Abstract
The spectral shift of partially coherent twisted anisotropic Gaussian Schell-model (GSM) beams in free space is treated analytically by using the newly derived tensor ABCD law for partially coherent twisted anisotropic GSM beams. This representation generalizes the previous results for isotropic GSM beams into anisotropic and twisted cases. It can avoid numerical integral that is time consuming and commonly used in the previous study of spectral shift problems. The results show that the spectral shift of twisted anisotropic GSM beams is closely related with the degree of coherence, wavefront curvature and the twist factor. The spectral shift changes from blueshift to redshift with the increase of the transverse coordinate.
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