title: Helical Mathieu and parabolic localized pulses.
abstract: Using suitable polychromatic superpositions of helical Mathieu and parabolic nondiffracting beams, we study for the first time, to the best of our knowledge, the higher-order helical Mathieu X waves and the traveling and stationary parabolic X waves. The mathematical and physical properties of these new kinds of localized pulses are discussed.
authors.affiliation: Photonics and Mathematical Optics Group, Tecnológico de Monterrey, Monterrey, México 64849.
authors.forename: Josue
authors.initials: J
authors.lastname: Davila-Rodriguez
authors.forename: Julio C
authors.initials: JC
authors.lastname: Gutiérrez-Vega