Propagation characteristics of the ten-parameter family of partially coherent general anisotropic Gaussian Schell-model (AGSM) beams passing through first-order optical systems

Based on the closed property of AGSM beams under the action of first-order optical systems, the explicit transformation and twist expressions for the principal axes of intensity distribution, transverse coherence distribution and the principal curvatures of phase front in the cross-spectral density function of AGSM beams are derived. For typical applications, for AGSM beam s passing through free space, the twist and variation regularities of the p rincipal axes and the principal curvatures are analysed in detail. The twis t-free conditions are discussed and the twist influenced by the physical pa rameters of the incident beam analysed. It is shown from the analysis that the principal curvatures of phase front are not zero at the reference plane s where any of the corresponding principal axes of the beam spot obtains it s minimum, and the conditions where the principal curvatures are zero is di scussed.