2010/06/30 by S L Cacciatori, F. Belgiorno, S. L. Cacciatori +11 · 29 citations
Physics and Astronomy · #Eikonal approximation #Eikonal equation #Event horizon #Nonlinear Photonic Systems #Orbital Angular Momentum in Optics #Perturbation (astronomy) #Quantum optics and atomic interactions #Refractive index #Spacetime #Superluminal motion #Trapping #gr-qc #physics.optics
paper · pdf · doi:10.1088/1367-2630/12/9/095021
published in New Journal of Physics 12(9), 095021 (IOP Publishing) · 14 pages, 7 figures
openalex publication_date 2010/09/30 · arxiv created 2010/10/05 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.