title: Fractionalization of optical beams: I. Planar analysis.
abstract: We apply the tools of the fractional calculus to introduce new fractional-order beam solutions to the paraxial wave equation that can be regarded as intermediate solutions between the known integral-order solutions. We restrict our attention to the fractionalization of the elegant and standard Hermite-Gaussian beams.
authors.affiliation: Photonics and Mathematical Optics Group, Tecnológico de Monterrey, Monterrey, México. juliocesar@itesm.mx
authors.forename: Julio C
authors.initials: JC
authors.lastname: Gutiérrez-Vega