Observation of parabolic nondiffracting optical fields
TLDR
The first experimental observation of parabolic non-diffracting beams is reported, and the experimental transverse patterns show an inherent parabolic structure in good agreement with the theoretical predictions.Abstract:
We report the first experimental observation of parabolic non-diffracting beams, the fourth fundamental family of propagation-invariant optical fields of the Helmholtz equation We generate the even and odd stationary parabolic beam and with them we are able to produce traveling parabolic beams It is observed that these fields exhibit a number of unitary in-line vortices that do not interact on propagation The experimental transverse patterns show an inherent parabolic structure in good agreement with the theoretical predictions Our results exhibit a transverse energy flow of traveling beams never observed beforeread more
Citations
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Book ChapterDOI
Soliton Shape and Mobility Control in Optical Lattices
TL;DR: In this article, a progress overview focused on the recent theoretical and experimental advances in the area of soliton manipulation in optical lattices is presented, where the authors consider reconfigurable optically-induced lattices as well as waveguide arrays made in suitable nonlinear materials.
Book ChapterDOI
Propagation-Invariant Optical Fields
TL;DR: In this paper, Turunen and Friberg dealt with a class of fields with propagation-invariant properties such as the optical intensity distribution and applied them to scalar and electromagnetic approaches.
Journal ArticleDOI
Light beats the spread: ``non-diffracting'' beams
TL;DR: The theory, generation, properties, and applications of various non-diffracting beams, including the Bessel beam, Mathieu beam, and Airy beam, are reviewed in this paper.
Journal Article
Holographic generation and orbital angular momentum of high-order Mathieu beams : Special issue on atoms and angular momentum of light
Sabino Chávez-Cerda,Miles J. Padgett,I. Allison,G.H.C. New,Julio C. Gutiérrez-Vega,Anna T. O'Neil,I. Macvicar,Johannes Courtial +7 more
TL;DR: In this article, the first experimental generation of high-order Mathieu beams and confirm their propagation invariance over a limited range were reported, using a computer-generated phase hologram.
Journal ArticleDOI
Observation of the experimental propagation properties of Helmholtz-Gauss beams
TL;DR: In this article, the experimental generation and characterization of four fundamental families of Helmholtz-Gauss beams, namely, cosine Gauss, stationary and helical MathieuGauss beam, sta- tionary and traveling parabolic Gauss beam and Bessel beam, is presented.
References
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Journal ArticleDOI
Exact solutions for nondiffracting beams. I. The scalar theory
TL;DR: In this paper, exact nonsingular solutions of the scalar-wave equation for beams that are non-diffracting were presented, which means that the intensity pattern in a transverse plane is unaltered by propagating in free space.
Journal ArticleDOI
Dislocations in wave trains
John F. Nye,Michael V Berry +1 more
TL;DR: In this paper, it was shown that dislocations are to be expected whenever limited trains of waves, ultimately derived from the same oscillator, travel in different directions and interfere -for example in a scattering problem.
Journal ArticleDOI
Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam
TL;DR: Bessel beams do not diverge and, furthermore, if part of the beam is obstructed or distorted the beam reconstructs itself after a characteristic propagation distance, which may be utilized within optical tweezers to trap particles in multiple, spatially separated sample cells with a single beam.
Journal ArticleDOI
Alternative formulation for invariant optical fields: Mathieu beams
TL;DR: 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.