Processes of the formation of directed optical vortices of a low-mode
fiber are studied experimentally and theoretically The state of the fi
eld of a directed optical vortex is shown to be characterized by two q
uantum numbers: the spirality (direction of circulation of field polar
ization) sigma(z) and the topological charge l. There are two types of
optical vortices in low-mode fibers: stable and unstable. The states
(+1, +1) and (-1, -1) correspond to stable vortices, the states (+1, -
1) and (-1, +1) correspond to unstable vortices. Periodic variations o
f the sign of the topological charge l and the direction sigma(z) are
observed in the process of propagation of an unstable vortex. Vortex f
ields are represented in terms of physically observable circularly pol
arized wave combinations. It is found that small perturbations of the
state of polarization of a stable vortex do not result in its destruct
ion or conversion into an unstable vortex. It is found that a stable v
ortex has two components of the energy flux of the Poynting vector: P-
z directed along the axis and the azimuth P-phi circulating about the
fiber axis. In the process of propagation of a stable vortex, the dire
ction of circulation of P-phi does not vary and depends only on the si
gn of the topological charge. In an unstable vortex, periodic variatio
n of the direction of circulation of P-phi is observed.