Broadband Frequency and Spatial On-Demand Tailoring of Topological Wave Propagation Harnessing Piezoelectric Metamaterials
arXiv:2009.12183 · doi:10.3389/fmats.2020.602996
Abstract
Recent studies have developed tunable topological elastic metamaterials to maximize performance in the presence of varying external conditions, adapt to changing operating requirements, and enable new functionalities such as a programmable wave path. However, a challenge remains to achieve a tunable topological metamaterial that is comprehensively adaptable in both the frequency and spatial domains and is effective over a broad frequency bandwidth that includes a subwavelength regime. To advance the state of the art, this research presents a piezoelectric metamaterial with the capability to concurrently tailor the frequency, path, and mode shape of topological waves using resonant circuitry. In the research presented in this manuscript, the plane wave expansion method is used to detect a frequency tunable subwavelength Dirac point in the band structure of the periodic unit cell and discover an operating region over which topological wave propagation can exist. Dispersion analyses for a finite strip illuminate how circuit parameters can be utilized to adjust mode shapes corresponding to topological edge states. A further evaluation provides insight into how increased electromechanical coupling and lattice reconfiguration can be exploited to enhance the frequency range for topological wave propagation, increase achievable mode localization, and attain additional edge states. Topological guided wave propagation that is subwavelength in nature and adaptive in path, localization, and frequency is illustrated in numerical simulations of thin plate structures. Outcomes from the presented work indicate that the easily integrable and comprehensively tunable proposed metamaterial could be employed in applications requiring a multitude of functions over a broad frequency bandwidth.
arXiv comment34 pages, 12 figures, 1 table
References in corpus (29)
- Topological Insulators
- Quantum Spin Hall Effect in Graphene
- Valley contrasting physics in graphene: magnetic moment and topological transport
- Valley filter and valley valve in graphene
- Scheme to Achieve Silicon Topological Photonics
- Observation of phononic helical edge states in a mechanical 'topological insulator'
- Colloquium: The transport properties of graphene: An introduction
- Topological Phononic Crystals with One-Way Elastic Edge Waves
- Topological mechanics of gyroscopic metamaterials
- Topologically protected elastic waves in phononic metamaterials
- Edge states in Graphene: from gapped flat band to gapless chiral modes
- Edge waves in plates with resonators: An elastic analogue of the quantum valley Hall effect
- Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal
- Observation of topological valley modes in an elastic hexagonal lattice
- Tunable Acoustic Valley-Hall Edge States in Reconfigurable Phononic Elastic Waveguides
- Observation of topologically protected helical edge modes in Kagome elastic plates
- Subwavelength and directional control of flexural waves in zone-folding induced topological plates
- Coriolis Force Induced Quantum Hall Effect for Phonons
- Design and Experimental Observation of Valley-Hall Edge States in Diatomic-Graphene-like Elastic Waveguides
- Valley based splitting of topologically protected helical waves in elastic plates
- Theory and Experimental Investigation of the Quantum Valley Hall Effect
- Experimental Realization of a Reconfigurable Electroacoustic Topological Insulator
- Exciton-polariton condensates near the Dirac point in a triangular lattice
- Experimental evidence of robust acoustic valley Hall edge states in a non-resonant topological elastic waveguide
- Dial-in Topological Metamaterials Based on Bistable Stewart Platform
- Valley and pseudospin-valley topologically protected edge states in symmetric pillared phononic crystals
- A piezo-metastructure with bistable circuit shunts for adaptive nonreciprocal wave transmission
- Valley Hall phases in Kagome lattices
- Observations of symmetry induced topological mode steering in a reconfigurable elastic plate
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