Erden, M. F.Özaktaş, Haldun M.Mendlovic, D.2015-07-282015-07-2819960740-3232http://hdl.handle.net/11693/10796The propagation of mutual intensity through quadratic graded-index media or free space can be expressed in terms of two-dimensional fractional Fourier transforms for one-dimensional systems and in terms of fourdimensional fractional Fourier transforms for two-dimensional systems. As light propagates, its mutual intensity distribution is continually fractional Fourier transformed. These results can also be generalized to arbitrary first-order optical systems. Furthermore, the Wigner distribution associated with a partially coherent field rotates in the same manner as the Wigner distribution associated with a deterministic field.EnglishDiffractionFourier OpticsStatistical OpticsFractional Fourier TransformsMutual IntensityArticle10.1364/JOSAA.13.001068