Propagation properties of partially polarized, partially coherent vectorial cosh-Gaussian beams through bifocal lens

Based on the unified theory of coherence and polarization of electromagnetic beams, the expression for the cross-spectral density of partially polarized, partially coherent vectorial cosh-Gaussian(ChG) beams propagating through a bifocal lens is derived. The propagation of partially polarized, partially coherent vectorial Gaussian Schell-model(GSM) beams propagating through a bifocal lens and the propagation of partially polarized, partially coherent vectorial ChG beams propagating through a conventional lens can be treated as two special cases of our results. It is shown that the intensity, degree of polarization, spectral degree of coherence and focal shifts of focused vectrial ChG beams depend on the decentered parameter, correlation length, waist width and focal length.