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 (87)

• 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
• Discontinuous Electromagnetic Fields Using Huygens Sources For Wavefront Manipulation
• 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
• On some constraints that limit the design of an invisibility cloak
• Experimental demonstration of non-magnetic metamaterial cloak at microwave frequencies
• Alternative Derivation of Electromagnetic Cloaks and Concentrators
• Transformation optics that mimics the system outside a Schwarzschild black hole
• 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
• Compact-sized and broadband carpet cloak and free-space cloak
• Ultra directive antenna via transformation optics
• A Rigorous Analysis of Plane-transformed Invisibility Cloaks
• Waveguide taper engineering using coordinate transformation technology
• Design and experimental demonstration of a high-directive emission with optical transformations
• Approaches to Three-Dimensional Transformation Optical Media Using Quasi-Conformal Coordinate Transformations
• Ground-Plane Quasi-Cloaking for Free Space
• Non-Abelian gauge field optics
• A rigorous analysis of high order electromagnetic invisibility cloaks
• Delay-bandwidth and delay-loss limitations for cloaking of large objects
• Casimir Energy, Holographic Dark Energy and Electromagnetic Metamaterial Mimicking de Sitter
• Directive Emission Obtained by Coordinate Transformation
• Infrared carpet cloak designed with uniform silicon grating structure
• A Radial-Dependent Dispersive Finite-Difference Time-Domain Method for the Evaluation of Electromagnetic Cloaks
• Conceal an entrance by means of superscatterer
• Spherical cloaking using nonlinear transformations for improved segmentation into concentric isotropic coatings
• Controlling the Emission of Electromagnetic Sources by Coordinate transformation
• A Completely Covariant Approach to Transformation Optics
• The Boundary Conditions for Point Transformed Electromagnetic Invisibility Cloaks
• Reshape the perfect electrical conductor cylinder at will
• Macroscopic Maxwell's equations and negative index materials
• 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
• Making Waves Round a Structured Cloak: Lattices, Negative Refraction and Fringes
• Dr TIM: Ray-tracer TIM, with additional specialist scientific capabilities
• Photonic crystal waveguide crossing based on transformation optics
• Time delays and energy transport velocities in three dimensional ideal cloaking
• Invisibility Cloaks Modeled by Anisotropic Metamaterials Based on Inductor-capacitor Networks
• Full-wave parallel dispersive finite-difference time-domain modeling of three-dimensional electromagnetic cloaking structures
• Invisibility cloaks in relativistic motion
• Generalized Transformation Optics of Linear Materials
• Confining Light in Deep Subwavelength Electromagnetic Cavities
• Newtonian photorealistic ray tracing of grating cloaks and correlation-function-based cloaking-quality assessment
• Transformation media that turn a narrow slit into a large window
• A class of line-transformed cloaks with easily-realizable constitutive parameters
• Perfect imaging with geodesic waveguides
• Electromagnetic wormholes via handlebody constructions
• Surface second-harmonic from metallic nanoparticle configurations - a transformation optics approach
• Luneburg lens waveguide networks
• Time-of-flight imaging of invisibility cloaks
• Photorealistic rendering of unidirectional free-space invisibility cloaks
• Nearly-Perfect Non-Magnetic Invisibility Cloaking: Analytic Solutions and Parametric Studies
• General scaling limitations of ground-plane and isolated-object cloaks
• Watching outside while under a carpet cloak of invisibility
• Free-space Excitation of Resonant Cavities formed from Cloaking Metamaterial
• Fresnel-Fizeau drag: Invisibility conditions for all inertial observers
• Reflectionless design of optical elements using impedance-tunable coordinate transformation
• Broadband Extraordinary Transmission in a Single Sub-wavelength Aperture
• Ideal and nonideal electromagnetic cloaks
• Photorealistic ray tracing of free-space invisibility cloaks made of uniaxial dielectrics
• Optical Anisotropy of Schwarzschild Metric within Equivalent Medium Framework
• Method for arbitrary phase transformation by a slab based on transformation optics and the principle of equal optical path
• The geodesic form of light-ray trace in the inhomogeneous media
• General Relativistic Contributions in Transformation Optics
• The effect of electrostatic shielding using invisibility cloak
• Optical Aharonov-Bohm effect due to toroidal moment inspired by general relativity
• 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
• Electromagnetic cloaking in convex and concave media with surface modelled as a parameterised function
• Designing wave vector manipulation devices using a transformation optics approach
• Hyperbolic Continuous Topological Transition in Real Space
• Application of Transformation Optics for the Purpose of Cloaking
• Achieving acoustic cloak by using compressible background flow
• Manifold Optics