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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 18 — Aug. 27, 2012
  • pp: 19972–19977

Analytic description of Airy-type beams when truncated by finite apertures

Michel Zamboni-Rached, K. Z. Nóbrega, and C. A. Dartora  »View Author Affiliations


Optics Express, Vol. 20, Issue 18, pp. 19972-19977 (2012)
http://dx.doi.org/10.1364/OE.20.019972


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Abstract

In this paper, we have developed an analytic method for describing Airy-type beams truncated by finite apertures. This new approach is based on suitable superposition of exponentially decaying Airy beams. Regarding both theoretical and numerical aspects, the results here shown are interesting because they have been quickly evaluated through a simple analytic solution, whose propagation characteristics agree with those already published in literature through the use of numerical methods. To demonstrate the method’s potentiality three different truncated beams have been analyzed: ideal Airy, Airy-Gauss and Airy-Exponential.

© 2012 OSA

OCIS Codes
(260.1960) Physical optics : Diffraction theory

ToC Category:
Physical Optics

History
Original Manuscript: July 3, 2012
Revised Manuscript: August 2, 2012
Manuscript Accepted: August 3, 2012
Published: August 15, 2012

Citation
Michel Zamboni-Rached, K. Z. Nóbrega, and C. A. Dartora, "Analytic description of Airy-type beams when truncated by finite apertures," Opt. Express 20, 19972-19977 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-18-19972


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References

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