The statistical properties of a homogeneously broadened ring laser with an
injected signal are investigated and the normalized two-mode intensity auto
- and cross-correlation functions are calculated by a full saturation laser
theory with backscattering. The theoretical predictions are in good agreem
ent with the experimental measurements. Further investigation reveals that
the backscattering can reduce the fluctuations in the system while the full
saturation effect plays a major role when the laser is operated above thre
shold. It is also quite important to notice that the injected signal can dr
ive the weak mode from incoherent Light to coherent light.