双光子光学多稳态理论

TWO-PHOTON OPTICAL MULTISTABILITY THEORY

本文系统地研究了双光子共振作用的光学多稳态理论。在平均场近似下求出的状态方程包含了动态斯塔克效应及弛豫时间参数。指出了在平均场近似下,F-P腔与单向环形腔的状态方程有基本相同的形式。分析了双光子光学多稳态的两种物理机构——克尔效应与饱和吸收效应。在一定条件下这两种效应的共同作用可导致双稳态、双双稳态及三稳态。进一步还给出了区分双稳态、双双稳态及三稳态的判别式。最后还研究了双光子四波混频位相复共轭反射率的双稳态及多稳态。

The theory of the optical multistability by two-photon resonant interaction is investigated. The nonlinear medium inside a Fabry-Perot cavity is in two-photon resonance with the laser beam. The two-photon equation of state including dynamical Stark shift and relaxation parameters is obtained and studied under mean-field approximation. The equations for both Fabry-Perot cavity and ring cavity take basically the same form. The physics mechanisms resulting in optical multistability are also studied. It has been shown that the combined effects of Kerr switching and saturation absorption switching can lead to two-photon optical double-bistability, tristability as well as bistability. Furthermore, the criterion conditions under which double-bistability or tristability can occur are given and discussed. Finally, the phase-conjugated reflectivity by two-photon four-wave mixing is also shown to exhibit multistability as well as hysteresis.