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

2015/02/24 by Hongjie Li, Li, Hongjie, Jingzhi Li +3
Materials Science · Mathematics · Physics and Astronomy · #35B30 #35R30 #Analysis of PDEs (math.AP) #Electromagnetic Scattering and Analysis #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Metamaterials and Metasurfaces Applications #Numerical methods in inverse problems #math-ph #math.AP #math.MP #msc:35B30 #msc:35R30

paper · pdf · doi:10.48550/arxiv.1502.06679

openalex publication_date 2015/02/24 · arxiv created 2015/03/24 · arxiv updated 2015/03/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

This work concerns the cloaking due to anomalous localized resonance (CALR) in the quasi-static regime. We extend the related two-dimensional studies in [2,10] to the three-dimensional setting. CALR is shown not to take place for the plasmonic configuration considered in [2,10] in the three-dimensional case. We give two different constructions which ensure the occurrence of CALR. There may be no core or an arbitrary shape core for the cloaking device. If there is a core, then the dielectric distribution inside it could be arbitrary.

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