4.5 Article

Exterior cloaking with active sources in two dimensional acoustics

Journal

WAVE MOTION
Volume 48, Issue 6, Pages 515-524

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.wavemoti.2011.03.005

Keywords

Active cloaking; Acoustic waves; Helmholtz equation; Green's formula

Funding

  1. National Science Foundation [DMS-070978]

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We cloak a region from a known incident wave by surrounding the region with three or more devices that cancel out the field in the cloaked region without significantly radiating waves. Since very little waves reach scatterers within the cloaked region, the scattered field is small and the scatterers are for all practical purposes undetectable. The devices are multipolar point sources that can be determined from Green's formula and an addition theorem for Hankel functions. The cloaking devices are exterior to the cloaked region. (C) 2011 Elsevier B.V. All rights reserved.

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