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Phys. Rev. Lett. 101, 134501 (2008) [4 pages]

Broadband Cylindrical Acoustic Cloak for Linear Surface Waves in a Fluid

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M. Farhat1, S. Enoch1, S. Guenneau2, and A. B. Movchan2
1Institut Fresnel, CNRS, Aix-Marseille Université, Campus Universitaire de Saint-Jérôme, 13013 Marseille, France
2Department of Mathematical Sciences, Liverpool University, Peach Street, Liverpool, L69 3BX, United Kingdom

Received 30 March 2008; published 25 September 2008

We describe the first practical realization of a cylindrical cloak for linear surface liquid waves. This structured metamaterial bends surface waves radiated by a closely located acoustic source over a finite interval of Hertz frequencies. We demonstrate theoretically its unique mechanism using homogenization theory: the cloak behaves as an effective anisotropic fluid characterized by a diagonal stress tensor in a cylindrical basis. A low azimuthal viscosity is achieved, where the fluid flows most rapidly. Numerical simulations demonstrate that the homogenized cloak behaves like the actual structured cloak. We experimentally analyze the decreased backscattering of a fluid with low viscosity and finite density (methoxynonafluorobutane) from a cylindrical rigid obstacle surrounded by the cloak when it is located a couple of wavelengths away from the acoustic source.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.134501
DOI:
10.1103/PhysRevLett.101.134501
PACS:
47.35.Lf, 47.11.Fg, 47.11.St