2002
DOI: 10.1103/physrevd.65.064027
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Analogue gravity from electrodynamics in nonlinear media

Abstract: Working with electrodynamics in the geometrical optics approximation we derive the expression representing an effectively curved geometry which guides the propagation of electromagnetic waves in material media whose physical properties depend on an external electric field. The issue of birefringence is addressed, and the trajectory of the extraordinary ray is explicitly worked out. Quite general curves are obtained for the path of the light ray by suitably setting an electric field.

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Cited by 51 publications
(41 citation statements)
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“…This kinematical analogy implies that acoustic black holes should emit Hawking radiation [3] in the form of a thermal bath of phonons [2,4], thus making possible the experimental verification of such phenomenon. Following Unruh's prediction many different kinds of analogue models has been proposed [5,6,7] but BoseEinstein condensates (BEC) [8,9] are currently the best workbenches for this kind of investigation. The experimental implementation of acoustic black holes in such systems could be possible by setting suitable external potentials to obtain the required background flow.…”
Section: Introductionmentioning
confidence: 99%
“…This kinematical analogy implies that acoustic black holes should emit Hawking radiation [3] in the form of a thermal bath of phonons [2,4], thus making possible the experimental verification of such phenomenon. Following Unruh's prediction many different kinds of analogue models has been proposed [5,6,7] but BoseEinstein condensates (BEC) [8,9] are currently the best workbenches for this kind of investigation. The experimental implementation of acoustic black holes in such systems could be possible by setting suitable external potentials to obtain the required background flow.…”
Section: Introductionmentioning
confidence: 99%
“…In this context, effective geometries were found to describe the modes both for the linear [7,36,37] as well as non-linear [19,20] constitutive relations. The results presented in these references lead us to conclude that electromagnetic waves usually propagate inside material media as if immersed in a curved spacetime.…”
Section: Analogue Models From Electrodynamics In Materials Mediamentioning
confidence: 99%
“…It deals with acoustics [2,[8][9][10][11][12][13][14][15][16][17][18], optics [19][20][21][22][23][24][25][26][27], among others [28][29][30][31][32][33][34][35]. These are only representative references.…”
Section: Introductionmentioning
confidence: 99%
“…The advantage of the using phase-space analysis [41][42][43][44][45][46][47][48][49][81][82][83][84][85][86][87][88][89][90][91] is that one can do more stability analysis with using visual plots using the trajectories in geometrical way so that it becomes easy to observe the property with the help of the attractors which are the most easily seen experimentally [92]. On the other hand, conceptually using NED has the advantage that no need to use some exotic fields such as scalar fields, branes or extra dimensions, it is just photon fields, and it is well known also in nonlinear optics which studying behavior of light in nonlinear media and also nonlinear collision of particles in quantum electrodynamics [93][94][95][96][97][98][99].…”
Section: Introductionmentioning
confidence: 99%