A single-mode laser with coupling between additive and multiplicative noise terms is investigated when themultiplicative noise and the coupling between two noise terms are colored fluctuations with finite correlation times T_1 andT_2.Combining the unified colored noise approximation(UCNA)and the functional analysis,the stationary probabilitydistribution(SPD)and the variance of the laser intensity is derived.It is found that the colored nature of multiplicativenoise and the coupling strength between two noise terms can affect both the structure and the height of the SPD,whilethe colored nature of the coupling between two noise terms can only affect the height of the SPD.The multiplicative noisecan enhance the intensity fluctuations while the additive noise can reduce the fluctuations in a laser system.Numericalsimulations are presented and consistent to the analytical results.
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