Research Initiation Award: A Three-Dimensional Finite Element Scheme for the Analysis of Electromagnetic Fields in an Unbounded Region

利用二维有限 单元电磁模型， 模拟电气 双散射特性 导波结构 变得司空见惯，因为 开发强大而廉价的 电脑 不幸的是很多 几何形状无法准确地 二维模型。 的 从二维到三维 在计算上是昂贵的 分析复杂。 一 传统有限元 配方导致虚假 三个维度的解决方案。 在 此外，矢量性质的 字段使网格任务 截断非常困难。 的 “bymoment”方法已经证明了自己 是一种有效的技术， 网格截断 三维有限元 溶液 相信很多 它的优点可以转化为 到三维空间 在这 项目的“bymoment”方法将 扩展到解决 电磁散射 三维复杂物体 这种技术的发展 将为许多人提供解决方案 目前解决的问题 通过近似技术。 在 此外，发展一个 三维方案可以导致 涉及导波的应用 结构.

The use of two dimensional finite element electromagnetic models to simulate the electrical characteristic of both scattering and guided wave structures has become commonplace due to the development of powerful and cheap computers. Unfortunately, many geometries cannot be accurately modeled in two dimensions. The step from two the three dimensions is both computationally expensive and analytically complex. A traditional finite element formulation results in spurious solutions in three dimensions. In addition, the vector nature of the fields makes the task of grid truncation very difficult. The "bymoment" method has shown itself to be an efficient technique for grid truncation in a two dimensional finite element solution. It is believed that many of its advantages can be translated to three dimensions. In this project the "bymoment" method will be extended to solve the problem of electromagnetic scattering from three dimensional complex objects. The development of such a technique will provide solutions for many problems which are currently solved by approximate techniques. In addition, the development of a three dimensional scheme can lead to applications for guided wave structures.