Accelerating finite energy Airy beams.

@article{Siviloglou2007AcceleratingFE,
  title={Accelerating finite energy Airy beams.},
  author={Georgios A. Siviloglou and Demetrios N. Christodoulides},
  journal={Optics letters},
  year={2007},
  volume={32 8},
  pages={
          979-81
        }
}
We investigate the acceleration dynamics of quasi-diffraction-free Airy beams in both one- and two-dimensional configurations. We show that this class of finite energy waves can retain their intensity features over several diffraction lengths. The possibility of other physical realizations involving spatiotemporal Airy wave packets is also considered. 

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References

SHOWING 1-10 OF 27 REFERENCES
Diffraction-free beams.
TLDR
The first experimental investigation of nondiffracting beams, with beam spots as small as a few wavelengths, can exist and propagate in free space, is reported.
Bessel X waves in two- and three-dimensional bidispersive optical systems.
We show that new families of two- and three-dimensional nondiffracting Bessel X waves are possible in linear bidispersive optical systems. These X waves can be observed in both bulk and waveguide
Parabolic nondiffracting optical wave fields.
TLDR
The existence of parabolic beams that constitute the last member of the family of fundamental nondiffracting wave fields and their associated angular spectrum is demonstrated and their eigenvalue spectrum is continuous.
Exact solutions for nondiffracting beams. I. The scalar theory
We present exact, nonsingular solutions of the scalar-wave equation for beams that are nondiffracting. This means that the intensity pattern in a transverse plane is unaltered by propagating in free
Nondiffracting beams in periodic media.
We identify nondiffracting beams in two-dimensional periodic systems, exhibiting symmetry properties and phase structure characteristic of the band(s) they are associated with.
Alternative formulation for invariant optical fields: Mathieu beams.
TLDR
A class of invariant optical fields that may have a highly localized distribution along one of the transverse directions and a sharply peaked quasi-periodic structure along the other and are described by the radial and angular Mathieu functions is presented.
Nonspreading wave packets
We show that for a wave ψ in the form of an Airy function the probability density ‖ψ‖2 propagates in free space without distortion and with constant acceleration. This ’’Airy packet’’ corresponds
Diffraction-free planar beams in unbiased photorefractive media.
TLDR
It is shown that a new class of nondiffracting planar beams is possible in unbiased photorefractive media and is shown to be compatible with high-performance liquid chromatography.
Nondiffracting X waves-exact solutions to free-space scalar wave equation and their finite aperture realizations
  • J.-y. Lu, J. Greenleaf
  • Physics
    IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control
  • 1992
The authors report families of generalized nondiffracting solutions of the free-space scalar wave equation, and specifically, a subset of these nondiffracting solutions, which are called X waves.
...
1
2
3
...