Multiple-scattering theory for two-dimensional arbitrarily shaped acoustic composites

ALBERTI, ALEJO; SPIOUSAS, IGNACIO; RIERA, PABLO E.; EGUIA, MANUEL C.

Ciudad de Buenos Aires

Congreso; 22nd International Congress on Acoustics ICA 2016; 2016

e Ibero-american Federation of Acoustics (FIA) and the Argentinian Acousticians Association (AdAA)

Multi-scattering theory (MST) is an analytical tool which allows for the resolution of the field dispersed(scattered) by an interfering medium after leaving a source. The basis of the methodconsists in determining the way each inhomogeneity (scatterer) in the medium affects the incidentwave, something which ultimately depends on the shape and mechanical properties of thescatterer. Unlike previously reported MST implementations in acoustics, which only deal withcylindrical scatterers, we studied the effects of employing structures with different shapes (triangular,square, elliptical). The using of these scatterers to conform periodic composite materials(crystals) is further tested and the arising results are contrasted with predictions based upon theband structures of the corresponding crystals. Also, both the geometrical parameters of the scatterers(cross-section and size) and their orientations in the crystal with respect to the source arevaried, giving rise to additional tools to manipulate the acoustic field. All field computations wereperformed using a GPU.