title: Hermite-Bessel beams and the geometrical representation of nondiffracting beams with orbital angular momentum.
abstract: We investigate theoretically and experimentally the decomposition of high-order Bessel beams in terms of a new family of nondiffracting beams, referred as Hermite-Bessel beams, which are solutions of the Helmholtz equation in Cartesian coordinates. Based on this decomposition we develop a geometrical representation of first-order Bessel beams, equivalent to the Poincaré sphere for the polarization states of light and implement an unitary transformation within our geometrical representation using linear optical elements.
authors.forename: W C
authors.initials: WC
authors.lastname: Soares
authors.forename: D P
authors.initials: DP
authors.lastname: Caetano
authors.forename: J M
authors.initials: JM
authors.lastname: Hickmann