From Fermat's Principle to Invisibility
Author(s) -
Janos Perczel,
Ulf Leonhardt
Publication year - 2011
Publication title -
procedia computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.334
H-Index - 76
ISSN - 1877-0509
DOI - 10.1016/j.procs.2011.09.004
Subject(s) - invisibility , cloak , singularity , fermat's last theorem , euclidean geometry , computer science , refractive index , optics , theoretical physics , physics , metamaterial , mathematical analysis , pure mathematics , mathematics , artificial intelligence , geometry
We present the details of an invisibility cloak whose implementation would not require unphysical material properties, i.e. refractive indices that are singular or less than unity. To achieve this aim, we take the Non-Euclidean Cloak developed by Ulf Leonhardt and Thomas Tyc [1] and combine its refractive index profile with that of the Invisible Sphere [2] to raise all indices above one. We eliminate the singularity of the Invisible Sphere by a transmutation [3] .
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