阶梯波导的传输矩阵研究  

Transmission Matrix Representation of Step Discontinuities

作　　者：宗卫华[1] 梁昌洪[2] 

机构地区：[1]青岛大学自动化工程学院,青岛266071 [2]西安电子科技大学天线与微波重点实验室,西安710071

出　　处：《微波学报》2005年第3期28-31,共4页Journal of Microwaves

基　　金：青岛大学引进人才科研启动经费(063-06300346);国家自然科学基金项目(69931030)

摘　　要：用模式匹配方法分析H面阶梯波导的TE模式,首先将各区域的场写为x函数矩阵与z函数矩阵以及本区域的场系数向量相乘的形式,然后对相邻区域的x函数矩阵进行加权积分得到矩阵形式的匹配方程组。不仅在表达形式上简洁紧凑,而且能够方便的推导出考虑高次凋落模的传输矩阵。通过传输矩阵求解场,未知数个数成倍减小,运算量显著降低。数值例子验证了方法的正确性。The mode-matching technique (MMT) is applied to analyze H-plane step discontinuities in rectangular waveguides. The fields in each region are described as a multiplication of an x matrix, a z matrix and a vector of the amplitudes of the individual region. By integrating the x matrices of the two adjacent regions with weight functions, the boundary conditions are transformed to linear equations. The transmission matrix considering higher order evanescent modes can be easily obtained with the formulation. When solving the electromagnetic fields by use of transmission matrix, the number of unknown coefficients reduces drastically. Numerical results are given to validate the formulation.

关 键 词：传输矩阵 波导 阶梯 函数矩阵 TE模式 匹配方法 系数向量 矩阵形式 加权积分 表达形式 方程组 未知数 运算量 正确性 H面 高次 

分 类 号：TN814[电子电信—信息与通信工程]