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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 15, Iss. 12 — Dec. 1, 1998
  • pp: 3020–3027

Properties and diffraction of vector Bessel–Gauss beams

Pamela L. Greene and Dennis G. Hall  »View Author Affiliations

JOSA A, Vol. 15, Issue 12, pp. 3020-3027 (1998)

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We examine a family of Bessel–Gauss beam solutions to the vector wave equation that allow a combination of azimuthal and radial polarization in the transverse electric field. Recently reported linear and azimuthal Bessel–Gauss beams may be identified as members of this set. Several free parameters determine the form and behavior of each beam; varying these parameters can produce distinctly different intensity patterns and beam behavior. We find a general diffraction integral for circularly symmetric disturbances and investigate two special cases, a thin lens and a circular aperture.

© 1998 Optical Society of America

OCIS Codes
(140.5960) Lasers and laser optics : Semiconductor lasers
(260.1960) Physical optics : Diffraction theory
(260.5430) Physical optics : Polarization
(350.5500) Other areas of optics : Propagation

Original Manuscript: June 8, 1998
Revised Manuscript: August 21, 1998
Manuscript Accepted: August 11, 1998
Published: December 1, 1998

Pamela L. Greene and Dennis G. Hall, "Properties and diffraction of vector Bessel–Gauss beams," J. Opt. Soc. Am. A 15, 3020-3027 (1998)

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  29. Similar results for the m=0 mode, or ABG beam, have been presented in previous work (Ref. 8) for β≈10-6 k, though they are erroneously described therein as for β≈10-3 k.

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