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

doi:10.1364/OE.20.019972

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

View Full Text Article

Enhanced HTML Acrobat PDF (890 KB)

Journal Search
Article Lookup

Article Tools

Citations

Alert me when this article is cited
Export Citation/Save

Abstract
Article Info
References (11)
Cited By
Figures (6)
Metrics
Related Content

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.

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

Sort: Author | Year | Journal | Reset

References

G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett.32, 979–981 (2007); and references therein. [CrossRef] [PubMed]
M. I. Carvalho and M. Faco, “Propagation of Airy-related beams,” Opt. Express18, 21938–21949 (2010). [CrossRef] [PubMed]
G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett.99, 213901 (2007). [CrossRef]
I. M. Besieris and A. M. Shaarawi, “A note on an accelerating finite energy Airy beam,” Opt. Lett.32, 2447–2449 (2007). [CrossRef] [PubMed]
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]
X. Chu, G. Zhou, and R. Chen, “Analytical study of the self-healing property of Airy beams,” Phys. Rev. A85, 013815 (2012). [CrossRef]
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).
Y. Kaganovsky and E. Heyman, “Wave analysis of Airy beams,” Opt. Express18, 8440–8452 (2010). [CrossRef] [PubMed]
Y. Kaganovsky and E. Heyman, Nonparaxial wave analysis of three-dimensional Airy beams, J. Opt. Soc. Am. A29, 671–688 (2012). [CrossRef]
E. Greenfield, M. Segev, W. Wallasik, and O. Raz, Accelerating light beams along arbitrary convex trajectories,” Phys. Rev. Lett.106, 213903 (2011). [CrossRef]
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]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Click here to see a list of articles that cite this paper