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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 27, Iss. 12 — Dec. 1, 2010
  • pp: 2574–2582

Airy beams: a geometric optics perspective

Sophie Vo, Kyle Fuerschbach, Kevin P. Thompson, Miguel A. Alonso, and Jannick P. Rolland  »View Author Affiliations


JOSA A, Vol. 27, Issue 12, pp. 2574-2582 (2010)
http://dx.doi.org/10.1364/JOSAA.27.002574


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Abstract

Theoretically formulated in the 1970s within the context of nonrelativistic quantum mechanics, Airy beams have been experimentally realized for the first time only recently, paving the way to innovative optical techniques. While their remarkable features, a non-diffracting property and a transverse shift of the intensity maximum during propagation, are currently theoretically described from the wave optics viewpoint, here their exact relation to rays and geometric wavefront aberrations is revealed using a wavefront family that includes two-dimensional Airy beams. Several members of this family are computationally and experimentally implemented here. The lateral shift of Airy beams during propagation is presented in the context of the three-dimensional caustic representation. This new description allows re-emphasizing the use of “Airy-like” beams in computational imaging for depth of focus extension.

© 2010 Optical Society of America

OCIS Codes
(080.1510) Geometric optics : Propagation methods
(080.2720) Geometric optics : Mathematical methods (general)
(220.1010) Optical design and fabrication : Aberrations (global)
(070.3185) Fourier optics and signal processing : Invariant optical fields

ToC Category:
Geometric Optics

History
Original Manuscript: September 7, 2010
Manuscript Accepted: October 7, 2010
Published: November 11, 2010

Citation
Sophie Vo, Kyle Fuerschbach, Kevin P. Thompson, Miguel A. Alonso, and Jannick P. Rolland, "Airy beams: a geometric optics perspective," J. Opt. Soc. Am. A 27, 2574-2582 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-12-2574


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