Shear surface waves in phononic crystals
A.A.Kutsenko, A.L.Shuvalov
TL;DR
This paper reports the theoretical existence of shear horizontal surface waves in 2D phononic crystals with asymmetric profiles, demonstrating their dispersion spectra and establishing a link between bulk and surface wave speeds.
Contribution
It introduces a novel integral projector method for analyzing shear surface waves in phononic crystals, applicable to vector and 3D waves.
Findings
Existence of shear horizontal surface waves in 2D phononic crystals.
Dispersion spectra with band gaps for subsonic and supersonic SH surface waves.
A new method using integral projectors to analyze evanescent modes.
Abstract
Existence of shear horizontal (SH) surface waves in 2D-periodic phononic crystals with an asymmetric depth-dependent profile is theoretically reported. Examples of dispersion spectra with band gaps for subsonic and supersonic SH surface waves are demonstrated. The link between the effective (quasistatic) speeds of the SH bulk and surface waves is established. Calculation and analysis is based on the integral form of projector on the subspace of evanescent modes which means no need for their explicit finding. This new method can be extended to the vector waves and the 3D case.
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