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Nearly cloaking the full Maxwell equations: Cloaking active contents with general conducting layers

Nearly cloaking the full Maxwell equations: cloaking active contents with general conducting layers
Authors: Hongyu Liu; Jun Zou; Gang Bao; Gang Bao;

Nearly cloaking the full Maxwell equations: Cloaking active contents with general conducting layers

Abstract

The regularized near-cloak via the transformation optics approach in the time-harmonic electromagnetic scattering is considered. This work extends the existing studies mainly in two aspects. First, it presents a near-cloak construction by incorporating a much more general conducting layer between the cloaked and cloaking regions. This might be of significant practical importance when production fluctuations occur. Second, it allows the cloaked contents to be both passive and active with an applied current inside. In assessing the near-cloaking performance, comprehensive and sharp estimates are derived for the scattering amplitude in terms of the asymptotic regularization parameter and the material tensors of the conducting layer. The scattering estimates are independent of the passive/active contents being cloaked, which implies that one could nearly cloak arbitrary contents by using the proposed near-cloak construction.

Any comments are welcome

Keywords

Inverse problems for PDEs, transformation optics, invisibility cloaking, FOS: Physical sciences, Mathematical Physics (math-ph), asymptotic estimates, A priori estimates in context of PDEs, Mathematics - Analysis of PDEs, electromagnetic scattering, Maxwell's equations, Electromagnetic theory (general), FOS: Mathematics, Inverse problems (including inverse scattering) in optics and electromagnetic theory, PDEs in connection with optics and electromagnetic theory, Mathematical Physics, Analysis of PDEs (math.AP), 35Q60, 78A25, 35R30

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
47
Top 10%
Top 10%
Top 10%
Green
hybrid