Enhancement of Near-Cloaking. Part II: The Helmholtz Equation

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The aim of this paper is to extend the method of Ammari et al. (Commun. Math. Phys., 2012) to scattering problems. We construct very effective near-cloaking structures for the scattering problem at a fixed frequency. These new structures are, before using the transformation optics, layered structures and are designed so that their first scattering coefficients vanish. Inside the cloaking region, any target has near-zero scattering cross section for a band of frequencies. We analytically show that our new construction significantly enhances the cloaking effect for the Helmholtz equation.
Publisher
SPRINGER
Issue Date
2013-01
Language
English
Article Type
Article
Keywords

INVISIBILITY; VARIABLES; DEVICES

Citation

COMMUNICATIONS IN MATHEMATICAL PHYSICS, v.317, no.2, pp.485 - 502

ISSN
0010-3616
DOI
10.1007/s00220-012-1620-y
URI
http://hdl.handle.net/10203/102416
Appears in Collection
MA-Journal Papers(저널논문)
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