色噪声对光学双稳态的影响

采用统一色噪声近似构建了由乘法色噪声驱动的纯吸收型光学双稳态状态方程,并分析了色噪声对光学双稳态的影响,将结果与白噪声驱动的光学双稳态进行比较.结果表明:当乘法噪声与加法噪声处在正关联时,增加乘法色噪声的自关联时间r,光学双稳性的区域显著变宽,即磁滞回线面积变大;当乘法噪声与加法噪声处在负关联时,只有乘法噪声较小时,改变乘法色噪声的自关联时间r,光学双稳态才发生改变;当乘法噪声的自相关时间等于零时,本文模型退化为乘法白噪声驱动的光学双稳性状态方程.

Effect of Colored Noise on Optical Bistable System

A state equation of absorptive optical bistable system driven by colored multiplicative noise was built by using the unified colored noise approximation.The results were discussed and compared with the system with white noise.The results show that,when the multiplicative noise and the additive noise are in positive correlation,the area of optical bistability broadens outstandingly,that also is the hysteresis cycle width is broaden with the increasing of self-correlation time r;whereas when the multiplicative noise and additive noise are in negative correlation,and only when the multiplicative noise strength is weak,the change of self-correlation time τ can induce the change of the area of optical bistability;when the self-correlation time r of multiplicative noise is equal zero,the model of the system with colored noise falls back to the model of the system with white noise.