Topological rainbow trapping for elastic energy harvesting in graded SSH systems

Abstract

We amalgamate two fundamental designs from distinct areas of wave control in physics, and place them in the setting of elasticity. Graded elastic metasurfaces, so-called metawedges, are combined with the now classical Su-Schrieffer-Heeger (SSH) model from the field of topological insulators. The resulting structures form one-dimensional graded-SSH-metawedges that support multiple, simultaneous, topologically protected edge states. These robust, enhanced localised modes are leveraged for applications in elastic energy harvesting using the piezoelectric effect. The designs we develop are first motivated by applying the SSH model to mass-loaded Kirchhoff-Love thin elastic plates. We then extend these ideas to using graded resonant rods, and create SSH models, coupled to elastic beams and full elastic half-spaces.

References in corpus (39)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Berry Phase Effects on Electronic Properties
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Scheme to Achieve Silicon Topological Photonics
• Topological Acoustics
• Nonlinear energy harvesting
• Direct Measurement of the Zak phase in Topological Bloch Bands
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Topological Phononic Crystals with One-Way Elastic Edge Waves
• Topological mechanics of gyroscopic metamaterials
• Topologically protected elastic waves in phononic metamaterials
• Computing topological invariants without inversion symmetry
• Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
• Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems
• Observation of the topological soliton state in the Su-Schrieffer-Heeger model
• Topologically protected acoustic helical edge states and interface states in strongly coupled metamaterial ring lattices
• Z2Pack: Numerical Implementation of Hybrid Wannier Centers for Identifying Topological Materials
• Valley Vortex States in Sonic Crystals
• Edge waves in plates with resonators: An elastic analogue of the quantum valley Hall effect
• Probing 10 μK stability and residual drifts in the cross-polarized dual-mode stabilization of single-crystal ultrahigh-Q optical resonators
• Nonlinear conduction via solitons in a topological mechanical insulator
• Seismic metasurfaces: Sub-wavelength resonators and Rayleigh wave interaction
• Topological waves in fluids with odd viscosity
• Subwavelength and directional control of flexural waves in zone-folding induced topological plates
• Actively controllable topological phase transition in phononic beam systems
• Enhancement of sound in chirped sonic crystals
• Experimental investigation of amplification, via a mechanical delay-line, in a rainbow-based metasurface for energy harvesting
• Novel topological beam-splitting in photonic crystals
• Designing multi-directional energy-splitters and topological valley supernetworks
• Tailored elastic surface to body wave Umklapp conversion
• Mechanical analogue of a Majorana bound state
• Geometrically navigating topological platonic modes around gentle and sharp bends
• Zak phase and band inversion in dimerized one-dimensional locally resonant metamaterials
• Transformation seismology: composite soil lenses for steering surface elastic Rayleigh waves
• Experimental observations of topologically guided water waves within non-hexagonal structures
• Unveiling Extreme Anisotropy in Elastic Structured Media

Cited by in corpus (14)

• Selective mode conversion and rainbow trapping via graded elastic waveguides
• Lamb's problem for a half-space coupled to a generic distribution of oscillators at the surface
• Uncovering and experimental realization of multimodal 3D topological metamaterials for low-frequency and multiband elastic wave control
• Elastic Temporal Waveguiding
• Graded quasiperiodic metamaterials perform fractal rainbow trapping
• Tailored Topological Edge Waves via Chiral Hierarchical Metamaterials
• Topological interface states induced by incident angle in the 1D elastic wave system
• Homogeneous Dislocation-Induced Rainbow Concentrating for Elastic Waves
• Harnessing $\mathcal{P}\mathcal{T}$-symmetry in non-Hermitian stiffness-modulated waveguides
• Tunable topological edge modes in Su-Schrieffer-Heeger arrays
• Inverse Design of Thin-Plate Elastic Wave Devices
• Dispersion relations of generalized one-dimensional phononic crystals
• Mode pumping in photonic lattices using a single tailored auxiliary waveguide
• Embedding 1D BDI topological dynamics into continuous elastic plates