Scattering Theory Derivation of a 3D Acoustic Cloaking Shell

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Scattering Theory Derivation of a 3D Acoustic Cloaking Shell

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

Phys. Rev. Lett. 100, 024301 – Published 14 January 2008

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.

Received 26 September 2007

DOI:https://doi.org/10.1103/PhysRevLett.100.024301

Authors & Affiliations

Steven A. Cummer^1,*, Bogdan-Ioan Popa¹, David Schurig², David R. Smith¹, John Pendry³, Marco Rahm¹, and Anthony Starr⁴

¹Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, USA
²Department of Electrical and Computer Engineering, North Carolina State University, Raleigh, North Carolina 27695, USA
³Department of Physics, The Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom
⁴SensorMetrix, Inc., San Diego, California 92121, USA

^*To whom correspondence should be addressed. cummer@ee.duke.edu

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Vol. 100, Iss. 2 — 18 January 2008

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