The t matrix of a hole in an acoustic waveguide is here obtained and applied to study the scattering of sound waves propagating inside a waveguide. It is found that a hole drilled in a waveguide behaves as a cylindrical unit whose dynamical mass density is lower than that of the surrounded background. This property has been used here to design an acoustic refractive lens. Numerical experiments based on multiple scattering simulations confirm the sound focusing by the designed device.
Refractive Devices Based on Acoustic Metamaterials
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Gracia´, R, Torrent, D, & Sa´nchez-Dehesa, J. "Refractive Devices Based on Acoustic Metamaterials." Proceedings of the ASME 2011 International Mechanical Engineering Congress and Exposition. Volume 8: Mechanics of Solids, Structures and Fluids; Vibration, Acoustics and Wave Propagation. Denver, Colorado, USA. November 11–17, 2011. pp. 979-984. ASME. https://doi.org/10.1115/IMECE2011-65720
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