Surface wave non-reciprocity via time-modulated metamaterials
arXiv:2007.10531 · doi:10.1016/j.jmps.2020.104181
Abstract
We investigate how Rayleigh waves interact with modulated resonators located on the free surface of a semi-infinite elastic medium. We begin by studying the dynamics of a single resonator with time-modulated stiffness. In particular, we evaluate the accuracy of an analytical approximation of the resonator response and identify the parameter ranges in which its behavior remains stable. Then, we develop an analytical model to describe the interaction between surface waves and an array of resonators with spatio-temporally modulated stiffness. By combining our analytical models with full-scale numerical simulations, we demonstrate that spatio-temporal stiffness modulation of this elastic metasurface leads to the emergence of non-reciprocal features in the Rayleigh wave spectrum. Specifically, we show how the frequency content of a propagating signal can be filtered and converted when traveling through the modulated medium, and illustrate how surface-to-bulk wave conversion plays a role in these phenomena. Throughout this article, we indicate bounds of modulation parameters for which our theory is reliable, thus providing guidelines for future experimental studies on the topic.
References in corpus (14)
- Non-reciprocal robotic metamaterials
- Seismic metasurfaces: Sub-wavelength resonators and Rayleigh wave interaction
- Non-Reciprocal Wave Propagation in Spatiotemporal Periodic Structures
- Observation of nonreciprocal wave propagation in a dynamic phononic lattice
- Reciprocity in reflection and transmission: what is a "phonon diode"?
- Phononic crystal waveguides for electromechanical circuits
- Interaction of a Contact Resonance of Microspheres with Surface Acoustic Waves
- Experimental observation of non-reciprocal band-gaps in a space-time modulated beam using a shunted piezoelectric array
- Nonlinear nano-electromechanical lattices for high-frequency, tunable stress propagation
- Asymmetric acoustic propagation of wave packets via the self-demodulation effect
- Experimental Observation of Nonreciprocal Waves in a Resonant Metamaterial Beam
- A Bloch-based procedure for dispersion analysis of lattices with periodic time-varying properties
- Switchable phonon diodes using nonlinear topological Maxwell lattices
- On the wave dispersion and non-reciprocal power flow in space-time traveling acoustic metamaterials
Cited by in corpus (14)
- Topological edge states of quasiperiodic elastic metasurfaces
- Lamb's problem for a half-space coupled to a generic distribution of oscillators at the surface
- Elastic Temporal Waveguiding
- Adaptive nonreciprocal wave attenuation in linear piezoelectric metastructures shunted with one-way electrical transmission lines
- Frequency Selective Wave Beaming in Nonreciprocal Acoustic Phased Arrays
- A multiple scattering formulation for elastic wave propagation in space-time modulated metamaterials
- A multiple scattering formulation for finite-size flexural metasurfaces
- Time-modulated inerters as building blocks for nonreciprocal mechanical devices
- Nonreciprocal Phase Shifts in Spatiotemporally Modulated Systems
- Linear Nonreciprocal Dynamics of Coupled Modulated Systems
- Metamaterials and Fluid Flows
- Experimental Evidence of Amplitude-Dependent Surface Wave Dispersion via Nonlinear Contact Resonances
- Rayleigh wave propagation in nonlinear metasurfaces
- Parametric Instability in Discrete Models of Spatiotemporally Modulated Materials