Manipulating intensity and phase distribution of composite Laguerre-Gaussian beams

We propose a method to manipulate the intensity and phase distributions of a beam with non-zero orbital angular momentum (OAM). We investigate the superposition of coherent consecutive OAM modes, with concordant topological charges values, showing that it is possible to predict and control the phase and the radial and angular dimension of the resulting beam by acting on the number of superposed modes (N) and on their minimum value of the OAM (mmin). A general analysis from the Wigner function formalism is adopted for the geometric characterization of the beam.