In this paper we consider the application of recently suggested experimental techniques for diagnostics of phase singularities in scalar and vector combined optical fields, in part in the cases when conventional interferometric techniques are not applicable or possess restricted applicability. Such situation takes place, for example, in cases of partially coherent inhomogeneously polarized combined beams assembled from mutually incoherent Hermite-Gaussian modes. Meanwhile, not only new experimental techniques are introduced, but new singularities, missed in complete coherent fields, arise.
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