Nonlinear and Linear Elastodynamic Transformation Cloaking
نویسندگان
چکیده
منابع مشابه
Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics
We describe recent theoretical and experimental progress on making objects invisible to detection by electromagnetic waves. Ideas for devices that would have once seemed fanciful may now be at least approximately implemented physically using a new class of artificially structured materials called metamaterials. Maxwell’s equations have transformation laws that allow for design of electromagneti...
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An approach to broadband cloaking of light waves is analysed for a simplified case of a scaling transformation for a general cylindrical coordinate system. The proposed approach requires metamaterials with specifically engineered dispersion. The restriction on the signs of gradients in the dispersion dependencies of the dielectric permittivity and the magnetic permeability for different operati...
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Ideal transformation optics cloaking at positive frequency, besides rendering the cloaked region invisible to detection by scattering of incident waves, also shields the region from those same waves. In contrast, we demonstrate that approximate cloaking permits a strong coupling between the cloaked and uncloaked regions; careful choice of parameters allows this coupling to be amplified, leading...
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In this paper, we study approximate cloaking of active devices for the Helmholtz equation in the whole space of dimension 2 or 3 for the scheme introduced by Kohn, Shen, Vogelius, and Weinstein in [11]. More precisely, we assess the degree of invisibility, determine the limit of the field inside the cloaked and cloaking regions, and show that the scheme is unstable with respect to the material ...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2019
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-019-01389-2