The full saturation effects of a two-mode ring laser with both additiv
e and multiplicative noise are investigated. An analytic expression fo
r the steady-state laser intensity distribution function is derived, T
he auto and cross correlation of the two-mode intensities are calculat
ed for equal pump parameters, Compared with third-order laser theory,
noticeable deviations occur between third-order and full saturation la
ser theories especially when the laser is operated above threshold or
when the cavity decay constant is small.