Abstract
This work introduces the so named radial sonic crystals, which are a new type of acoustic materials characterized by the fact that their acoustical properties are periodic in the radial direction, either in two dimensions or in three dimensions.These periodic conditions allow the application of Bloch theorem to the corresponding wave equation for sound propagation in spherical (3D) and cylindrical (2D) coordinates, respectively. The mentioned conditions leave the radial wave equation invariant under translation along r and can be achieved by using anisotropic fluid-like materials that can be engineered by using structures already proposed. We will report the rich variety of properties and potential applications of radial sonic crystals.
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References
Cummer S A and Schurig D.: One path to acoustic cloaking. New J. Phys. 9 45 (2007).
Tretyakov S.: Analytical Modeling in Applied Electromagnetism, Norwood, MA, Artech House, (2000).
Torrent D and Sánchez-Dehesa J.: Anisotropic mass density by two dimensional acoustic metamaterials, New J. Phys. 10 023004 (2008).
Torrent D and Sánchez-Dehesa J.: Acoustic metamaterials for new two dimensional sonic devices, New J. Phys. 9 323 (2007).
Torrent D and Sánchez-Dehesa J.: Acoustic cloaking in two dimensions: A feasible approach. New J. Phys. 10 063015 (2008).
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Torrent, D., Sánchez-Dehesa, J. (2010). Radial Sonic Crystals. In: Wu, TT., Ma, CC. (eds) IUTAM Symposium on Recent Advances of Acoustic Waves in Solids. IUTAM Bookseries, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9893-1_31
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DOI: https://doi.org/10.1007/978-90-481-9893-1_31
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