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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 31, Iss. 6 — Jun. 1, 2014
  • pp: 1239–1246

Beam propagation factors and kurtosis parameters of a Lorentz–Gauss vortex beam

Guoquan Zhou  »View Author Affiliations


JOSA A, Vol. 31, Issue 6, pp. 1239-1246 (2014)
http://dx.doi.org/10.1364/JOSAA.31.001239


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Abstract

Based on the second-order and the higher-order moments, analytical expressions for the beam propagation factors of a Lorentz–Gauss vortex beam with l=1 have been derived, and analytical propagation expressions for the kurtosis parameters of a Lorentz–Gauss vortex beam with l=1 through a paraxial and real ABCD optical system have also been presented. The M2 factor is determined by the parameters a and b and decreases with increasing the parameter a or b. The M2 factor is validated to be larger than 2. The kurtosis parameters depend on the diffraction-free ranges of the Lorentz part, the parameters a and b, and the ratio A/B. The kurtosis parameters of a Lorentz–Gauss vortex beam propagating in free space are demonstrated in different reference planes. In the far field, the kurtosis parameter K decreases with increasing one of the parameters a and b. Upon propagation, the kurtosis parameter K first decreases, then increases, and finally tends to a saturated value. In any case, the kurtosis parameter K is larger than 2. This research is beneficial to optical trapping, guiding, and manipulation of microscopic particles and atoms using Lorentz–Gauss vortex beams.

© 2014 Optical Society of America

OCIS Codes
(350.5500) Other areas of optics : Propagation
(140.3295) Lasers and laser optics : Laser beam characterization
(050.4865) Diffraction and gratings : Optical vortices

ToC Category:
Diffraction and Gratings

History
Original Manuscript: March 24, 2014
Manuscript Accepted: April 14, 2014
Published: May 14, 2014

Citation
Guoquan Zhou, "Beam propagation factors and kurtosis parameters of a Lorentz–Gauss vortex beam," J. Opt. Soc. Am. A 31, 1239-1246 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-6-1239

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