Edge modes for flexural waves in quasi-periodic linear arrays of scatterers
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Title
Edge modes for flexural waves in quasi-periodic linear arrays of scatterersDate
2021-08-13Publisher
American Institute of PhysicsISSN
2166-532XBibliographic 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/10.1063/5.0059097Type
info:eu-repo/semantics/articlePublisher version
https://aip.scitation.org/doi/full/10.1063/5.0059097Version
info:eu-repo/semantics/publishedVersionSubject
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 ... [+]
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. [-]
Is part of
APL Materials, 2021, vol. 9, no 8Funder Name
Ministerio de Economía y Competitividad | Ministerio de Ciencia, Innovación y Universidades
Project code
MINECO/ICTI2013-2016/RYC-2016-21188 | MICINN/RTI2018-093921-A-C42 | FPU18/02725
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info:eu-repo/semantics/openAccess
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