Abstract

A unified description of free-space cylindrical vector beams is presented that is an integral transformation solution to the vector Helmholtz equation and the transversality condition. In the paraxial condition, this solution not only includes the known $J_1$ Bessel–Gaussian vector beam and the axisymmetric Laguerre–Gaussian vector beam that were obtained by solving the paraxial wave equations but also predicts two kinds of vector beam, called a modified Bessel–Gaussian vector beam.

© 2007 Optical Society of America

Free-space azimuthal paraxial wave equation: the azimuthal Bessel–Gauss beam solution

Rebecca H. Jordan and Dennis G. Hall
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Streamlines and topological transformation of modified vector Bessel–Gauss beams

Missael Sepulveda-Rios and Julio C. Gutiérrez-Vega
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Propagation of generalized vector Helmholtz-Gauss beams through paraxial optical systems

Raul I. Hernandez-Aranda, Julio C. Gutiérrez-Vega, Manuel Guizar-Sicairos, and Miguel A. Bandres
Opt. Express 14(20) 8974-8988 (2006)