Exterior cloaking with active sources in two dimensional acoustics

Abstract

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.

References in corpus (4)

• Illusion optics: The optical transformation of an object into another object
• A complementary media invisibility cloak that can cloak objects at a distance outside the cloaking shell
• Full-wave invisibility of active devices at all frequencies
• Realizable response matrices of multiterminal electrical, acoustic, and elastodynamic networks at a given frequency

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• A unifying perspective on linear continuum equations prevalent in science. Part IV: Canonical forms for equations involving higher order gradients
• Analytic Materials
• Characterization and Synthesis of Rayleigh Damped Elastodynamic Networks
• Matrix valued inverse problems on graphs with application to elastodynamic networks
• Analyticity of the Dirichlet-to-Neumann map for the time-harmonic Maxwell's equations