Abstract
Finite clusters of scatterers attached to a thin elastic plate are analyzed by means of multiple scattering theory. Two quasi-periodic distributions are considered: quasi-periodic lines and twisted bilayers. The former consist in a periodic lattice where an incommensurate modulation is superimposed. The latter are formed by the superposition of two-dimensional periodic lattices with a relative angle between them. These structures show a great variety of modes, which can be thoroughly analyzed with multiple scattering theory. The quality factor of the found resonances will be discussed, and the influence of mirror symmetry and anisotropy factor will be analyzed. Results show the relevance of quasi-periodic structures as candidates for high quality wave-trapping devices.
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