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.

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

Spacetime geometries and light trapping in travelling refractive index perturbations

Rizzi, L.;
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.
12
9
095021
Cacciatori, S. L.; Belgiorno, F.; Gorini, V.; Ortenzi, G.; Rizzi, L.; Sala, V. G.; Faccio, D.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/128732
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