Calculation of material properties and ray tracing in transformation media.


Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Schurig, D; Pendry, JB; Smith, DR

Published Date

  • October 2006

Published In

Volume / Issue

  • 14 / 21

Start / End Page

  • 9794 - 9804

PubMed ID

  • 19529371

Pubmed Central ID

  • 19529371

Electronic International Standard Serial Number (EISSN)

  • 1094-4087

International Standard Serial Number (ISSN)

  • 1094-4087

Digital Object Identifier (DOI)

  • 10.1364/oe.14.009794


  • eng