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对方同轴线中TM波的FDM(Finite Difference Method)全波算法进行了研究,推导了方同轴线TM波在临界和传播状态下各个电磁分量的全波计算公式,得到了传播状态与临界状态场分量之间的关系式,简化了对传播状态场分量计算,利用Yee氏网格单元对各电磁场分量进行有限差分,采用Matlab编程得到了TM波两个最低模式的色散与电磁场分布情况,与亥姆霍兹法、CST仿真计算结果进行了比较,三者结果均一致,并且研究了网格精度和不同内导体边长对截止频率的影响。全波算法是所有电磁分量参与计算,具有一次求解得到所有电磁场分量、计算速度快的优点,此法同样适用于方同轴线中其它模式的求解,也能求解其它类型传输线中模式的色散特性和电磁场分布问题,具有推广应用的潜力。
The full-wave FDM (Finite Difference Method) algorithm for the TM wave in the coaxial line of the other side is studied. The full-wave formula of each electromagnetic component of the TM-axis in the critical and propagation states is deduced. The propagation state and the critical The relationship between the components of the state field is simplified, the calculation of the component of the propagation state field is simplified, the finite difference of the electromagnetic field component is made by using Yee’s grid element, the dispersion and the electromagnetic field distribution of the two lowest modes of the TM wave are obtained by Matlab programming, Compared with the Helmholtz method and CST simulation results, the results of the three methods are consistent, and the influence of grid precision and different length of inner conductor on the cutoff frequency is studied. Full-wave algorithm is to participate in the calculation of all electromagnetic components, with a solution of all the electromagnetic field component, the advantages of fast calculation, this method is also applicable to other modes in the same side of the axis of the solution, but also for other types of transmission line mode dispersion characteristics And electromagnetic field distribution, with the potential to promote the use.