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Published Online November 20, 2008
Science DOI: 10.1126/science.1166332

Reports

Submitted on September 23, 2008
Accepted on November 5, 2008

Broadband Invisibility by Non-Euclidean Cloaking

Ulf Leonhardt 1* and Tomás Tyc 2

1 Physics Department, National University of Singapore, 2 Science Drive 3, Singapore 117542, Singapore.; School of Physics and Astronomy, University of St. Andrews, North Haugh, St. Andrews, KY16 9SS, UK.
2 School of Physics and Astronomy, University of St. Andrews, North Haugh, St. Andrews, KY16 9SS, UK.; Institute of Theoretical Physics and Astrophysics, Masaryk University, Kotlarska 2, 61137 Brno, Czech Republic.

* To whom correspondence should be addressed.
Ulf Leonhardt , E-mail: ulf{at}st-andrews.ac.uk

Invisibility and negative refraction are both applications of transformation optics where the material of a device performs a coordinate transformation for electromagnetic fields. The device creates the illusion that light propagates through empty flat space, whereas in physical space light is bent around a hidden interior or seems to run backwards in space or time. All the previous proposals for invisibility require materials with extreme properties. We show that transformation optics of a curved, non-Euclidean space, such as the surface of a virtual sphere, relaxes these requirements and can lead to invisibility in a broad band of the spectrum.




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Science. ISSN 0036-8075 (print), 1095-9203 (online)