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