Harnessing Geometric Frustration to Form Band Gaps in Acoustic Channel Lattices

Wang, Pai; Zheng, Yue; Fernandes, Matheus C.; Sun, Yushen; Xu, Kai‐Da; Sun, Sijie; Kang, Sung Hoon; Tournat, Vincent; Bertoldi, Katia

doi:10.1103/physrevlett.118.084302

Cited by 30 publications

(17 citation statements)

References 42 publications

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“…This study represents the first step towards the investigation of large amplitude waves in beam lattices in 2D and 3D. While periodic lattices have recently attracted considerable interest because of their ability to tailor the propagation of linear elastic waves through directional transmissions and band gaps (frequency ranges of strong wave attenuation) [39][40][41][42][43], comparatively little is known about their nonlinear behaviors under high-amplitude impacts [20]. The results presented in this paper provide useful guidelines for future explorations of the propagation of nonlinear waves in lattice materials.…”

Section: Discussionmentioning

confidence: 99%

Propagation of elastic solitons in chains of pre-deformed beams

Deng

Zhang

et al. 2019

New J. Phys.

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We use a combination of experiments, numerical analysis and theory to investigate the nonlinear dynamic response of a chain of precompressed elastic beams. Our results show that this simple system offers a rich platform to study the propagation of large amplitude waves. Compression waves are strongly dispersive, whereas rarefaction pulses propagate in the form of solitons. Further, we find that the model describing our structure closely resembles those introduced to characterize the dynamics of several molecular chains and macromolecular crystals, suggesting that our macroscopic system can provide insights into the effect of nonlinear vibrations on molecular mechanisms.

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Section: Discussionmentioning

confidence: 99%

Propagation of elastic solitons in chains of pre-deformed beams

Deng

Zhang

et al. 2019

New J. Phys.

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“…To obtain the discrete equation (1), we assume that only the planar mode is propagating (i.e. R t /L = 1) in the acoustic waveguide, allowing us to write down the acoustic particle velocity at any end of the channel as a function of the pressure at both ends [36,37]. For example, as shown schematically in the right part of figure A1, we may write that…”

Section: Discussionmentioning

confidence: 99%

“…To obtain the governing equations and the dispersion properties for the acoustic network, we adopt the methodology initially proposed in 2D lattices of tubes [35] and further developed in 2D acoustic channels of lattice structures [36,37]. We assume that sound wave propagation between junctions is well described as monomode propagation (plane wave approximation) as long as the radius of the air channels is much smaller than the distance between the two junctions A and B, i.e.…”

Section: Exact Acoustic Analog Of Graphenementioning

confidence: 99%

Acoustic graphene network loaded with Helmholtz resonators: a first-principle modeling, Dirac cones, edge and interface waves

et al. 2020

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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.

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“…Soon, people realized that similar phenomena are not restricted to quantum systems, and nontrivial topology can also bring exciting phenomena and results in classical wave systems. Recently, classical analogs of QSH and QVH insulators were predicted and verified both theoretically and experimentally in electromagnetic [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18], acoustic [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33], elastic [34][35][36][37][38][39][40][41][42][43], and even water surface wave systems [44]. Very recently, robust and high-capacity phononic communications were realized in the context of Lamb waves through topological edge states by multiplexing the pseudospin and valley indices [43].…”

Section: Introductionmentioning

confidence: 99%

Acoustic topological devices based on emulating and multiplexing of pseudospin and valley indices

Gao

Mei

2020

New J. Phys.

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We present a design paradigm for acoustic devices in which robust and controllable transport of wave signals can be realized. These devices are based on a simple acoustic platform, where different topological phases such as acoustic quantum spin Hall and quantum valley Hall insulators are emulated by engineering the spatial symmetries of the structure. Edge states along interfaces between different topological phases are shown to be promising information channels, where the multiplexing of pseudospin and/or valley degrees of freedom is unambiguously demonstrated in various devices including a multiport valve for acoustic power dividing and feeding. The information capacity in the input channel is substantially enhanced due to the creating of an extra dimension for the data carriers. The topological devices proposed here, when integrated with other state-of-the-art communication techniques, may suggest a significant step towards acoustic communication circuits with complex functionalities.

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Harnessing Geometric Frustration to Form Band Gaps in Acoustic Channel Lattices

Cited by 30 publications

References 42 publications

Propagation of elastic solitons in chains of pre-deformed beams

Propagation of elastic solitons in chains of pre-deformed beams

Acoustic graphene network loaded with Helmholtz resonators: a first-principle modeling, Dirac cones, edge and interface waves

Acoustic topological devices based on emulating and multiplexing of pseudospin and valley indices

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