矩量法的一般波端口电磁建模方法

Electromagnetic modeling of general waveports with the method of moments

针对矩量法中非规则截面波端口的电磁建模问题,提出了一种基于高阶基函数矩量法的一般波端口建模方法。基于等效原理和模式匹配法建立了波端口表面积分方程,并利用二维有限元法对非规则波端口的模式进行高精度数值分析,将矩量法的规则波端口模型拓展为可用于规则及非规则波端口建模的一般波端口模型。在此基础上,使用定义于双线性曲面四边形单元的高阶基函数取代传统低阶基函数,减少了矩量法矩阵的未知量,显著降低了算法的内存需求和计算时间。通过数值算例对方法进行测试,与有限元法的数值结果进行对比,验证了方法的正确性;与低阶矩量法的数值结果对比,验证了方法的高效性。结果表明,该方法进行一般波端口模型建模仿真具有高效率和高数值精度的特点。

For the problems of electromagnetic modeling of waveports with irregular cross-sections by the integral equation method,a general waveport modeling method based on the higher-order method of moments is proposed.We establish the waveport surface integral equations based on the equivalence principle and the mode matching(MM)method.Additionally,we utilize the two-dimensional finite element method(2-D FEM)to accurately analyze the modes of irregular waveports,thereby extending the modeling capability of the MoM from the regular waveport model to a general waveport model suitable for both regular and irregular waveports modeling,on the basis of which the adoption of the higher-order basis functions defined on quadrilateral elements instead of lower-order basis functions reduces the unknown of the MoM,thus significantly reducing the memory requirements and computation time.The proposed method is tested through numerical examples,and the comparison of the tested results with the numerical results of the FEM verifies the correctness of the proposed method,and the comparison with RWG-MoM verifies the efficiency.Numerical results show that the proposed method has the advantages of high efficiency and high numerical accuracy for the general waveport modeling.