We study the nonclassical properties of radiation in a unique exactly
soluble three-mode cavity QED model, in which two channels exist for a
tomic transitions. The atom-field interaction is the analog of Raman s
cattering, and the three modes can be associated with pump, Stokes, an
d anti-Stokes frequencies. By computing the correlation functions for
the ''total field'' and the two-photon number correlation functions fo
r certain initial states under various phase-shifted conditions, we de
termine the time evolution of certain statistical properties of the fi
eld. The three-mode P-function of tle field is also computed.