  We consider optical beams with topological singularities which possess
Schmidt decomposition and show that such classical beams share many features of
two mode entanglement in quantum optics. We demonstrate the coherence
properties of such beams through the violations of Bell inequality for
continuous variables using the Wigner function. This violation is a consequence
of correlations between the $(x, p_x)$ and $(y, p_y)$ spaces which
mathematically play the same role as nonlocality in quantum mechanics. The Bell
violation for the LG beams is shown to increase with higher orbital angular
momenta $l$ of the vortex beam. This increase is reminiscent of enhancement of
nonlocality for many particle Greenberger-Horne-Zeilinger states or for higher
spins. The states with large $l$ can be easily produced using spatial light
modulators.
