Optically assisted electrical generation of umbilic defects,
arising
in homeotropically aligned nematic liquid crystal cells and known
as topological templates for the generation of optical vortices, are
reported in nematic liquid crystals with positive dielectric anisotropy
in detail. It is shown that nematic liquid crystals with positive
dielectric anisotropy can serve as a stable and efficient medium for
the optical vortex generation from both linearly and circularly polarized
input Gaussian beams. Hybrid cells made from a thin layer of nematic
liquid crystal confined between a photoresponsive slab of iron-doped
lithium niobate and a glass plate coated with an active material,
i.e., indium tin oxide, were studied. Exposure to a laser beam locally
induces a photovoltaic field in the iron-doped lithium niobate substrate,
which can penetrate into the liquid crystal film and induce realignment
of molecules. The photovoltaic field drives charge carrier accumulation
at the interface of indium tin oxide with the liquid crystal, which
effectively modifies the shape and symmetry of the electric field.
The photovoltaic field has a continuous radial distribution in the
transverse xy-plane, weakening with increasing distance
from the light irradiation center, where the electric field is normal
to the cell plane. Umbilics are created as a result of the liquid
crystal tendency to realign parallel to the electric field. Numerical
studies of the transmitted intensity profiles in between linear polarizers
reveal optical vortex pattern (of four and eight brushes) characteristics
for the umbilical defects. The application of crossed circular polarizers
results in annular-shaped intensity patterns as a result of spin-to-orbital
angular momentum conversions, which give rise to the optical vortices.