单模染料激光的一种新模型和类一级相变

A New Model for Single-Mode Dye-Laser and the Quasi-First-Order Phase Transition

本文提出了一种描述单模染料激光光强随机变化的新模型,该模型考虑了“饱和项”的色噪声、自发辐射量子色噪声项(即ξ_1I^2和ξ_2I^(1/2))以及外来强制项的影响,运用有效FPE方法,得到了该模型的有效FPE及光强定态几率分布P_st(I).考虑稳定性条件和几率收敛条件,分析了P_st(I)的全部可能类型,得出P_st(I)在时间反演下出现双峰等新结论.

A new model for the single-mode dye-laser is proposed. This model contains the actions caused by the saturatio term and spontaneously emitted quantum colored noise term. Using the 'effective FPE' method proposed by the second author, we have been able to obtain the effective FPE and the steady-state probability density Pst(I) of the model. All categories in Pst(I) have been investigated with the stability condition and probability convergence condition taken into consideration. Several new results concerning the model have been obtained.