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Optics Letters

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  • Editor: Anthony J. Campillo
  • Vol. 32, Iss. 24 — Dec. 15, 2007
  • pp: 3543–3545

Integral transformation solution of free-space cylindrical vector beams and prediction of modified Bessel–Gaussian vector beams

Chun-Fang Li  »View Author Affiliations


Optics Letters, Vol. 32, Issue 24, pp. 3543-3545 (2007)
http://dx.doi.org/10.1364/OL.32.003543


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Abstract

A unified description of free-space cylindrical vector beams is presented that is an integral transformation solution to the vector Helmholtz equation and the transversality condition. In the paraxial condition, this solution not only includes the known J 1 Bessel–Gaussian vector beam and the axisymmetric Laguerre–Gaussian vector beam that were obtained by solving the paraxial wave equations but also predicts two kinds of vector beam, called a modified Bessel–Gaussian vector beam.

© 2007 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation
(140.3295) Lasers and laser optics : Laser beam characterization

ToC Category:
Physical Optics

History
Original Manuscript: September 21, 2007
Revised Manuscript: November 8, 2007
Manuscript Accepted: November 10, 2007
Published: December 11, 2007

Citation
Chun-Fang Li, "Integral transformation solution of free-space cylindrical vector beams and prediction of modified Bessel-Gaussian vector beams," Opt. Lett. 32, 3543-3545 (2007)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-32-24-3543


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