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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 19, Iss. 7 — Apr. 1, 1994
  • pp: 427–429

Free-space azimuthal paraxial wave equation: the azimuthal Bessel–Gauss beam solution

Rebecca H. Jordan and Dennis G. Hall  »View Author Affiliations


Optics Letters, Vol. 19, Issue 7, pp. 427-429 (1994)
http://dx.doi.org/10.1364/OL.19.000427


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Abstract

We develop a paraxial wave equation for an azimuthally polarized field propagating in free space. The equation’s beamlike solution is composed of a plane-wave propagation factor multiplied by a Bessel function of the first kind, of order one, and a Gaussian factor, which describe the transverse characteristics of the beam. We compare the propagation characteristics of the azimuthal Bessel–Gauss beam solution with a solution of the more familiar scalar paraxial wave equation, the linearly polarized Bessel–Gauss beam.

© 1994 Optical Society of America

History
Original Manuscript: September 22, 1993
Published: April 1, 1994

Citation
Rebecca H. Jordan and Dennis G. Hall, "Free-space azimuthal paraxial wave equation: the azimuthal Bessel–Gauss beam solution," Opt. Lett. 19, 427-429 (1994)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-19-7-427

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