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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 32 — Nov. 10, 2008
  • pp: 6124–6133

Generating hypergeometric laser beams with a diffractive optical element

V. V. Kotlyar, A. A. Kovalev, R. V. Skidanov, S. N. Khonina, and J. Turunen  »View Author Affiliations


Applied Optics, Vol. 47, Issue 32, pp. 6124-6133 (2008)
http://dx.doi.org/10.1364/AO.47.006124


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Abstract

We derive explicit analytical relations to describe paraxial light beams that represent a particular case of the hypergeometric (HyG) laser beams [ J. Opt. Soc. Am. A 25, 262–270 (2008)]. Among these are modified quadratic Bessel–Gaussian beams, hollow Gaussian optical vortices, modified elegant Laguerre– Gaussian beams, and gamma-HyG beams. Using e-beam microlithography, a binary diffractive optical element capable of producing near-HyG beams is synthesized. Theory and experiment are in sufficient agreement. We experimentally demonstrate the ability to rotate dielectric microparticles using the bright diffraction ring of a HyG beam.

© 2008 Optical Society of America

OCIS Codes
(030.4070) Coherence and statistical optics : Modes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(050.4865) Diffraction and gratings : Optical vortices

ToC Category:
Diffraction and Gratings

History
Original Manuscript: March 11, 2008
Revised Manuscript: September 9, 2008
Manuscript Accepted: October 8, 2008
Published: November 7, 2008

Citation
V. V. Kotlyar, A. A. Kovalev, R. V. Skidanov, S. N. Khonina, and J. Turunen, "Generating hypergeometric laser beams with a diffractive optical element," Appl. Opt. 47, 6124-6133 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-32-6124

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