Analog of gravitational force in hyperbolic metamaterials

@article{Smolyaninov2013AnalogOG,
  title={Analog of gravitational force in hyperbolic metamaterials},
  author={Igor I. Smolyaninov},
  journal={Physical Review A},
  year={2013},
  volume={88},
  pages={033843}
}
Sub-wavelength confinement of light in nonlinear hyperbolic metamaterials due to formation of spatial solitons has attracted much recent attention because of its seemingly counter-intuitive behavior. In order to achieve self-focusing in a hyperbolic wire medium, a nonlinear self-defocusing Kerr medium must be used as a dielectric host. Here we demonstrate that this behavior finds natural explanation in terms of analogue gravity. Wave equation describing propagation of extraordinary light inside… Expand
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References

SHOWING 1-10 OF 21 REFERENCES
Experimental demonstration of metamaterial "multiverse" in a ferrofluid.
Extraordinary light rays propagating inside a hyperbolic metamaterial look similar to particle world lines in a 2 + 1 dimensional Minkowski spacetime. Magnetic nanoparticles in a ferrofluid are knownExpand
Vacuum in a strong magnetic field as a hyperbolic metamaterial.
TLDR
It is demonstrated that vacuum behaves as a hyperbolic metamaterial, and this behavior may have imprints in the large scale structure of the present-day Universe. Expand
"Planck-scale physics" of vacuum in a strong magnetic field
It is widely believed that Lorentz symmetry of physical vacuum is broken near the Planck scale. Here we show that recently demonstrated "hyperbolic metamaterial" behaviour of vacuum in a strongExpand
Modeling of causality with metamaterials
Hyperbolic metamaterials may be used to model a 2?+?1-dimensional Minkowski space?time in which the role of time is played by one of the spatial coordinates. When a metamaterial is built andExpand
Theory of spatial optical solitons in metallic nanowire materials
We characterize the spatial optical solitons supported by arrays of metallic nanowires embedded in Kerr-type material. The array of nanowires is described using an effective medium model and isExpand
Hyperbolic metamaterial interfaces: Hawking radiation from rindler horizons and the “end of time”
Extraordinary rays in a hyperbolic metamaterial behave as particle world lines in a three dimensional (2+1) Minkowski spacetime. We analyze electromagnetic field behavior at the boundaries of thisExpand
Modeling of time with metamaterials
Metamaterials have already been used to model various exotic optical spaces. Here we demonstrate that mapping of monochromatic extraordinary light distribution in a hyperbolic metamaterial along someExpand
Metric signature transitions in optical metamaterials.
We demonstrate that the extraordinary waves in indefinite metamaterials experience an (--++) effective metric signature. During a metric signature change transition in such a metamaterial, aExpand
Far-field subdiffraction optical microscopy using metamaterial crystals: Theory and simulations
Here we suggest and explore theoretically an idea for a far-field scanless optical microscopy with a subdiffraction resolution. We exploit the special dispersion characteristics of an anisotropicExpand
Subwavelength microwave imaging using an array of parallel conducting wires as a lens
An original realization of a lens capable of transmitting images with subwavelength resolution is proposed. The lens is formed by an array of parallel conducting wires and effectively operates as aExpand
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3
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