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

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...

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Bibliographic Details
Published in:Optics letters 1994-04, Vol.19 (7), p.427-429
Main Authors: Jordan, R H, Hall, D G
Format: Article
Language:English
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Summary: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.
ISSN:0146-9592
1539-4794
DOI:10.1364/ol.19.000427