Perfect imaging with positive refraction in three dimensions (2009)
Leonhardt, Ulf, Philbin, Thomas G.
Maxwell's fish eye has been known to be a perfect lens within the validity range of ray optics since 1854. Solving Maxwell's equations we show that the fish-eye lens in three dimensions has unlimited...
Transformation Optics and the Geometry of Light (2008)
Leonhardt, Ulf, Philbin, Thomas G.
Metamaterials are beginning to transform optics and microwave technology thanks to their versatile properties that, in many cases, can be tailored according to practical needs and desires. Although...
Black Hole Lasers Revisited (2008)
Leonhardt, Ulf, Philbin, Thomas G.
The production of Hawking radiation by a single horizon is not dependent on the high-frequency dispersion relation of the radiated field. When there are two horizons, however, Corley and Jacobson...
Rousseaux, Germain, Mathis, Christian, Maissa, Philippe, Philbin, Thomas G., Leonhardt, Ulf
The conversion of positive-frequency waves into negative-frequency waves at the event horizon is the mechanism at the heart of the Hawking radiation of black holes. In black-hole analogues, horizons...
Fiber-optical analogue of the event horizon (2007)
Philbin, Thomas G., Kuklewicz, Chris, Robertson, Scott, Hill, Stephen, Konig, Friedrich, Leonhardt, Ulf
The physics at the event horizon resembles the behavior of waves in moving media. Horizons are formed where the local speed of the medium exceeds the wave velocity. We use ultrashort pulses in...
Fiber-optical analogue of the event horizon: Appendices (2007)
Philbin, Thomas G., Kuklewicz, Chris, Robertson, Scott, Hill, Stephen, Konig, Friedrich, Leonhardt, Ulf
We explain the theory behind our fiber-optical analogue of the event horizon and present the experiment in detail.
Quantum optics of spatial transformation media (2007)
Leonhardt, Ulf, Philbin, Thomas G.
Transformation media are at the heart of invisibility devices, perfect lenses and artificial black holes. In this paper, we consider their quantum theory. We show how transformation media map quantum...
General Relativity in Electrical Engineering (2006)
Leonhardt, Ulf, Philbin, Thomas G.
In electrical engineering metamaterials have been developed that offer unprecedented control over electromagnetic fields. Here we show that general relativity lends the theoretical tools for...
Perfect-fluid cylinders and walls - sources for the Levi-Civita space-time (1995)
The diagonal metric tensor whose components are functions of one spatial coordinate is considered. Einstein's field equations for a perfect-fluid source are reduced to quadratures once a generating...