# Covariant kinematics of light in media and a generalized Raychaudhuri equation

@article{Thompson2017CovariantKO, title={Covariant kinematics of light in media and a generalized Raychaudhuri equation}, author={Robert T. Thompson and Mohsen Fathi}, journal={Physical Review D}, year={2017}, volume={96}, pages={105006} }

There is ongoing interest in adopting various tools and ideas from general relativity for optical applications and the study of light propagation through natural or engineered media. Here, the covariant kinematics of light propagating through arbitrary dielectric media in curved space-times are derived, allowing for analysis and tracing of congruences of light through media that may smoothly vary in character between vacuum, positively refracting, and negatively refracting; or null, timelike…

## 5 Citations

### Covariant electrodynamics in linear media: Optical metric

- Physics
- 2017

While the postulate of covariance of Maxwell's equations for all inertial observers led Einstein to special relativity, it was the further demand of general covariance -- form invariance under…

### Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle

- Physics, Mathematics
- 2018

We study field equations for a weak anisotropic model on the tangent Lorentz bundle TM of a spacetime manifold. A geometrical extension of general relativity (GR) is considered by introducing the…

### 2 . 06 87 2 v 2 [ gr-q c ] 8 M ar 2 01 8 Covariant electrodynamics in linear media : Optical metric

- Physics
- 2018

While the postulate of covariance of Maxwell’s equations for all inertial observers led Einstein to special relativity, it was the further demand of general covariance – form invariance under general…

### Homothetic congruences in general relativity

- PhysicsModern Physics Letters A
- 2019

The kinematical characteristics of distinct infalling homothetic fields are discussed by specifying the transverse subspace of their generated congruences to the energy–momentum deposit of the chosen…

### Vorticity in analogue spacetimes

- PhysicsPhysical Review D
- 2019

Analogue spacetimes can be used to probe and study physically interesting spacetime geometries by constructing, either theoretically or experimentally, some notion of an effective Lorentzian metric…

## References

SHOWING 1-10 OF 48 REFERENCES

### Light propagation in generally covariant electrodynamics and the Fresnel equation

- Physics
- 2002

Within the framework of generally covariant (pre-metric) electrodynamics, we specify a local vacuum spacetime relation between the excitation and the field strength F = (E,B). We study the…

### Generalized transformation optics of linear materials

- Mathematics, Physics
- 2011

We continue the development of a manifestly four-dimensional, completely covariant, approach to transformation optics in linear dielectric materials begun in a previous paper. This approach, which…

### Shrinking cloaks in expanding space-times: The role of coordinates and the meaning of transformations in transformation optics

- Physics
- 2015

The fully covariant formulation of transformation optics is used to find the configuration of a cloaking device operating in an expanding universe modelled by a Friedmann-Lema\^itre-Robertson-Walker…

### Analog of gravitational force in hyperbolic metamaterials

- Physics
- 2013

Sub-wavelength confinement of light in nonlinear hyperbolic metamaterials due to formation of spatial solitons has attracted much recent attention because of its seemingly counter-intuitive behavior.…

### Cartographic distortions make dielectric spacetime analog models imperfect mimickers

- Physics
- 2016

It is commonly assumed that if the optical metric of a dielectric medium is identical to the metric of a vacuum space-time then light propagation through the dielectric mimics light propagation in…

### Frequency conversion by exploiting time in transformation optics

- Physics
- 2010

The fundamental framework of transformation optics describes how coordinate transformations on electromagnetic fields can be physically realized through complex material parameters. This approach…

### Electromagnetic Waves in Gravitational Fields

- Physics, Mathematics
- 1960

The scattering of plane electromagnetic waves by the gravitational field of an isolated physical system is studied. On the level of the geometrical optics approximation the general theory of light…

### Weak gravitational field in Finsler–Randers space and Raychaudhuri equation

- Mathematics, Physics
- 2012

The linearized form of the metric of a Finsler–Randers space is studied in relation to the equations of motion, the deviation of geodesics and the generalized Raychaudhuri equation are given for a…

### On the gravitational field acting as an optical medium

- Physics
- 1971

Given a curved space-time with a metric tensorgij, Maxwell's equations may be written as if they were valid in a flat space-time in which there is an optical medium with a constitutive equation.When…

### A spacetime cloak, or a history editor

- Physics
- 2010

We introduce a new type of electromagnetic cloak, the spacetime cloak (STC), which conceals events rather than objects. Non-emitting events occurring during a restricted period are never suspected by…