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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)

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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

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

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)

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  1. G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett.32, 979–981 (2007); and references therein. [CrossRef] [PubMed]
  2. M. I. Carvalho and M. Faco, “Propagation of Airy-related beams,” Opt. Express18, 21938–21949 (2010). [CrossRef] [PubMed]
  3. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett.99, 213901 (2007). [CrossRef]
  4. I. M. Besieris and A. M. Shaarawi, “A note on an accelerating finite energy Airy beam,” Opt. Lett.32, 2447–2449 (2007). [CrossRef] [PubMed]
  5. J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, “Self-healing properties of optical Airy beams,” Opt. Express16, 12880–12891 (2008). [CrossRef] [PubMed]
  6. X. Chu, G. Zhou, and R. Chen, “Analytical study of the self-healing property of Airy beams,” Phys. Rev. A85, 013815 (2012). [CrossRef]
  7. D. Choi, Y. Lim, I.-M. Lee, S. Roh, and B. Lee, “Airy beam excitation using a subwavelength metallic slit array,” IEEE Photon. Technol. Lett. (Accepted for publication).
  8. Y. Kaganovsky and E. Heyman, “Wave analysis of Airy beams,” Opt. Express18, 8440–8452 (2010). [CrossRef] [PubMed]
  9. Y. Kaganovsky and E. Heyman, Nonparaxial wave analysis of three-dimensional Airy beams, J. Opt. Soc. Am. A29, 671–688 (2012). [CrossRef]
  10. E. Greenfield, M. Segev, W. Wallasik, and O. Raz, Accelerating light beams along arbitrary convex trajectories,” Phys. Rev. Lett.106, 213903 (2011). [CrossRef]
  11. F. Courvoisier, A. Mathis, L. Froehly, R. Giust, L. Furfaro, P. A. Lacourt, M. Jacquot, and J. M. Dudley, “Sending femtosecond pulses in circles: highly nonparaxial accelerating beams,” Opt. Lett.37, 1736–1738 (2012). [CrossRef] [PubMed]

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