Optical beam with vortices: A first order paraxial analysis

We analyze different forms of light pulses with Orbital Angular Momentum based on two-index Hermite polynomials, their Poynting vector and angular momentum in paraxial propagation. We extend the analysis at first order in the paraxial approximation, calculating the transverse component of the Poynting vector and the longitudinal component of the angular momentum, which give the rotation of the energy flux around the vortices.