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Edge modes for flexural waves in quasi-periodic linear arrays of scatterers
dc.contributor.author | Martí-Sabaté, Marc | |
dc.contributor.author | Torrent, Daniel | |
dc.date.accessioned | 2021-09-27T11:15:35Z | |
dc.date.available | 2021-09-27T11:15:35Z | |
dc.date.issued | 2021-08-13 | |
dc.identifier.citation | M. Martí-Sabaté and D. Torrent, “Edge modes for flexural waves in quasi-periodic linear arrays of scatterers,” APL Materials, 9, 081107 (2021). https://doi.org/10.1063/5.0059097 | ca_CA |
dc.identifier.issn | 2166-532X | |
dc.identifier.uri | http://hdl.handle.net/10234/194828 | |
dc.description.abstract | We present a multiple scattering analysis of robust interface states for flexural waves in thin elastic plates. We show that finite clusters of linear arrays of scatterers built on a quasi-periodic arrangement support bounded modes in the two-dimensional space of the plate. The spectrum of these modes plotted against the modulation defining the quasi-periodicity has the shape of a Hofstadter butterfly, which as suggested by previous works might support topologically protected modes. Some interface states appear inside the gaps of the butterfly, which are enhanced when one linear cluster is merged with its mirror reflected version. The robustness of these modes is verified by numerical experiments in which different degrees of disorder are introduced in the scatterers, showing that neither the frequency nor the shape of the modes is altered. Since the modes are at the interface between two one-dimensional arrays of scatterers deposited on a two-dimensional space, these modes are not fully surrounded by bulk gaped materials so that they are more suitable for their excitation by propagating waves. The generality of these results goes beyond flexural waves since similar results are expected for acoustic or electromagnetic waves. | ca_CA |
dc.format.extent | 6 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | American Institute of Physics | ca_CA |
dc.relation.isPartOf | APL Materials, 2021, vol. 9, no 8 | ca_CA |
dc.rights.uri | http://creativecommons.org/licenses/by-sa/4.0/ | ca_CA |
dc.subject | scattering problem | ca_CA |
dc.subject | fractals | ca_CA |
dc.subject | generalized functions | ca_CA |
dc.subject | surface acoustic waves | ca_CA |
dc.subject | energy harvester | ca_CA |
dc.subject | flexural waves | ca_CA |
dc.subject | multiple scattering theory | ca_CA |
dc.subject | electromagnetism | ca_CA |
dc.subject | mechanical waves | ca_CA |
dc.subject | flexural rigidity | ca_CA |
dc.title | Edge modes for flexural waves in quasi-periodic linear arrays of scatterers | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1063/5.0059097 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://aip.scitation.org/doi/full/10.1063/5.0059097 | ca_CA |
dc.description.sponsorship | D.T. acknowledges financial support from the “Ramón y Cajal” Fellowship under Grant No. RYC-2016-21188 and the Ministry of Science, Innovation and Universities through Project No. RTI2018-093921-A-C42. M.M.-S. acknowledges financial support from the FPU program under Grant No. FPU18/02725. | |
dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
project.funder.name | Ministerio de Economía y Competitividad | ca_CA |
project.funder.name | Ministerio de Ciencia, Innovación y Universidades | ca_CA |
oaire.awardNumber | MINECO/ICTI2013-2016/RYC-2016-21188 | ca_CA |
oaire.awardNumber | MICINN/RTI2018-093921-A-C42 | ca_CA |
oaire.awardNumber | FPU18/02725 |
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