Elastic Temporal Waveguiding

Abstract

We provide a theoretical framework to mold time-modulated lattices with frequency conversion and wave-steering capabilities. We initially focus on 1D lattices, whereby a sufficiently slow time-modulation of the stiffness is employed to convert the frequency content of impinging waves. Based on the adiabatic theorem, we demonstrate that undesired reflections, which emerge in time-discontinuous materials, can be eliminated by a careful choice of the modulation velocity. The concept is later explored in the context of 2D lattices, whereby a slow time modulation of the stiffness not only induces frequency conversion without back-scattering, but also serves as a mechanism to steer waves. Our paper explores a new and exciting way to control wave propagation in elastodynamics with scattering-free guiding capabilities, and may open new avenues for the manipulation and transport of information through elastic waves.

References in corpus (22)

• Topological Phononic Crystals with One-Way Elastic Edge Waves
• Acoustic cloaking theory
• Edge waves in plates with resonators: An elastic analogue of the quantum valley Hall effect
• Non-Reciprocal Wave Propagation in Spatiotemporal Periodic Structures
• Tunable Acoustic Valley-Hall Edge States in Reconfigurable Phononic Elastic Waveguides
• Time-periodic stiffness modulation in elastic metamaterials for selective wave filtering: theory and experimental investigations
• Sound focusing by gradient index sonic lenses
• Observation of topologically protected helical edge modes in Kagome elastic plates
• Manipulation of Dirac Cones in Mechanical Graphene
• Topological rainbow trapping for elastic energy harvesting in graded SSH systems
• Coriolis Force Induced Quantum Hall Effect for Phonons
• Experimental observation of temporal pumping in electro-mechanical waveguides
• Experimental observation of non-reciprocal band-gaps in a space-time modulated beam using a shunted piezoelectric array
• Analysis of the Robustness of Conventional and Topologically Protected Edge States in Phononic Crystal Plates
• Experimental Observation of Nonreciprocal Waves in a Resonant Metamaterial Beam
• Edge States and Topological Pumping in Stiffness Modulated Elastic Plates
• Theory and Experimental Investigation of the Quantum Valley Hall Effect
• Selective mode conversion and rainbow trapping via graded elastic waveguides
• Surface wave non-reciprocity via time-modulated metamaterials
• Adiabatic pumping via avoided crossings in stiffness modulated quasiperiodic beams
• Adiabatic edge-to-edge transformations in time-modulated elastic lattices and non-Hermitian shortcuts
• Cloaking strategy for Love waves

Cited by in corpus (4)

• Non-Local Elastic Lattices with $\mathcal{P}\mathcal{T}$-Symmetry and Time Modulation: From Perfect Trapping to the Wave Boomerang Effect
• Differences between quantum and classical adiabatic evolution
• Adiabatic Lamb modes in 3D tapered waveguides: Cut-off effects and ZGV resonances
• Characterisation of temporal aiming for water waves with an anisotropic metabathymetry