Transformation optics asks, using Maxwell's equations, what kind of electromagnetic
medium recreates some smooth deformation of space? The guiding principle is Einstein's …

Combination of topology and general relativity can lead to some profound and farsighted
predictions. It is well known that symmetry breaking of the Higgs vacuum field in the early …

Propagation of light in a metamaterial medium which mimics curved spacetime and acts like
a black hole is studied. We show that for a particular type of spacetimes and wave …

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 …

Material electromagnetic duality symmetry requires a system to have equal electric and
magnetic responses. Intrinsically dual materials that meet the duality conditions at the level …

Though it is still a big challenge to unify general relativity and quantum mechanics in
modern physics, the theory of quantum field related with the gravitational effect has been …

We demonstrate that a fully metallic and air-filled geodesic waveguide can be employed as
an analog electromagnetic model of a static and spherically symmetric gravitational field. By …

This article shows that the compactified Milne universe geometry, a toy model for the big
crunch/big bang transition, can be realized in hyperbolic metamaterials, a new class of …

The advances in geometric approaches to optical devices due to transformation optics has
led to the development of cloaks, concentrators, and other devices. It has also been shown …

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