We examine the free-space propagation characteristics of an azimuthally polarized, circularly symmetric beam, such as that emitted by a concentric-circle-grating surface-emitting laser. We begin with the appropriate scalar wave equation and then find the azimuthal Bessel–Gauss beam solution, using both a Cartesian decomposition method and an angular spectrum representation. We find a general azimuthal diffraction integral for circularly symmetric disturbances and examine two special cases, a thin lens and a circular aperture; the azimuthally polarized beam remains well behaved in both cases. Plots of radial field profiles and longitudinal beam-waist evolution are presented.
© 1996 Optical Society of America
Original Manuscript: July 17, 1995
Revised Manuscript: December 4, 1995
Manuscript Accepted: November 14, 1995
Published: May 1, 1996
Pamela L. Greene and Dennis G. Hall, "Diffraction characteristics of the azimuthal Bessel–Gauss beam," J. Opt. Soc. Am. A 13, 962-966 (1996)