Helical Mathieu and parabolic localized pulses.
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.
Davila-Rodriguez
Josue
J
Photonics and Mathematical Optics Group, Tecnológico de Monterrey, Monterrey, México 64849.
Gutiérrez-Vega
Julio C
JC