On Quasi-static cloaking due to anomalous localized resonance in ℝ3

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Original languageEnglish
Pages (from-to)1245-1260
Journal / PublicationSIAM Journal on Applied Mathematics
Issue number3
Publication statusPublished - 2015
Externally publishedYes


This work concerns the cloaking due to anomalous localized resonance (CALR) in the quasi-static regime. We extend the related two-dimensional studies in [H. Ammari et al., Arch. Ration. Mech. Anal., 208 (2013), pp. 667-692; R. V. Kohn et al., Comm. Math. Phys., 328 (2014), pp. 1-27] to the three-dimensional setting. CALR is shown not to take place for the plasmonic configuration considered in these two papers in the three-dimensional case. We give two different constructions which ensure the occurrence of CALR. There may be no core or an arbitrarily shaped core for the cloaking device. If there is a core, then the dielectric distribution inside it could be arbitrary.

Research Area(s)

  • Anomalous localized resonance, Invisibility cloaking, Plasmonic material