It is shown experimentally and theoretically that when an optical vortex pr
opagates in free space, its wavefront rotates through an angle numerically
equal to the Gouy phase. It is found that both the energy maximum of the op
tical vortex light flux and the amplitude zero of the perturbed optical vor
tex field propagate along the ray surface. It is shown that the ray surface
, which is a consequence of the relativistic constraints on the beam group
velocity, forms an unparted hyperboloid of revolution and has various prope
rties: 1) the circulation of the Poynting vector on the surface does not de
pend on the longitudinal coordinate z; 2) the evolution of the light flux a
nd a pure screw dislocation takes place along straight lines of this surfac
e; 3) the Poynting vector on the ray surface is always perpendicular to the
wavefront surface. (C) 1999 American Institute of Physics. [S1063-7850(99)
01603-1].