论文标题
分析用于计算介电的波导中静电场计算的数学技术
Analysis of mathematical techniques for the calculation of the electrostatic field in a dielectric-loaded waveguide
论文作者
论文摘要
绿色功能的分辨率是获得矩形波导介电层中的电荷产生的静电电势的分辨率,需要有效的整合技术。由于要集成的函数的特征和振荡性,因此FILON方法与收敛分析一起使用是足够的。但是,这种数值集成技术的应用可能会导致结果中的数值不稳定性。因此,在这项研究工作中,我们提出了两种不同的方法来处理这些集成的数值错误:SSA/MSSA和GPR。这样,就可以清洁静电电位,以避免静电场计算中后续误差。
The resolution of the Green's function for obtaining the electrostatic potential generated by the charges located in the dielectric layer of a rectangular waveguide requires efficient integration techniques. Due to the characteristics and the oscillatory nature of the function to be integrated, the use of the Filon's method together with a convergence analysis is adequate. However, the application of this numerical integration technique can lead to numerical instabilities in the result. For this reason, in this research work we have presented two different methods to deal with these numerical errors of integration: SSA/MSSA and GPR. In this way it is possible to clean the electrostatic potential avoiding subsequent errors in the calculation of the electrostatic field.