Spacetime geometries and light trapping in travelling refractive index perturbations

S. L. Cacciatori, F. Belgiorno, V. Gorini, G. Ortenzi, L. Rizzi, V. G. Sala, D. Faccio

Research output: Contribution to journalArticle

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.

Original languageEnglish
Article number095021
Pages (from-to)-
Number of pages14
JournalNew Journal of Physics
Volume12
DOIs
Publication statusPublished - 30 Sep 2010

Cite this

Cacciatori, S. L., Belgiorno, F., Gorini, V., Ortenzi, G., Rizzi, L., Sala, V. G., & Faccio, D. (2010). Spacetime geometries and light trapping in travelling refractive index perturbations. New Journal of Physics, 12, -. [095021]. https://doi.org/10.1088/1367-2630/12/9/095021
Cacciatori, S. L. ; Belgiorno, F. ; Gorini, V. ; Ortenzi, G. ; Rizzi, L. ; Sala, V. G. ; Faccio, D. / Spacetime geometries and light trapping in travelling refractive index perturbations. In: New Journal of Physics. 2010 ; Vol. 12. pp. -.
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Cacciatori, SL, Belgiorno, F, Gorini, V, Ortenzi, G, Rizzi, L, Sala, VG & Faccio, D 2010, 'Spacetime geometries and light trapping in travelling refractive index perturbations', New Journal of Physics, vol. 12, 095021, pp. -. https://doi.org/10.1088/1367-2630/12/9/095021

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, Vol. 12, 095021, 30.09.2010, p. -.

Research output: Contribution to journalArticle

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AU - Cacciatori, S. L.

AU - Belgiorno, F.

AU - Gorini, V.

AU - Ortenzi, G.

AU - Rizzi, L.

AU - Sala, V. G.

AU - Faccio, D.

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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.

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Cacciatori SL, Belgiorno F, Gorini V, Ortenzi G, Rizzi L, Sala VG et al. Spacetime geometries and light trapping in travelling refractive index perturbations. New Journal of Physics. 2010 Sep 30;12:-. 095021. https://doi.org/10.1088/1367-2630/12/9/095021