The guiding of elastic waves in a two-dimensional graded phononic crystal plate is investigated. This effect is induced by the resonance coupling of attachments and matrix in a silicon pillar-substrate system and the resonance frequencies of guided surface modes can be tuned by tailoring the geometry and material properties of the pillars. The resonance frequencies increase with radius and Young's modulus, and decrease with height and density of the pillars, which provides several possibilities for the guiding of elastic waves. These devices show the capability of spatially selecting different frequencies into designed channels, thus acting as a phononic multi-channel filter.
MethodsCoupled mode theory describes the interaction between few fields in a periodically perturbed structure; the fields in the unperturbed condition are considered, while the periodic modulation perturbation couples these modes [23,24]. The coupled mode in PnC generally means the coupling between inclusions/resonators and matrix, which can result in a bandgap in the dispersion relations and Fano-like line shape in transmission spectra. The coupling can be modulated by the characteristics of different systems. The resonance can be OPEN ACCESS RECEIVED