交叉色关联噪声驱动的单模激光系统统计性质研究

The statistical prosperities of single-mode laser system driven by colored cross-correlation noises

采用交叉色关联的加性色噪声和乘性色噪声驱动的单模激光立方模型,通过诺维科夫理论和福克斯近似以及斯特拉托诺维奇近似,得到反映激光统计性质的强度关联函数C的表达式;研究关联时间τ、净增益系数a0和交叉关联强度λ对强度关联函数C的影响.数值模拟发现,在阈值以上(a0>0)时,关联函数C随关联时间τ的增大而增大;在阈值以下(a0<0)时,关联函数C随关联时间τ的增大而减小.无论在阈值以上还是阈值以下,关联函数C均随交叉关联强度λ的增大而减小.在C-a0曲线上存在单峰.

Using a single-mode laser cubic model driven by additive colored noise and multiplicative colored noise,through theory of Novikov,Fox approximation and the approximation of Stratonovich,an expression of intensity correlation function C was reached at. The effects of the correlation time τ,the net gain a0 and the cross-correlation intensity λ on the intensity correlation function C was investigated. The result of numerical simulation shows that the intensity correlation function C increases with the correlation time τ for the net gain above the threshold （a0〉0）,but decreases as correlation time increases for the net gain below the threshold （a0〈0）. The intensity correlation function C decreases as cross-correlation λ intensity increases no matter the net gain is above or below the threshold. The curve of C versus a0 has a single peak.