic crystal-based acoustic lenses |
| title_full | Beam path and focusing of flexural Lamb waves within phononic crystal-based acoustic lenses |
| title_fullStr | Beam path and focusing of flexural Lamb waves within phononic crystal-based acoustic lenses |
| title_full_unstemmed | Beam path and focusing of flexural Lamb waves within phononic crystal-based acoustic lenses |
| title_short | Beam path and focusing of flexural Lamb waves within phononic crystal-based acoustic lenses |
| title_sort | beam path and focusing of flexural lamb waves within phononic crystal based acoustic lenses |
| topic | phononic crystal focusing ray trajectory Lamb waves anisotropy 43.20+g |
| url | https://doi.org/10.1088/1367-2630/16/6/063031 |
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