We show experimentally how diffracting and nondiffracting laser beams can be characterized through their one-dimensional constituent wave. Such a wave stems from an angular decomposition applicable to any cylindrically symmetric laser beam. In our experiment, spatial filtering in a 4-f system is used to generate the constituent wave of each beam under study. Standard one-dimensional root-mean-square (rms) parameters, such as the propagation factor and the generalized Rayleigh range, are then applied to determine the regime of propagation of the beams to characterize.
Rousseau, G., Gay, D., & Piché, M. (2005). Characterization of the constituent wave of a diffracting and a nondiffracting axisymmetric laser beam. Optics Express, 13(19), 7589-7598. https://doi.org/10.1364/OPEX.13.007589 (Original work published 2005)