Edge waves in plates with resonators: an elastic analogue of the quantum valley Hall effect
By R. Pal, Massimo Ruzzene. 2016
348 citations recorded by the source corpus.
We investigate elastic periodic structures characterized by topologically nontrivial bandgaps supporting backscattering suppressed edge waves. These edge waves are topologically protected and are obtained by breaking inversion symmetry within the unit cell. Examples for discrete one and two-dimensional lattices elucidate the concept and illustrate parallels with the quantum valley Hall effect. The concept is implemented on an elastic plate featuring an array of resonators arranged according to a hexagonal topology. The resulting continuous structures have non-trivial bandgaps supporting edge waves at the interface between two media with different topological invariants. The topological properties of the considered configurations are predicted by unit cell and finite strip dispersion analyses. Numerical simulations demonstrate edge wave propagation for excitation at frequencies belonging to the bulk bandgaps. The considered plate configurations define a framework for the implementation of topological concepts on continuous elastic structures of potential engineering relevance.
Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/dddc476bc0adaf6dedff4e4c8bc14a6e7418fcaa
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In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Topological Acoustic Delay Line (2018, background): “It can lead to helical edge states in the presence of domains walls where themass (ΔP) changes sign [32,50].”
- Experimental Observation of Topologically Protected Helical Edge Modes in Patterned Elastic Plates (2018, background): “This is conveniently achieved by breaking spatial inversion symmetry at the unit cell level, which is an approach that has been successfully applied for flexural waves in plates [25,26] as well as in mechanical lattices with resonators [27].”
- Topological Photonic Crystals: Physics, Designs, and Applications (2022, background): “Recently, topology has been widely applied in different fields, including condensed matter [1-6], cold atom [7, 8], acoustics [9-13] and mechanics [14-16].”