Transformation optics (TO) is a powerful tool for the design of electromagnetic and optical devices with novel functionality derived from the unusual properties of the transformation media. In general, the fabrication of TO media is challenging, requiring spatially varying material properties with both anisotropic electric and magnetic responses. Though metamaterials have been proposed as a path for achieving such complex media, the required properties arising from the most general transformations remain elusive, and cannot implemented by state-of-the-art fabrication techniques. Here, we propose faceted approximations of TO media of arbitrary shape in which the volume of the TO device is divided into flat metamaterial layers. These layers can be readily implemented by standard fabrication and stacking techniques. We illustrate our approximation approach for the specific example of a two-dimensional, omnidirectional “invisibility cloak,” and quantify its performance using the total scattering cross section as a practical figure of merit.
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15 June 2012
Research Article|
June 20 2012
Construction of invisibility cloaks of arbitrary shape and size using planar layers of metamaterials
Oliver Paul;
Oliver Paul
1Department of Physics and Research Center OPTIMAS,
University of Kaiserslautern
, 67663 Kaiserslautern, Germany
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Yaroslav Urzhumov;
Yaroslav Urzhumov
2Center for Metamaterials and Integrated Plasmonics, Pratt School of Engineering,
Duke University
, Durham, North Carolina 27708, USA
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Christoffer Elsen;
Christoffer Elsen
1Department of Physics and Research Center OPTIMAS,
University of Kaiserslautern
, 67663 Kaiserslautern, Germany
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David Smith;
David Smith
2Center for Metamaterials and Integrated Plasmonics, Pratt School of Engineering,
Duke University
, Durham, North Carolina 27708, USA
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Marco Rahm
Marco Rahm
1Department of Physics and Research Center OPTIMAS,
University of Kaiserslautern
, 67663 Kaiserslautern, Germany
3
Fraunhofer Institute for Physical Measurement Techniques IPM
, 79110 Freiburg, Germany
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J. Appl. Phys. 111, 123106 (2012)
Article history
Received:
March 28 2012
Accepted:
May 10 2012
Citation
Oliver Paul, Yaroslav Urzhumov, Christoffer Elsen, David Smith, Marco Rahm; Construction of invisibility cloaks of arbitrary shape and size using planar layers of metamaterials. J. Appl. Phys. 15 June 2012; 111 (12): 123106. https://doi.org/10.1063/1.4729012
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