title: Can the radial number of vortex modes control the orbital angular momentum?
abstract: In general, a standard Laguerre–Gauss (LG) beam, whose state is given by two quantum numbers (n, 𝓁): the radial number n and the azimuthal number 𝓁 (or the topological charge (TС) of the vortex carried by the LG beam), is unstable with respect to weak perturbations. This is not difficult to see if we decompose the complex amplitude of the LG beam in terms of Hermite–Gauss modes (HG), with the total number of HG modes being equal to N = 2n +𝓁 + 1. If we now slightly change the amplitudes and phas
journal: Computer Optics