Transformation optics with artificial Riemann sheets

The two original versions of ‘invisibility’ cloaks (Leonhardt 2006 Science 312 1777–80 and Pendry et al 2006 Science 312 1780–2) show perfect cloaking but require unphysical singularities in material properties. A non-Euclidean version of cloaking (Leonhardt 2009 Science 323 110–12) was later presen...

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Main Authors: Lin Xu, Huanyang Chen
Format: Article
Language:English
Published: IOP Publishing 2013-01-01
Series:New Journal of Physics
Online Access:https://doi.org/10.1088/1367-2630/15/11/113013
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author Lin Xu
Huanyang Chen
author_facet Lin Xu
Huanyang Chen
author_sort Lin Xu
collection DOAJ
description The two original versions of ‘invisibility’ cloaks (Leonhardt 2006 Science 312 1777–80 and Pendry et al 2006 Science 312 1780–2) show perfect cloaking but require unphysical singularities in material properties. A non-Euclidean version of cloaking (Leonhardt 2009 Science 323 110–12) was later presented to address these problems, using a very complicated non-Euclidean geometry. In this work, we combine the two original approaches to transformation optics into a more general concept: transformation optics with artificial Riemann sheets. Our method is straightforward and can be utilized to design new kinds of cloaks that can work not only in the realm of geometric optics but also using wave optics. The physics behind this design is similar to that of the conformal cloak for waves. The resonances in the interior region make the phase delay disappear and induce the cloaking effect. Numerical simulations confirm our theoretical results.
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spelling doaj.art-ee3d53c3403f4832baec2bce71ca91542023-08-08T11:05:14ZengIOP PublishingNew Journal of Physics1367-26302013-01-01151111301310.1088/1367-2630/15/11/113013Transformation optics with artificial Riemann sheetsLin Xu0Huanyang Chen1School of Physical Science and Technology, Soochow University , Suzhou, Jiangsu 215006, People's Republic of ChinaSchool of Physical Science and Technology, Soochow University , Suzhou, Jiangsu 215006, People's Republic of ChinaThe two original versions of ‘invisibility’ cloaks (Leonhardt 2006 Science 312 1777–80 and Pendry et al 2006 Science 312 1780–2) show perfect cloaking but require unphysical singularities in material properties. A non-Euclidean version of cloaking (Leonhardt 2009 Science 323 110–12) was later presented to address these problems, using a very complicated non-Euclidean geometry. In this work, we combine the two original approaches to transformation optics into a more general concept: transformation optics with artificial Riemann sheets. Our method is straightforward and can be utilized to design new kinds of cloaks that can work not only in the realm of geometric optics but also using wave optics. The physics behind this design is similar to that of the conformal cloak for waves. The resonances in the interior region make the phase delay disappear and induce the cloaking effect. Numerical simulations confirm our theoretical results.https://doi.org/10.1088/1367-2630/15/11/113013
spellingShingle Lin Xu
Huanyang Chen
Transformation optics with artificial Riemann sheets
New Journal of Physics
title Transformation optics with artificial Riemann sheets
title_full Transformation optics with artificial Riemann sheets
title_fullStr Transformation optics with artificial Riemann sheets
title_full_unstemmed Transformation optics with artificial Riemann sheets
title_short Transformation optics with artificial Riemann sheets
title_sort transformation optics with artificial riemann sheets
url https://doi.org/10.1088/1367-2630/15/11/113013
work_keys_str_mv AT linxu transformationopticswithartificialriemannsheets
AT huanyangchen transformationopticswithartificialriemannsheets