We give a comprehensive representation of the Wolf effect in propagati
on both in free space and after a lens for an outstanding class of par
tially coherent beams, namely Gaussian Schell-model beams, We characte
rize the correlation-induced spectral changes, throughout the whole sp
ace, by means of isoshift lines and transverse shift profiles, The max
imum value of the frequency blueshift, occurring on the optical axis,
is also calculated.