Acoustic graphene network loaded with Helmholtz resonators: A first-principle modeling, Dirac cones, edge and interface waves
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_Zheng_2020_New_J._Phys._22_013029.pdf
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ArticleAuthors
Zheng, Li Yang
Achilleos, Vassos
Chen, Ze Guo
Richoux, Olivier
Theocharis, Georgios
Wu, Ying

Mei, Jun

Felix, Simon
Tournat, Vincent
Pagneux, Vincent
KAUST Department
Applied Mathematics and Computational Science ProgramComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Waves in Complex Media Research Group
Date
2020-01-20Submitted Date
2019-08-25Permanent link to this record
http://hdl.handle.net/10754/662104
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In this work, we study the propagation of sound waves in a honeycomb waveguide network loaded with Helmholtz resonators (HRs). By using a plane wave approximation in each waveguide we obtain a first-principle modeling of the network, which is an exact mapping to the graphene tight-binding Hamiltonian. We show that additional Dirac points appear in the band diagram when HRs are introduced at the network nodes. It allows to break the inversion (sub-lattice) symmetry by tuning the resonators, leading to the appearence of edge modes that reflect the configuration of the zigzag boundaries. Besides, the dimerization of the resonators also permits the formation of interface modes located in the band gap, and these modes are found to be robust against symmetry preserving defects. Our results and the proposed networks reveal the additional degree of freedom bestowed by the local resonance in tuning the properties of not only acoustical graphene-like structures but also of more complex systems.Citation
Zheng, L.-Y., Achilleos, V., Chen, Z.-G., Richoux, O., Theocharis, G., Wu, Y., … Pagneux, V. (2020). Acoustic graphene network loaded with Helmholtz resonators: a first-principle modeling, Dirac cones, edge and interface waves. New Journal of Physics, 22(1), 013029. doi:10.1088/1367-2630/ab60f1Sponsors
This work has been funded by the APAMAS, Sine City LMac, and the Acoustic Hub projects.Publisher
IOP PublishingJournal
New Journal of PhysicsAdditional Links
https://iopscience.iop.org/article/10.1088/1367-2630/ab60f1ae974a485f413a2113503eed53cd6c53
10.1088/1367-2630/ab60f1
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