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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 25 — Dec. 7, 2009
  • pp: 22432–22441

Nonparaxial diffraction analysis of Airy and SAiry beams

Luis Carretero, Pablo Acebal, Salvador Blaya, Celia Garcia, Antonio Fimia, Roque Madrigal, and Angel Murciano  »View Author Affiliations


Optics Express, Vol. 17, Issue 25, pp. 22432-22441 (2009)
http://dx.doi.org/10.1364/OE.17.022432


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Abstract

We theoretically analyze Airy beams by solving the exact vectorial Helmholtz equation using boundary conditions at a diffraction aperture. As result, the diffracted beams are obtained in the whole space; thus, we demonstrate that the parabolic trajectories are larger than those previously reported, showing that the Airy beams start to form before the Fourier plane. We also demonstrate the possibility of using a new type of Airy beams (SAiry beams) with finite energy that can be generated at the focal plane of the lens due to diffraction by a circular aperture of a spherical wave modified by a cubic phase. The finite energy ensured by the principle of conservation of energy of a diffracted beam.

© 2009 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

History
Original Manuscript: July 27, 2009
Manuscript Accepted: October 28, 2009
Published: November 23, 2009

Citation
Luis Carretero, Pablo Acebal, Salvador Blaya, Celia García, Antonio Fimia, Roque Madrigal, and Angel Murciano, "Nonparaxial diffraction analysis of Airy and SAiry beams," Opt. Express 17, 22432-22441 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-25-22432


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References

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