Spacetime geometries and light trapping in travelling refractive index perturbations

Details Spacetime geometries and light trapping in travelling refractive index perturbations Spacetime geometries and light trapping in travelling refractive index perturbations

2010-06-06

arxiv.org/abs/1006.1097v3

New Journal of Physics,12:095021, 2010

Physics

Optics

14 pages, 7 figures

Scientific paper

10.1088/1367-2630/12/9/095021

In the framework of transformation optics, we show that the propagation of a locally superluminal refractive index perturbation (RIP) in a Kerr medium can be described, in the eikonal approximation, by means of a stationary metric, which we prove to be of Gordon type. Under suitable hypotheses on the RIP, we obtain a stationary but not static metric, which is characterized by an ergosphere and by a peculiar behaviour of the geodesics, which are studied numerically, also accounting for material dispersion. Finally, the equation to be satisfied by an event horizon is also displayed and briefly discussed.

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