title: Higher-order complex source for elegant Laguerre-Gaussian waves.
abstract: We introduce a higher-order complex source that generates elegant Laguerre-Gaussian waves with radial mode number n and angular mode number m. We derive the integral and differential representations for the elegant Laguerre-Gaussian wave that in the appropriate limit yields the corresponding elegant Laguerre-Gaussian beam. From the spectral representation of the elegant Lauguerre-Gaussian wave we determine the first three orders of nonparaxial corrections for the corresponding paraxial elegant Laguerre-Gaussian beam.
authors.affiliation: Photonics and Mathematical Optics Group, Tecnológico de Monterrey, Monterrey, México. mbandres@grad.physics.sunysb.edu
authors.forename: Miguel A
authors.initials: MA
authors.lastname: Bandres
authors.forename: Julio C
authors.initials: JC
authors.lastname: Gutiérrez-Vega