Abstract
The generalized diffraction integral formulae for partially coherent beams through misaligned optical systems are derived in both spatial and spatial-frequency domain. Based on these formulae, the analytical propagation formulae for partially coherent twisted anisotropic Gaussian–Schell model (GSM) beams through misaligned optical systems are derived. The derived formulae provide a powerful and convenient tool for treating the propagation and transformation of partially coherent twisted anisotropic GSM beams through misaligned optical systems in spatial domain and spatial-frequency domain. As an application example, the intensity distribution properties of partially coherent twisted GSM beams through a misaligned thin lens are studied.
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