Spectral and temporal properties of spatially and spectrally partially coherent Gaussian Schell-model pulsed beams in free space

The spectral and temporal properties of two-dimensional spatially and spectrally partially coherent Gaussian Schell-model pulsed(GSMP) beams propagating in free space are studied and analyzed numerically. It is shown that the spectral shift takes place, which depends on the position of the field point, spatial correlation length and the temporal coherence length, as GSMP beams propagate in free space. The on-axis spectrum is blue-shifted, and the relative spectral shift increases with increasing propagation distance, and decreases as the spatial correlation length and temporal coherence length increase, and then approaches an asymptotic value. The off-axis spectrum is blue-shifted or red-shifted, depending on the spatial correlation length and temporal coherence length. The temporal intens