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Calculation of material properties and ray tracing in transformation media
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| Organization: | Duke University |
| Department: | Electrical and Computer Engineering |
| Organization: | Imperial College London |
| Department: | Department of Physics |
| Organization: | Duke University |
| Department: | Electrical and Computer Engineering |
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| Optics Express: The International Electronic Journal of Optics |
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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.
© 2006 Optical Society of America
NOTE: The full article is available at the author's website. The files provided below were used to do the ray tracing in this article, as well as create the animations in the author's website.
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geometrical optics, optical design, electromagnetic theory
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| MechanicalResonance.nb (6.9 KB) - Mathematica Notebook [for Mathematica 5.2] | | Predator.nb (2.6 MB) - Mathematica Notebook [for Mathematica 5.2] | | SplitRingResonance.nb (16.8 KB) - Mathematica Notebook [for Mathematica 5.2] | | TransformationMedia.nb (12.5 KB) - Mathematica Notebook [for Mathematica 5.2] |
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