Propagation of spatial correlation vortices

The propagating four-dimensional mutual coherence function of a partially coherent Gaussian beam containing an arbitrarily positioned optical vortex is analytically determined. The dark intensity core becomes diffuse under low coherence and the vortex is only detectable by examining the cross-correlation function. This function contains a vortex dipole or a ring dislocation depending on the vortex position in the beam. The position of these robust propagating correlation phase singularities is described.

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