Gori F, Santarsiero M
Opt Lett. 2015 Apr 1;40(7):1587-90. doi: 10.1364/OL.40.001587.
We show that twisted Gaussian Schell-model (TGSM) beams can be represented through an incoherent superposition of partially coherent beams carrying optical vortices and whose cross-spectral densities are expressed in terms of modified Bessel functions. Moreover, starting from this result, we show that the modal expansion of the cross-spectral density of a TGSM source can be directly obtained through simple mathematics.