Propagation of Partially Coherent Twisted Anisotropic Gaussian-Schell Model Beams in Spatial-Frequency Domain

The generalized Collins formula for partially coherent beams through axially non-symmetrical optical systems in the spatial-frequency domain is derived by means of the tensor method. Based on this formula, the tensor ABCD law in the spatial-frequency domain for partially coherent twisted anisotropic Gaussian-Schell model (GSM) beams is derived, which governs the transformation of the twisted anisotropic GSM beams in spatial-frequency domain. An application example is provided.