  Radiation from a chaotic cavity filled with gain medium is considered. A set
of coupled equations describing the photon density and the population of gain
medium is proposed and solved. The spectral distribution and fluctuations of
the radiation are found. The full noise is a result of a competition between
positive correlations of photons with equal frequencies (due to stimulated
emission and chaotic scattering) which increase fluctuations, and a suppression
due to interaction with a gain medium which leads to negative correlations
between photons. The latter effect is responsible for a pronounced suppression
of the photonic noise as compared to the linear theory predictions.
