平方泵噪声驱动的单模激光立方模型及光强定态概率分布

Cubic model of a single-mode laser driven by quadratic pump noise and the steady probability distribution of laser intensity

合理地引入了平方泵噪声到单模激光的立方模型中.得到封闭的光强朗之万方程.基于作者早期关于非线性外噪声的近似福克-普朗克方程(AFPE)的工作,得到了光强概率分布的AFPE,求出了该AFPE的归一化定态概率分布的精确解析表达式,并根据表达式对泵噪声实部和虚部之间的关联系数λ的对称性,得出了若干关于系统定态统计性质的普遍结论.

A single-mode laser cubic model driven with quadratic pump noise is proposed. Closed laser intensity Langevin equation is got. Based on our early work of the Approximation Fokker-Planck equation （AFPE） for the systems driven by nonlinear external noise [Cao L and Wu D J 1988 Phys. Lett. A 133 476], the AFPE for laser intensity probability distribution is obtained. Exact analytic expression for the steady normalized intensity probability di parts of pump noise, several gene normalized intensity probability distribution is calculated. Based on the symmetry of steady stribution with respect to λ, the cross-correlation coefficient between the real and imaginary ral conclusions on the steady statistical property of laser system are reached.