本文应用线性化稳定性分析方法,对用半经典的麦克斯韦-布赫(Maxwell-Bloch)方程描述的多光子光学双稳性进行了复振幅分析.分析的结果表明:在对极化量进行绝热消除后,多光子光学双稳性特性曲线上合作支和单原子支不存在失稳问题,同时说明由软模不稳定性引起的多光子光学双稳性的混沌态不存在,并指出稳定性的第三个条件是双稳性存在的条件.

In this paper, the theory of linear stability analysis is used in analyzing the complex amplitude of vibration of multi-photon optical bistability which was described by semiolassical Maxwell-Blooh equations. The results of analysis show that after the adiabatio elimination being acted to atomic polarization there is no instability on cooperation branch and one single branch of multi-photon optical bistability characteristic, showing that there is no chaos of multi-photon optical bistability which was caused by the instability of the soft mode at the same time. It has been indicated that the third condition of stability is related to bistable characteristic of umlti-photon optical bistability.