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Solutions for the fields in a coated cylinder where the core radius is biggerthan the shell radius are seemingly unphysical, but can be given a physicalmeaning 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 linedipoles lying within a critical region surrounding the hyperlens are shown tobe cloaked having vanishingly small dipole moments. This cloaking, which occursboth in the folded geometry and the equivalent unfolded one, is due toanomalous resonance, where the collection of dipoles generates an anomalouslyresonant field, which acts back on the dipoles to essentially cancel theexternal fields acting on them.

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