Calculation of material properties and ray tracing in transformation media.
By David Schurig, John B. Pendry, David R. Smith. Optics Express, 2006
742 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Electronic, Optical and Magnetic Materials
View Paper: https://www.semanticscholar.org/paper/63e9b5b49cc532ce145f94a2c1104694de44ad90
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In Atomic and Molecular Physics, and Optics
In Electrical and Electronic Engineering
In Electronic, Optical and Magnetic Materials
Citations in the corpus
- Transformation optical designs for wave collimators, flat lenses and right-angle bends (2008, background): “This interpretation is possible due to the transform-invariant nature of Maxwell’s equations [4, 5] under such coordinate transformations.”
- Transformation Electromagnetics: An Overview of the Theory and Applications (2010, methodology): “By applying the "materials interpretation" of Maxwell's equations in the transfonned coordinate system [ 4 ], material-parameter specifi cations in the original space, pertaining to the function defined by the spatial transfonnation, are easily obtained from their geometri cal parameters.”