2008/04/30 by Graeme W Milton, Graeme W. Milton, Nicolae-Alexandru P Nicorovici +5 · 76 citations
Materials Science · Physics and Astronomy · #Cloaking #Core (optical fiber) #Cylinder #Dipole #Electromagnetic Scattering and Analysis #Field (mathematics) #Metamaterials and Metasurfaces Applications #Quasicrystal Structures and Properties #RADIUS #Resonance (particle physics) #Shell (structure) #physics.optics
paper · pdf · doi:10.1088/1367-2630/10/11/115021
published in New Journal of Physics 10(11), 115021 (IOP Publishing) · 23 pages, 6 figures, in the new version one figure has been added, also the meaning of folded geometries has been clarified
arxiv created 2008/07/20 · openalex publication_date 2008/11/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Solutions for the fields in a coated cylinder where the core radius is bigger than the shell radius are seemingly unphysical, but can be given a physical meaning if one transforms to an equivalent problem by unfolding the geometry. In particular, the unfolded material can act as an impedance matched hyperlens, and as the loss in the lens goes to zero finite collections of polarizable line dipoles lying within a critical region surrounding the hyperlens are shown to be cloaked having vanishingly small dipole moments. This cloaking, which occurs both in the folded geometry and the equivalent unfolded one, is due to anomalous resonance, where the collection of dipoles generates an anomalously resonant field, which acts back on the dipoles to essentially cancel the external fields acting on them.