Advanced Computational Research in Electromagnetic Wave Interactions

当代高频电磁工程问题 可能涉及全矢量波与复杂的， 超大型三维结构。 数值 对这种结构的麦克斯韦方程的模拟是非常重要的 重要性，因为经典的分析工具， 电动力学不能处理矢量近场 几乎是任意复杂的。 两个主要的当代推力在数值模拟 这些问题是：（1）频域积分微分 通过矩量法（MON）求解方程; 时域偏微分方程法 通过时域有限差分（FD-TD）求解 法 本研究计画将开发连接机 (CM)最新版本的FDTD和FD-TD软件，构造 相对于基于Cray的版本的基准测试，并开发扩展 超大型近场数据库CM处理规则。 该项目还将扩展新的空间分解（SD） 最新组合场曲面积分方程的技巧 的版本。 SD非常有希望减少 大规模问题的维数和病态，以及 可以允许现有的计算机处理非常大的EM模型。

Contemporary high-frequency electromagnetic engineering problems can involve full-vector wave interactions with complex, electrically-large, three-dimensional structures. Numerical simulation of Maxwell's equations for such structures is of great importance since the classical analytical tools for electrodynamics cannot deal with vector near fields that may be almost arbitrarily complex. Two of the primary contemporary thrusts in numerically modeling such problems are: (1) the frequency-domain integro-differential equation approach with solution via the method of moments (MON); and (2) the time-domain partial differential equation approach with solution via the finite-difference time-domain (FD-TD) method. This research project will develop Connection Machine (CM) software for the latest versions of MOM and FD-TD, construct benchmarks relative to Cray-based versions, and develop scaling rules for CM processing of ultra-large near-field data bases. This project will also extend a new spatial decomposition (SD) technique to the latest combined-field surface integral equation versions of MOM. SD is very promising for reducing the dimensionality and ill-conditioning of large MOM problems, and may permit existing computers to process very large EM models.