ИСТИНА

The possibility of polarization singularities generation in self-focusing of an initially homogeneously elliptically polarized Gaussian light beam in cubic medium without spatial or frequency dispersion is shown by numerical simulations. In the case of axial symmetry of incident beam’s intensity profile the generation of C-lines is possible in separate planes, perpendicular to the beam axis. The lines have the shape of circumference and we have shown a single line generation; the closer the polarization state of initial beam is to the circular, the closer to the medium border the line is. If the axial symmetry of the incident beam intensity profile is broken then there is a domain of propagation coordinate, in which two pairs of C-points exist and their total topological charge is 0. The growth of asymmetry parameter of the beam leads to the expansion of this domain. The presence of small amplitude noise in the incident beam does not principally influence the dynamics of formation and propagation of the C-points.