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Optics Letters

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  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 8 — Apr. 15, 2014
  • pp: 2507–2510

Nonparaxial shape-preserving Airy beams with Bessel signature

Carlos J. Zapata-Rodríguez and Mahin Naserpour  »View Author Affiliations


Optics Letters, Vol. 39, Issue 8, pp. 2507-2510 (2014)
http://dx.doi.org/10.1364/OL.39.002507


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Abstract

Spatially accelerating beams that are solutions to Maxwell equations may propagate along incomplete circular trajectories. Taking these truncated Bessel fields to the paraxial limit, some authors have sustained that it has recovered the known Airy beams (AiBs). Based on the angular spectrum representation of optical fields, we demonstrated that the paraxial approximation rigorously leads to off-axis focused beams instead of finite-energy AiBs. The latter will arise under the umbrella of a nonparaxial approach following elliptical trajectories in place of parabolas. The analytical expression of such a shape-preserving wave field under Gaussian apodization is disclosed by using third-order nonparaxial coefficients. Deviations from full-wave simulations appear more severely in beam positioning rather than its local profile.

© 2014 Optical Society of America

OCIS Codes
(260.1960) Physical optics : Diffraction theory
(070.3185) Fourier optics and signal processing : Invariant optical fields
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: February 4, 2014
Revised Manuscript: March 21, 2014
Manuscript Accepted: March 21, 2014
Published: April 15, 2014

Citation
Carlos J. Zapata-Rodríguez and Mahin Naserpour, "Nonparaxial shape-preserving Airy beams with Bessel signature," Opt. Lett. 39, 2507-2510 (2014)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-39-8-2507


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