Analogue gravity and ultrashort laser pulse filamentation

Abstract

Ultrashort laser pulse filaments in dispersive nonlinear Kerr media induce a moving refractive index perturbation which modifies the space-time geometry as seen by co-propagating light rays. We study the analogue geometry induced by the filament and show that one of the most evident features of filamentation, namely conical emission, may be precisely reconstructed from the geodesics. We highlight the existence of favorable conditions for the study of analogue black hole kinematics and Hawking type radiation.

Regularizing Aperiodic Cycles of Resonant Radiation in Filament Light Bullets

“…It is used for the investigation of, e.g., supercontinuum [5], high harmonic [6], or terahertz generation [7], few-cycle pulse generation [8], or complex nonlinear dynamics as self-organization [9]. Analogies to other areas of physics as artificial event horizons [10] or the ubiquitous rogue wave formation [11][12][13] have been shown, providing a useful test for the investigation Hawking radiation [14] or the predictability of extreme events [15].…”

Laser pulse analogues for gravity and analogue Hawking radiation

“…The multiplicative factor in Equation (11) is simply the Doppler shift that transforms the temperature from the comoving frame to the laboratory frame. When viewed from the forward direction, y ¼ 08, the temperature measured in the laboratory frame is therefore predicted to be of the order 1000 K or more [33,37,44].…”

“…One possibility that has been proposed [44,63,64] is to use so-called filaments. The term filament, or light filament, denotes the formation of a dynamical structure with an intense core that is able to propagate over extended distances much larger than the typical diffraction length while keeping a narrow beam size without the help of any external guiding mechanism [65].…”

Hawking radiation from a dielectric black hole

“…where γ = 1/ 1 − (v/c) 2 (Faccio et al 2010). Belgiorno et al (2011) thought that refractive index could be written as…”

“…China e-mail: zhaoren2969@yahoo.com.cn hole is so low that any experiments cannot reach such low temperature. For example, for a Schwarzschild black hole with the same order of magnitude compared with solar mass, its radiation temperature just is 10 −7 K. Therefore, in the laboratory Hawking effect is investigated by simulated black holes (Unruh 1981;Belgiorno et al 2010aBelgiorno et al , 2010bFaccio et al 2010;Schutzhold and Unruh 2011;Philbin et al 2008;Belgiorno et al 2011).…”