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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 10 — Apr. 1, 2014
  • pp: 2112–2116

Analysis of the propagation dynamics and Gouy phase of Airy beams using the fast Fresnel transform algorithm

Don M. Cottrell, Jeffrey A. Davis, Cassidy A. Berg, and Christopher Li Freeman  »View Author Affiliations


Applied Optics, Vol. 53, Issue 10, pp. 2112-2116 (2014)
http://dx.doi.org/10.1364/AO.53.002112


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Abstract

There is great interest in Airy beams because they appear to propagate in a curved path. These beams are usually generated by inserting a cubic phase mask onto the input plane of a Fourier transform system. Here, we utilize a fast Fresnel diffraction algorithm to easily derive both the propagation dynamics and the Gouy phase shift for these beams. The trajectories of these beams can be modified by adding additional linear and quadratic phase terms onto the cubic phase mask. Finally, we have rewritten the equations regarding the propagating Airy beams completely in laboratory coordinates for use by experimentalists. Experimental results are included. We expect that these results will be of great importance in applications of Airy beams.

© 2014 Optical Society of America

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

ToC Category:
Geometric Optics

History
Original Manuscript: November 6, 2013
Revised Manuscript: January 28, 2014
Manuscript Accepted: February 17, 2014
Published: March 27, 2014

Citation
Don M. Cottrell, Jeffrey A. Davis, Cassidy A. Berg, and Christopher Li Freeman, "Analysis of the propagation dynamics and Gouy phase of Airy beams using the fast Fresnel transform algorithm," Appl. Opt. 53, 2112-2116 (2014)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-53-10-2112

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