Journal
OPTICS COMMUNICATIONS
Volume 284, Issue 19, Pages 4263-4271Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.optcom.2011.05.068
Keywords
Airy beams; Specular Airy beams; Astigmatic transform; Vortical beams; Orbital angular momentum
Categories
Funding
- Russian-American program Basic Research and Higher Education [PG08-014-1]
- RFBR [10-07-00109-a, 10-07-00438-a]
- RF [NSh-7414.2010.9]
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A new kind of truncated Airy beams is investigated and discussed. These beams are a superposition of shifted and truncated Airy functions and its specular counterparts, where zeroes or extremal points of the Airy function are chosen as a truncation point. The specular Airy beams are smooth at the truncation point and produce a diffraction pattern similar to Hermite-Gaussian modes. Under propagation in Fresnel zone, specular Airy beams demonstrate a symmetrical acceleration in opposite sides and the beam divergence is proportional to the traveled distance squared. The astigmatic mode converter transforms a two-dimensional specular Airy beam into a quasi-annular field with a nonzero orbital angular momentum. Vortical Airy beams based on truncated Airy functions are also discussed. These beams are similar to Laguerre-Gaussian modes, while their annular structure is changed during propagation. (C) 2011 Elsevier B.V. All rights reserved.
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