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.
1,261 Citations
Hyperbolic Airy beams
- Physics2013 International Conference on Advanced Optoelectronics and Lasers (CAOL 2013)
- 2013
We discuss finite-energy and infinite-energy Airy beams of the second kind. Similarly to the well-known paraxial Airy beams, these are accelerating beams that can be analytically described in the…
Accelerating parabolic beams.
- PhysicsOptics letters
- 2008
We demonstrate the existence of accelerating parabolic beams that constitute, together with the Airy beams, the only orthogonal and complete families of solutions of the two-dimensional paraxial wave…
Demonstration of diffraction-free, acceleration-free space-time airy beams
- Physics2017 IEEE Photonics Conference (IPC)
- 2017
We experimentally demonstrate pulsed Airy beams that are diffraction-free and acceleration-free by introducing a tight correlation between the spatial and temporal spectra of a femtosecond-pulsed…
Laterally accelerating airy pulses.
- PhysicsOptics express
- 2008
By making use of the recently found expression for finite-energy 2D paraxial Airy beam, three types of ultrashort Airy pulses have been derived and numerically simulated. They differ in frequency…
Depth of Field of Finite Energy Airy Shaped Waves
- Physics
- 2013
In the present paper the analytical aspects related to the maximum invariance depth of propagation finite energy Airy-type beams are investigated, considering not only the usual exponentially dumped…
Airy pulse—A new member of family of localized waves
- Physics
- 2009
By making use of the recently found expression for finite-energy 2-dimensional paraxial Airy beam, three types of ultrashort Airy pulses have been derived and numerically simulated. They differ in…
Dynamical two-dimensional accelerating beams and enhancement of their peak intensities
- Physics2014 Conference on Lasers and Electro-Optics (CLEO) - Laser Science to Photonic Applications
- 2014
We analytically study the propagation dynamics of two-dimensional accelerating beams in a generalized way and propose an optimized method to enhance their peak intensities. Our theoretical analysis…
Observation of accelerating parabolic beams.
- PhysicsOptics express
- 2008
These accelerating parabolic beams are similar to the Airy beams because they exhibit the unusual ability to remain diffraction-free while having a quadratic transverse shift during propagation.
Observation of accelerating Airy beams.
- PhysicsPhysical review letters
- 2007
This work reports the first observation of Airy optical beams, a class of wave packets that can exhibit unusual features such as the ability to remain diffraction-free over long distances while they tend to freely accelerate during propagation.
References
SHOWING 1-10 OF 27 REFERENCES
Diffraction-free beams.
- PhysicsPhysical review letters
- 1987
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.
- PhysicsOptics letters
- 2004
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.
- Physics, MathematicsOptics letters
- 2004
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
- Physics
- 1987
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.
- Physics
- 2005
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.
- PhysicsOptics letters
- 2000
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
- Physics
- 1979
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.
- PhysicsOptics letters
- 1996
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
- PhysicsIEEE 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.…



