Changes in the polarization and coherence of a stochastic electromagnetic vortex beam propagating through a misaligned optical system with aperture

An analytical expression for the elements of the cross-spectral density matrix of a stochastic electromagnetic vortex beam passing through a misaligned optical system with aperture is derived. Some analyses are illustrated by numerical examples relating to changes in the spectral degree of polarization and the spectral degree of coherence for a stochastic electromagnetic vortex beam passing through such an optical system. It was found that the topological charge, the radius of the aperture and the displacement have different influences on the changes in the spectral degree of polarization and the spectral degree of coherence.