Interaction of Rayleigh waves with randomly distributed oscillators on the surface

Abstract

The attenuation of Rayleigh waves due to their interaction with resonating structures randomly distributed on the surface of a semi-infinite elastic medium is calculated along with the Rayleigh wave frequency. The resonating structures are modeled by single oscillators coupled to the displacement field at the surface of the elastic medium. Using the coherent potential approximation, the dependence of the frequency and damping constant of the Rayleigh waves on wave vectors are determined for various values of the concentration of oscillators on the surface. ͓S0163-1829͑99͒01719-1͔

Blocking Phonon Transport by Structural Resonances in Alloy-Based Nanophononic Metamaterials Leads to Ultralow Thermal Conductivity

“…Specifically, in our case, if a resonant mode from the pillars has the same polarization as a propagating mode in the main NW, they will hybridize and form two new modes (up and down branches) when their frequencies converge. This leads to the formation of mini band gaps, the widths of which depend on the coupling/hybridization strength as observed both in theoretical models [38][39][40][41], and experimentally [42,43] in acoustic metamaterials.…”

Waveguiding by a locally resonant metasurface

“…The first case is exemplified by surface Rayleigh waves on a solid half-space. The interaction of vertical surface oscillators with a Rayleigh wave has been studied theoretically [17,18] and recently observed experimentally [5]. In this case a classic avoided crossing takes place.…”

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