Calculation of material properties and ray tracing in transformation media

@article{citeulike:2286732, 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.}, author = {Schurig, D. and Pendry, J. B. and Smith, D. R. }, citeulike-article-id = {2286732}, journal = {Opt. Express}, keywords = {cloaking, metamaterial}, month = {October}, number = {21}, pages = {9794--9804}, posted-at = {2008-01-25 02:47:22}, priority = {2}, publisher = {OSA}, title = {Calculation of material properties and ray tracing in transformation media}, url = {http://www.opticsinfobase.org/abstract.cfm?id=116380}, volume = {14}, year = {2006} }

TY - JOUR ID - citeulike:2286732 L3 - citeulike-article-id:2286732 TI - Calculation of material properties and ray tracing in transformation media JF - Opt. Express VL - 14 IS - 21 SP - 9794 EP - 9804 PB - OSA N2 - 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. KW - cloaking KW - metamaterial AU - Schurig, D AU - Pendry, JB AU - Smith, DR PY - 2006/10/16/ UR - http://www.opticsinfobase.org/abstract.cfm?id=116380 ER -