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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: 2040–2050

Arithmetic of focused vortex beams in three-dimensional optical lattice arrays

Jeffrey A. Davis, Don M. Cottrell, Kyle R. McCormick, Jorge Albero, and Ignacio Moreno  »View Author Affiliations


Applied Optics, Vol. 53, Issue 10, pp. 2040-2050 (2014)
http://dx.doi.org/10.1364/AO.53.002040


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Abstract

In this work, we present a method to generate a 3D lattice of vortex beams. We apply phase look-up tables (LUTs) designed to generate gratings having an arbitrary content of diffraction orders. This phase LUT can be applied to a variety of diffraction optical elements, such as linear phase gratings, blazed diffractive lenses, and spiral phase patterns. We concentrate on combinations of all of these to create 3D structures of vortex beams. In particular, we generate all of these elements in the first output quadrant and eliminate the zero-order diffraction that often unavoidably accompanies these patterns. We discuss different ways of producing these 3D vortex gratings, and how the various output beams are related to the arithmetic of the 3D distribution of topological charges. Experimental results are provided by means of a liquid crystal spatial light modulator.

© 2014 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1965) Diffraction and gratings : Diffractive lenses
(050.4865) Diffraction and gratings : Optical vortices
(070.6120) Fourier optics and signal processing : Spatial light modulators

ToC Category:
Diffraction and Gratings

History
Original Manuscript: December 13, 2013
Revised Manuscript: February 7, 2014
Manuscript Accepted: February 14, 2014
Published: March 25, 2014

Citation
Jeffrey A. Davis, Don M. Cottrell, Kyle R. McCormick, Jorge Albero, and Ignacio Moreno, "Arithmetic of focused vortex beams in three-dimensional optical lattice arrays," Appl. Opt. 53, 2040-2050 (2014)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-53-10-2040


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