Abstract
The Green Noise can be described by a set of coupled ODEs, and we come to realize that the noise comes from the coupling between different modes inside the cavity. After obtaining the polarization of the photons by calculating the eigenvector of Jones matrix of the cavity, we discovered that the coupling coefficient between modes could be g or (1-g). Previous papers had proposed different structures to reduce the noise by controlling the g factor. Here, by varying the saturation parameter β with time, we discovered that it is possible to reduce the noise mathematically. Therefore we believe it is possible to eliminate the noise by disturbing the gain competition.