Field analysis of shielded uniaxial-dielectric rod resonators

Rigorous field analysis by the mode matching method is presented for two dielectric rod resonators including such uniaxial dielectrics as sapphire, which is placed between two parallel conducting plates and in a conducting cavity. The wave equations for E/sub z/ and H/sub z/ in a uniaxial anisotropic dielectric medium are derived in a cylindrical coordinate system. Based on these wave equations, the characteristic equations for two resonator structures are derived to calculate the resonant frequencies of any resonant modes. Mode charts useful for identifying the resonant modes for sapphire rod resonators are presented. It is verified that the mode matching method used commonly for the analysis of isotropic-dielectric resonators can be applied successfully to uniaxial-dielectric resonators.<>