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. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.

Cacciatori, S., Belgiorno, F., Gorini, V., Ortenzi, G., Rizzi, L., Sala, V., et al. (2010). Spacetime geometries and light trapping in travelling refractive index perturbations. NEW JOURNAL OF PHYSICS, 12(9) [10.1088/1367-2630/12/9/095021].

Spacetime geometries and light trapping in travelling refractive index perturbations

ORTENZI, GIOVANNI;
2010

Abstract

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. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
Articolo in rivista - Articolo scientifico
Analogue gravity in optics;
English
Cacciatori, S., Belgiorno, F., Gorini, V., Ortenzi, G., Rizzi, L., Sala, V., et al. (2010). Spacetime geometries and light trapping in travelling refractive index perturbations. NEW JOURNAL OF PHYSICS, 12(9) [10.1088/1367-2630/12/9/095021].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/56581
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