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Spacetime geometries and light trapping in travelling refractive index perturbations

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Published 30 September 2010 Published under licence by IOP Publishing Ltd
, , Citation S L Cacciatori et al 2010 New J. Phys. 12 095021 DOI 10.1088/1367-2630/12/9/095021

1367-2630/12/9/095021

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.

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