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Cummer SA, Popa BI, Schurig D, et al. Scattering theory derivation of a 3D acoustic cloaking shell. Phys Rev Lett. 2008;100(2):024301doi: 10.1103/PhysRevLett.100.024301.
Cummer, S. A., Popa, B. I., Schurig, D., Smith, D. R., Pendry, J., Rahm, M., & Starr, A. (2008). Scattering theory derivation of a 3D acoustic cloaking shell. Physical review letters, 100(2), 024301. https://doi.org/10.1103/PhysRevLett.100.024301
Cummer, Steven A, et al. "Scattering theory derivation of a 3D acoustic cloaking shell." Physical review letters vol. 100,2 (2008): 024301. doi: https://doi.org/10.1103/PhysRevLett.100.024301
Cummer SA, Popa BI, Schurig D, Smith DR, Pendry J, Rahm M, Starr A. Scattering theory derivation of a 3D acoustic cloaking shell. Phys Rev Lett. 2008 Jan 18;100(2):024301. doi: 10.1103/PhysRevLett.100.024301. Epub 2008 Jan 14. PMID: 18232873.
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Phys Rev Lett. 2008 Jan 18;100(2):024301. doi: 10.1103/PhysRevLett.100.024301. Epub 2008 Jan 14.

Scattering theory derivation of a 3D acoustic cloaking shell.

Physical review letters

Steven A Cummer, Bogdan-Ioan Popa, David Schurig, David R Smith, John Pendry, Marco Rahm, Anthony Starr

Affiliations

  1. Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, USA. [email protected]

PMID: 18232873 DOI: 10.1103/PhysRevLett.100.024301

Abstract

Through acoustic scattering theory we derive the mass density and bulk modulus of a spherical shell that can eliminate scattering from an arbitrary object in the interior of the shell--in other words, a 3D acoustic cloaking shell. Calculations confirm that the pressure and velocity fields are smoothly bent and excluded from the central region as for previously reported electromagnetic cloaking shells. The shell requires an anisotropic mass density with principal axes in the spherical coordinate directions and a radially dependent bulk modulus. The existence of this 3D cloaking shell indicates that such reflectionless solutions may also exist for other wave systems that are not isomorphic with electromagnetics.

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