Relation between vectorial source structure and coherence-polarization of light

A relation between vectorial source structure and coherence-polarization of the fluctuating field is established. This relation connects the source structure to the degree of coherence by Fourier relation, and this is extension of the van Cittert-Zernike theorem to the vectorial regime. Experimental verification of the proposed theorem is presented by making use of space averages as replacement of ensemble averages for Gaussian stochastic field. Both experimental and analytical results are obtained for different polarized sources, and good agreements between two justify use of space average as replacement of ensemble average in the spatially fluctuating field.

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