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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Solutions in folded geometries, and associated cloaking due to anomalous resonance

Focus on Cloaking and Transformation Optics

Graeme W Milton1, Nicolae-Alexandru P Nicorovici2, Ross C McPhedran2, Kirill Cherednichenko3 and Zubin Jacob4

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Part of Focus on Cloaking and Transformation Optics

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.


PACS

42.79.Bh Lenses, prisms and mirrors

41.20.-q Applied classical electromagnetism

42.15.-i Geometrical optics

Subjects

Accelerators, beams and electromagnetism

Optics, quantum optics and lasers

Dates

Issue 11 (November 2008)

Received 22 April 2008

Published 27 November 2008



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