dorsal/arxiv
View SchemaCalculation of material properties and ray tracing in transformation media
| Authors | D. Schurig, J. B. Pendry, D. R. Smith |
|---|---|
| Categories | |
| ArXiv ID | physics/0607205 |
| URL | https://arxiv.org/abs/physics/0607205 |
| DOI | 10.1364/OE.14.009794 |
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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"abstract": "Complex and interesting electromagnetic behavior can be found in spaces with\nnon-flat topology. When considering the properties of an electromagnetic medium\nunder an arbitrary coordinate transformation an alternative interpretation\npresents itself. The transformed material property tensors may be interpreted\nas a different set of material properties in a flat, Cartesian space. We\ndescribe the calculation of these material properties for coordinate\ntransformations that describe spaces with spherical or cylindrical holes in\nthem. The resulting material properties can then implement invisibility cloaks\nin flat space. We also describe a method for performing geometric ray tracing\nin these materials which are both inhomogeneous and anisotropic in their\nelectric permittivity and magnetic permeability.",
"arxiv_id": "physics/0607205",
"authors": [
"D. Schurig",
"J. B. Pendry",
"D. R. Smith"
],
"categories": [
"physics.optics"
],
"doi": "10.1364/OE.14.009794",
"title": "Calculation of material properties and ray tracing in transformation media",
"url": "https://arxiv.org/abs/physics/0607205"
},
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