Resonant modes in shielded uniaxial-anisotropic dielectric rod resonators
Resonant modes in shielded uniaxial-anisotropic dielectric rod resonators
复制标题
屏蔽单轴各向异性介质棒谐振器中的谐振模式
DOI：
10.1109/22.260706
复制
发表时间：
1993
影响因子：
4.3
通讯作者：
T. Senju
中科院分区：
文献类型：
--
作者：
Y. Kobayashi;T. Senju
采用模式匹配方法对介电杆谐振器进行了严格的场分析，包括放置在两个平行导电板之间或导电腔中的蓝宝石等单轴电介质。在柱坐标系下推导了单轴各向异性介质中E/sub Z/和H/sub Z/的波动方程。在此基础上，导出了两种谐振腔结构的特征方程，可用于计算任意谐振模式的谐振频率。讨论了平行板型谐振器谐振模式的截止条件。计算了两种谐振器的一些低阶模的谐振频率。给出了用于设计谐振器的模态图。验证了通常用于各向同性介质谐振器分析的模式匹配方法可以成功地应用于单轴介质谐振器。>
Rigorous field analysis by the mode-matching method is presented for dielectric rod resonators, including such uniaxial dielectrics as sapphire, which are placed between two parallel conducting plates or 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 the two resonator structures are derived and can be used to calculate the resonant frequencies of any resonant mode. Cutoff conditions of the resonant modes are discussed for parallel-plate-type resonators. Resonant frequencies of some lower order modes are calculated for both types of resonator. Mode charts useful for designing the 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. >