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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 19 — Sep. 23, 2013
  • pp: 22221–22231

Generation of arbitrary complex quasi-non-diffracting optical patterns

Antonio Ortiz-Ambriz, Servando Lopez-Aguayo, Yaroslav V. Kartashov, Victor A. Vysloukh, Dmitri Petrov, Hipolito Garcia-Gracia, Julio C. Gutiérrez-Vega, and Lluis Torner  »View Author Affiliations


Optics Express, Vol. 21, Issue 19, pp. 22221-22231 (2013)
http://dx.doi.org/10.1364/OE.21.022221


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Abstract

Due to their unique ability to maintain an intensity distribution upon propagation, non-diffracting light fields are used extensively in various areas of science, including optical tweezers, nonlinear optics and quantum optics, in applications where complex transverse field distributions are required. However, the number and type of rigorously non-diffracting beams is severely limited because their symmetry is dictated by one of the coordinate system where the Helmholtz equation governing beam propagation is separable. Here, we demonstrate a powerful technique that allows the generation of a rich variety of quasi-non-diffracting optical beams featuring nearly arbitrary intensity distributions in the transverse plane. These can be readily engineered via modifications of the angular spectrum of the beam in order to meet the requirements of particular applications. Such beams are not rigorously non-diffracting but they maintain their shape over large distances, which may be tuned by varying the width of the angular spectrum. We report the generation of unique spiral patterns and patterns involving arbitrary combinations of truncated harmonic, Bessel, Mathieu, or parabolic beams occupying different spatial domains. Optical trapping experiments illustrate the opto-mechanical properties of such beams.

© 2013 OSA

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(070.3185) Fourier optics and signal processing : Invariant optical fields

ToC Category:
Physical Optics

History
Original Manuscript: July 5, 2013
Revised Manuscript: August 30, 2013
Manuscript Accepted: September 2, 2013
Published: September 12, 2013

Citation
Antonio Ortiz-Ambriz, Servando Lopez-Aguayo, Yaroslav V. Kartashov, Victor A. Vysloukh, Dmitri Petrov, Hipolito Garcia-Gracia, Julio C. Gutiérrez-Vega, and Lluis Torner, "Generation of arbitrary complex quasi-non-diffracting optical patterns," Opt. Express 21, 22221-22231 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-19-22221


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