Abstract
A transverse-longitudinal cross-spectral density matrix of partially coherent electromagnetic beams was proposed, and polarization singularities of random partially coherent electromagnetic beams can be applied to study with this cross-spectral density matrix. Take random partially coherent electromagnetic beams in atmospheric turbulence as an example, polarization singularities are studied in this paper. The numerical calculation show that the atmospheric turbulence can speed up the evolution process of polarization singularities of partially coherent electromagnetic beams.
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