A radially polarized elegant beam (RPEB) in which the argument of the Laguerre part is complex is introduced and studied. The nonparaxial and paraxial propagation properties of the RPEB are demonstrated analytically and numerically in free space in terms of the vectorial Rayleigh–Sommerfeld formulas. The electric field distribution of the RPEB preserves the radial polarization at any propagation position. For the lowest-order RPEB and the lowest-order radially polarized beam cases, the general expressions for the nonparaxial propagation field are identical in free space. The exact on-axis expression of the RPEB has been provided in closed-form terms for an arbitrary transverse beam size.
© 2007 Optical Society of America
Original Manuscript: June 22, 2006
Revised Manuscript: October 12, 2006
Manuscript Accepted: October 14, 2006
Published: February 15, 2007
Dongmei Deng, Qi Guo, Lijun Wu, and Xiangbo Yang, "Propagation of radially polarized elegant light beams," J. Opt. Soc. Am. B 24, 636-643 (2007)