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 (7)

• Acoustic cloaking theory
• Edge waves in plates with resonators: An elastic analogue of the quantum valley Hall effect
• Tunable Acoustic Valley-Hall Edge States in Reconfigurable Phononic Elastic Waveguides
• Experimental Observation of Nonreciprocal Waves in a Resonant Metamaterial Beam
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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