平行板多层介质径向波导的本征模

The eigenmodes for parallel-plate with multilayer multilayer dielectric radial waveguide

对平行板多层介质径向波导 (径向均匀 )进行分析是采用径向模式匹配法分析介质加载圆柱腔的基础 .从理论上首先采用了赫兹矢量法分析了平行板多层介质径向波导TEZ 模和TMZ 模的场分布 ,然后利用Sturm Lowville本征值理论讨论了本征模横向矢量场的正交完备性 .

The expressions of axial and radial eigen functions of TE Z and TM Z modes were obtained by solving the wave equation about the Hertz vector. Based on that, the field distributions of eigen modes were achieved. The orthogonal relations of the axial eigen functions were found on the basis of Sturm Lowville′s eigenvalue theory. And the orthogonal and complete properties of transverse vector fields were discussed.