It is common practice to work in the approximation that beam-like radiation fields are polarized transverse to the propagation axis. However, even in the paraxial approximation, this fails to correctly describe beam polarization and propagation characteristics. We present here the paraxial Maxwell’s equations for beams having cylindrical polarization, which describe the full vector structure of these beams in the paraxial regime. The effect that these relations have on the polarization and propagation of cylindrically polarized Laguerre–Gauss and Bessel–Gauss beams is subsequently explored.
© 2014 Optical Society of America
Original Manuscript: April 11, 2014
Revised Manuscript: May 21, 2014
Manuscript Accepted: May 21, 2014
Published: June 25, 2014
William E. Lewis and Reeta Vyas, "Maxwell-Gaussian beams with cylindrical polarization," J. Opt. Soc. Am. A 31, 1595-1603 (2014)