非对称单脊波导的特性计算

Characteristic calculation of unsymmetrical ridged waveguide

从矢量波函数空间的偏微分算子理论出发,给出完备的旋量波函数空间的本征函数系及电磁波基本方程组,由此推导出数学形式简洁的并矢格林函数及基于旋量波算子空间本征函数系的电磁场量,在脊波导的耦合边界上模式匹配,推导出计算公式,给出了两个分析脊波导的实例,得到主模和第一个高阶模的截止频率,非对称脊波导的电中心线偏移量。

Dyadic Green functions are expressed by the eigenfunction series of the rotational wave function space, and the electromagnetic field in a ridged waveguide are solved by the eigenfunction series through mode matching on the coupling boundary. The formulas of calculating eigenvalue of unsymmetrical ridged waveguide, the cut-off frequcencies, and the offset of the electric center line of the main mode are presented. The method can be used for solving complicated shaped waveguides and cavities system, the condition of that the divergence of the fields equals to zero is automatically satisfied which guaranty there is no false mode in the high precision solution.