两类噪声对光学双稳系统性质的影响

Effects of Two Kinds of Noises on Stationary Properties of an Optical Bistable System

利用斯特拉托诺维奇近似得到关联函数C(s)表达式的基础上,分析高斯噪声和非高斯噪声对系统性质的影响。结果表明:①C(s)随非高斯噪声参数Q的增大出现峰值,表明随Q的增大,输出x的涨落的衰减先慢后快;②高斯噪声强度D较小时,C(s)随D的增大而增大,但D超过一定数值时,C(s)不再随D的增大而变化;③C(s)随自关联时间τ的增大出现极大值,且关联强度λ越小,该极大值越明显;④λ取值较小时,C(s)随非高斯噪声参数q的增大而增大,λ取值较大时,C(s)随q的增大而减小,表明由于λ的取值不同,q既可以延缓也可以加快x涨落的消退。

Using Stratonovich approximate, the effects of non - Gaussian and Gaussian noises on the correlation function C（s） of an optical bistable system is investigated. It is found： （1） There exists a peak in the curve of C（s） versus non -Gaussian noise parameter Q, this means the decay rate of x fluctuation slow firstly, and then fast with increasing Q. （2） As Gaussian noise intensity D has small values, C （s） increases with increasing D, and C（s） has no changes with increasing D as D has large values. （3） C（s） has a maximum with increasing self- correlation time T, and the smaller correlation intensity A, the more obvious C（s） maximum. （4） As correlation intensity A has small values, C（s） increases with increasing non - Gaussian parameter q, and C（ s ） decreases with increasing q as A has large values, namely, the parameter q can either accelerate or delay the fluctuation decay of x for different A values.