详细分析了一般周期性谐振腔的稳定性，发现对一每周期合ｍ根激光棒的Ｎ周期谐振腔，共存在ｍ个稳定区，并在每一稳定区内存在（Ｎ—１）个奇异点，在这些奇异点处，谐振腔处于介稳状态，对失周期性很敏感；另外，还讨论了周期性谐振腔的热稳条件问题。 The stability of a general periodic resonant cavity is analyzed in detail. It is found that there exist a total of m stable regions for N-period resonant cavities with m laser rods per cycle, and there are (N-1) singularities in each stable region At these singular points, the resonator is in metastable state and sensitive to loss-of-cycle. In addition, the problem of the thermal stability of the periodic resonator is also discussed.