Generalized Transformation Optics of Linear Materials
arXiv:1006.3364 · doi:10.1088/2040-8978/13/5/055105
Abstract
We continue the development of a manifestly 4-dimensional, completely covariant, approach to transformation optics in linear dielectric materials begun in a previous paper. This approach, which generalizes the Plebanski based approach, is systematically applicable for all transformations and all general linear materials. Importantly, it enables useful applications such as arbitrary relative motion, transformations from arbitrary non-vacuum initial dielectric media, and arbitrary space-times. This approach is demonstrated for a resulting material that moves with uniform linear velocity. The inverse problem of this covariant approach is shown to generalize Gordon's "optical metric".
16 pages, 2 figures. This version: minor clarification to text
References in corpus (11)
- Calculation of material properties and ray tracing in transformation media
- Design of Electromagnetic Cloaks and Concentrators Using Form-Invariant Coordinate Transformations of Maxwell's Equations
- General Relativity in Electrical Engineering
- Relativistic nature of a magnetoelectric modulus of Cr_2O_3-crystals: a new 4-dimensional pseudoscalar and its measurement
- Spacetime metric from linear electrodynamics
- Generalized field-transforming metamaterials
- A Completely Covariant Approach to Transformation Optics
- Dielectric Analog Space-Times
- To consider the electromagnetic field as fundamental, and the metric only as a subsidiary field
- Spacetime metric from local and linear electrodynamics: a new axiomatic scheme
- Transformation Optics in Nonvacuum Initial Dielectric Media
Cited by in corpus (15)
- Controlling Electromagnetic Fields at Boundaries of Arbitrary Geometries
- Covariant electrodynamics in linear media: Optical metric
- Cartographic distortions make dielectric spacetime analog models imperfect mimickers
- Vorticity in analogue spacetimes
- Shrinking cloaks in expanding spacetimes: the role of coordinates and the meaning of transformations in Transformation Optics
- Bespoke analogue space-times: Meta-material mimics
- Generalized Transformation Design: metrics, speeds, and diffusion
- Boyer-Lindquist space-times and beyond: Meta-material analogues
- General Relativistic Contributions in Transformation Optics
- Optical Aharonov-Bohm effect due to toroidal moment inspired by general relativity
- Covariant kinematics of light in media and a generalized Raychaudhuri equation
- Exact results on analogue gravity in optical Plebanski-Tamm media
- Electromagnetic cloaking in convex and concave media with surface modelled as a parameterised function
- Exact results in a punctured neighborhood of a strong curvature singularity
- Optical analogues to the Kerr-Newman black hole