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Calculation of material properties and ray tracing in transformation media

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Schurig, D., Pendry, J. B., Smith, D. R.·2006·Optics Express

Abstract

Complex and interesting electromagnetic behavior can be found in spaces with non-flat topology. When considering the properties of an electromagnetic medium under an arbitrary coordinate transformation an alternative interpretation presents itself. The transformed material property tensors may be interpreted as a different set of material properties in a flat, Cartesian space. We describe the calculation of these material properties for coordinate transformations that describe spaces with spherical or cylindrical holes in them. The resulting material properties can then implement invisibility cloaks in flat space. We also describe a method for performing geometric ray tracing in these materials which are both inhomogeneous and anisotropic in their electric permittivity and magnetic permeability.

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Metadata

Authors
Schurig, D., Pendry, J. B., & Smith, D. R.
Venue
Optics Express
Published
2006
Volume
14
Issue
21
Pages
9794
ISSN
1094-4087 (ISSN-L)
OpenAlex
W2054351337
Cited by
687
References
0
FWCI
41.54
Type
journal article
Language
en
Open access
gold
Licence

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CoChat. (2026). Citation check: Calculation of material properties and ray tracing in transformation media. https://app.cochat.ai/papers/10.1364/oe.14.009794
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Schurig, D., Pendry, J. B., & Smith, D. R. (2006). Calculation of material properties and ray tracing in transformation media. Optics Express. https://doi.org/10.1364/oe.14.009794

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