TY - JOUR
T1 - Spacetime geometries and light trapping in travelling refractive index perturbations
AU - Cacciatori, S. L.
AU - Belgiorno, F.
AU - Gorini, V.
AU - Ortenzi, G.
AU - Rizzi, L.
AU - Sala, V. G.
AU - Faccio, D.
PY - 2010/9/30
Y1 - 2010/9/30
N2 - 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.
AB - 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.
U2 - 10.1088/1367-2630/12/9/095021
DO - 10.1088/1367-2630/12/9/095021
M3 - Article
SN - 1367-2630
VL - 12
SP - -
JO - New Journal of Physics
JF - New Journal of Physics
M1 - 095021
ER -