Discusses the topological charge of an optical vortex is equal to
the number of screw dislocations or the number of phase
singularities in the beam cross-section Presents a single approach
based on the M. Berry formula Describes the topological competition
between different optical vortices in a superposition Demonstrates
the stability of the topological charge to random phase distortions
and insensitivity to amplitude distortions Contains many numerical
examples, which clearly show how the phase of optical vortices
changes during propagation in free space and the topological charge
is preserved
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