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