Cross-polarization properties of two Gaussian Schell-model beams through non-Kolmogorov turbulence

General expressions are derived for the spectral degree of cross-polarization (SDCP) of a beam generated by the superposition of two Gaussian Schell-model (GSM) beams, which illuminated with the same Gaussian Schell-mode source propagating in non-Kolmogorov turbulent atmosphere by adopting beam cross-spectral density matrix and Young's interference theory. In particular, through numerical examples based on our analytical formal the SDCP of two GSM beams is analyzed. Detailed analysis demonstrate that the SDCP is closely to the spacing of two beams on source plane as well as the strength of the atmospheric turbulent, but the fractal constant α has no affect on the SDCP.

► We discuss the degree of cross-polarization of two Gaussian Schell-model beams propagating in turbulence.
► Degree of cross-polarization tends to same asymptotical values after sufficient distance.
► Degree of cross-polarization is strongly affected by the spacing of two beams.
► Fractal constant and the atmospheric turbulent strength effect the degree of cross-polarization were analyzed.