  In the past few years, orbital angular momentum beams have contributed
significantly to many applications in the optical-related fields due to their
unique phase characteristics. Here, a novel approach about phase-helices
structure for Laguerre-Gaussian beams carrying orbital angular momentum is
presented. This proposal is based on numerical simulations to track the
rotation of each helix in the phase and shows an impact on the rotational speed
of the Laguerre-Gaussian phase distribution by using the characteristic of
distinguishability of each helix. If the helices in the phase of a vortex
cannot be distinguished, then the angular rotation speed of the phase
distribution can be seen as independent of the azimuthal index l, due to its
rotational symmetry, and it is called {\omega}indistinguishable. Oppositely,
when the helices are distinguished from each other, the rotational speed is
affected by this azimuthal index, and it becomes {\omega}distinguishable. This
distinguishable theory can build a pathway to applications in the field of
optical communications (as a coding system) and particle manipulation (changing
the dynamics of off-beam trapped particles).
