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

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)716-733
Journal / PublicationJournal des Mathematiques Pures et Appliquees
Issue number5
Online published10 Oct 2013
Publication statusPublished - May 2014
Externally publishedYes


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.

Research Area(s)

  • Electromagnetic scattering, Maxwell's equations, Invisibility cloaking, Transformation optics, Asymptotic estimates