A Finite Difference Delay Modeling Approach to the Discretization of the Time Domain Integral Equations of Electromagnetics
A Finite Difference Delay Modeling Approach to the Discretization of the Time Domain Integral Equations of Electromagnetics
复制标题
DOI：
10.1109/tap.2008.926753
复制
发表时间：
2008-08
影响因子：
5.7
通讯作者：
Xiaobo Wang;R. Wildman;D. Weile;P. Monk
中科院分区：
文献类型：
--
作者：
Xiaobo Wang;R. Wildman;D. Weile;P. Monk
介绍了一种求解导体电磁散射时域积分方程的新方法。这种方法，称为有限差分延迟建模，似乎是完全稳定和准确的，当应用于任意结构。所使用的时间离散化是基于有限差分。具体地说，基于从拉普拉斯域到z变换域的映射，导出了一阶和二阶无条件稳定方法。空间收敛是使用高阶发散一致的矢量基地的格拉利亚等人。低频率不稳定性问题，避免了循环树分解方法。数值结果将说明该技术的准确性和稳定性。
A new method for solving the time-domain integral equations of electromagnetic scattering from conductors is introduced. This method, called finite difference delay modeling, appears to be completely stable and accurate when applied to arbitrary structures. The temporal discretization used is based on finite differences. Specifically, based on a mapping from the Laplace domain to the z-transform domain, first- and second-order unconditionally stable methods are derived. Spatial convergence is achieved using the higher-order divergence-conforming vector bases of Graglia et al. Low frequency instability problems are avoided with the loop-tree decomposition approach. Numerical results will illustrate the accuracy and stability of the technique.