基于微扰理论 ,推导出由偏小球引起球形谐振腔的共振频率偏移的表达式 ,研究了球形谐振腔的各种几何参数与共振频率偏移量之间的关系曲线 .结果表明 :当模式较低并且为同心球时 ,或者当小球的方位角θ0 =0或θ0 =π时 ,共振频率变化比较明显 ,而且球形谐振腔的共振频率与小球的大小成正比 ,与球形谐振腔大小成反比 Based on the perturbation theory, the expression of resonance frequency shift caused by the spherical ball is deduced, and the relationship between the geometrical parameters of spherical resonator and the resonance frequency offset is studied. The results show that when When the mode is low and concentric, or when the ball angle θ0 = 0 or θ0 = π, the resonant frequency changes more obviously, and the resonant frequency of the spherical resonator is proportional to the size of the ball, and spherical cavity Inversely proportional to size