单模光学双稳系统的不稳定区整体分布及分岔与混沌

本文根据半经典Maxwell-Bloch方程单模光学双稳系统的稳定性判据,在Δ-θ参数平面上描绘该系统不稳定区的整体分布(这里Δ和θ分别正比于原子与腔相对输入场的失谐度)。在已知的不稳定区中,具体讨论了系统的分岔与混沌性质。在双稳曲线的上、下支上同时发现混沌现象,找到了与稳定定态解共存的新的非定态解。 关键词：

UNSTABLE REGION AND BIFURCATIONS AND CHAOS IN SINGLE-MODE BISTABLE OPTICAL SYSTEMS

Based on the instability criterion of semi-classical Maxwell -Bloch equations of single-mode optical systems, the global distribution of instability region is depicted in △-θ parameter space (△ detuning of the atoms, θ mistuning of the cavity). In the instability region predicted, various bifurcations and chaos are disclosed. We find that chaos may appear in both upper and lower branches of one bistable curve Moreover, a new time-dependent solution coexisting with the stable stationary solution is found.