Abstract
A single-mode laser with coupling between additive andmultiplicative noise terms is investigated when the multiplicativenoise and the coupling between two noise terms are coloredfluctuations with finite correlation times τ1 and τ2.Combining the unified colored noise approximation (UCNA) and thefunctional analysis, the stationary probability distribution (SPD)and the variance of the laser intensity is derived. It is foundthat the colored nature of multiplicative noise and the couplingstrength between two noise terms can affect both the structure andthe height of the SPD, while the colored nature of the couplingbetween two noise terms can only affect the height of the SPD. Themultiplicative noise can enhance the intensity fluctuations whilethe additive noise can reduce the fluctuations in a laser system.Numerical simulations are presented and consistent to theanalytical results.
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