Unwound vortex beam shaping

A beam shaping method based on the superposition and unwinding of vortex beams is proposed. This method allows for the continuous tuning of the orbital angular momentum content and longitudinal intensity distribution of the beam. We provide with a closed expression for the orbital angular momentum content of a general superposition of vortex beams and find its relation to the functional parameters of the beams. We compare our theoretical predictions with experimental results with excellent fidelity.