A three-dimensional FDTD algorithm in curvilinear coordinates (EM scattering)
A three-dimensional FDTD algorithm in curvilinear coordinates (EM scattering)
复制标题
曲线坐标下的三维 FDTD 算法（EM 散射）
DOI：
10.1109/8.97377
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发表时间：
1991
影响因子：
5.7
通讯作者：
L. Gordon
中科院分区：
文献类型：
--
作者：
M. Fusco;Mary V. Smith;L. Gordon
求解电磁散射问题的时域有限差分（FDTD）算法是在三维广义数值坐标系下提出的，并以球坐标表示的最低阶baylis - turkel辐射边界条件的代码实现。结果表明，该算法能够准确地跟踪电磁辐射脉冲通过公转体生成的曲线网格的进程，仅在旋转轴附近出现问题，表示坐标奇点。给出并讨论了处理奇异线的一种简单方法，并证明，至少对于试验问题，这种近似是充分的。所讨论的算法适用于求解形状和电成分复杂的导体和介电体存在的外部问题，以及诸如腔穿透问题等近场问题。远场是用包围所有源的虚拟表面代替散射体得到的。>
The finite-difference time-domain (FDTD) algorithm for the solution of electromagnetic scattering problems is formulated in numerically defined generalized coordinates in three dimensions and implemented in a code with the lowest order Bayliss-Turkel radiation boundary condition expressed in spherical coordinates. It is shown that the algorithm is capable of accurately tracking the progress of a pulse of electromagnetic radiation through the curvilinear mesh generated by a body of revolution, the only problems occurring in the vicinity of the rotation axis, which represents a coordinate singularity. A simple method to deal with this singular line is presented and discussed, and its is shown that, at least for the test problem, this approximation is sufficient. The algorithm discussed is useful for the solution of the exterior problem in the presence of conductors and dielectrics with complicated shapes and electrical compositions, and for near-field problems such as cavity penetration problems. The far fields are obtained by replacing the scatterer with a virtual surface enclosing all sources. >