Electromagnetic Metamaterials and their
Approximations:
Practical and Theoretical Aspects
CSIC Building (#406),
Seminar Room 4122.
Directions: home.cscamm.umd.edu/directions

Solutions in
Folded Geometries, and Associated Cloaking due to
Anomalous Resonance
Professor
Graeme Milton
University of Utah

Abstract:
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. 
