Calculation of material properties and ray tracing in transformation media

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.

Cited by in corpus (43)

• Hiding Under the Carpet: a New Strategy for Cloaking
• Design of Electromagnetic Cloaks and Concentrators Using Form-Invariant Coordinate Transformations of Maxwell's Equations
• Transformation media that rotate electromagnetic fields
• Optical design of reflectionless complex media by finite embedded coordinate transformations
• Electromagnetic wormholes and virtual magnetic monopoles
• Electromagnetic cloaking by layered structure of homogeneous isotropic materials
• Full-wave invisibility of active devices at all frequencies
• Design and analytically full-wave validation of the invisibility cloaks, concentrators, and field rotators created with a general class of transformations
• Alternative Derivation of Electromagnetic Cloaks and Concentrators
• Full-wave finite-difference time-domain simulation of electromagnetic cloaking structures
• New metamaterials with macroscopic behavior outside that of continuum elastodynamics
• Extraordinary surface voltage effect in the invisibility cloak with an active device inside
• Electromagnetic wave manipulation using layered systems
• The Anti-Cloak
• Invisibility cloak without singularity
• Ultra directive antenna via transformation optics
• Design and experimental demonstration of a high-directive emission with optical transformations
• Ground-Plane Quasi-Cloaking for Free Space
• A rigorous analysis of high order electromagnetic invisibility cloaks
• A Radial-Dependent Dispersive Finite-Difference Time-Domain Method for the Evaluation of Electromagnetic Cloaks
• Directive Emission Obtained by Coordinate Transformation
• A Completely Covariant Approach to Transformation Optics
• Controlling the Emission of Electromagnetic Sources by Coordinate transformation
• The Boundary Conditions for Point Transformed Electromagnetic Invisibility Cloaks
• Reshape the perfect electrical conductor cylinder at will
• Coordinate transformation based design of confined metamaterial structures
• Dielectric Analog Space-Times
• Gradient Optics of subwavelength nanofilms
• A diameter--bandwidth product limitation of isolated-object cloaking
• Photonic crystal waveguide crossing based on transformation optics
• Time delays and energy transport velocities in three dimensional ideal cloaking
• Generalized Transformation Optics of Linear Materials
• Transformation media that turn a narrow slit into a large window
• Electromagnetic wormholes via handlebody constructions
• Surface second-harmonic from metallic nanoparticle configurations - a transformation optics approach
• Ideal and nonideal electromagnetic cloaks
• Second-harmonic generation from singular metasurfaces
• Coordinate transformations and matter waves cloaking
• A possible approach on optical analogues of gravitational attractors
• A differential geometry approach to asymmetric transmission of light
• Hyperbolic Continuous Topological Transition in Real Space
• Application of Transformation Optics for the Purpose of Cloaking
• Manifold Optics