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Van Cittert–Zernike theorem and symmetry properties of the normalized cross-spectral density matrix

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Abstract

The van Cittert–Zernike theorem is formulated for the normalized cross-spectral density matrix of fields emitted by spatially incoherent sources. This formulation shows that sources with homogeneous polarization characteristics at second-order lead in the far field to normalized cross-spectral density matrices that possess high-symmetry properties. These symmetry properties are lost with polarization inhomogeneities of the source. These results are illustrated with ring-shaped sources.

© 2014 Optical Society of America

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