Eigen oscillations of anisotropic sphere

In this paper, a quasiTE and quasiTM oscillations in anisotropic sphere resonator placed into isotropic medium is studied. The researched set of Maxwell equations were adduced to the solution of two coupling differential equations inside a sphere. The theoretical analysis was made for the small anisotropic parameter. The approximate solution of this system was obtained. We have obtained dispersion equation, which defines the frequencies of resonant oscillations. The influence of anisotropy upon their spectral characteristics was studied.