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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 12 — Jun. 4, 2012
  • pp: 13302–13310

Abruptly autofocusing vortex beams

Jeffrey A. Davis, Don M. Cottrell, and David Sand  »View Author Affiliations

Optics Express, Vol. 20, Issue 12, pp. 13302-13310 (2012)

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We generate abruptly autofocusing beams that produce vortices at the focus. We give explicit equations for the phase-only Fourier masks that generate these beams including explanations for controlling the focal distance and numerical aperture. We show experimental results for the focal distance, the vortex pattern and show that the diameter of the focused beam can be made smaller than the size of a comparable Airy beam from a lens. Finally we show how to move the focus spot in three dimensions by encoding additional optical elements onto the phase pattern.

© 2012 OSA

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(350.5500) Other areas of optics : Propagation
(050.4865) Diffraction and gratings : Optical vortices

ToC Category:
Physical Optics

Original Manuscript: April 12, 2012
Revised Manuscript: May 17, 2012
Manuscript Accepted: May 20, 2012
Published: May 29, 2012

Jeffrey A. Davis, Don M. Cottrell, and David Sand, "Abruptly autofocusing vortex beams," Opt. Express 20, 13302-13310 (2012)

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  1. G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett.32(8), 979–981 (2007). [CrossRef] [PubMed]
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  13. J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, “Transmission variations in liquid crystal spatial light modulators caused by interference and diffraction effects,” Opt. Eng.38(6), 1051–1057 (1999). [CrossRef]
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