CAREER: Accurate Marching by Band-Limited Extrapolation (AMBLE): The Missing Link of Computational Electromagnetics

分析和设计宽带无线系统以及控制电磁干扰的需求逐年增加。 虽然许多计算电磁学（CEM）技术已经存在，在原则上可以解决这些问题，没有一个是高效和准确的大问题，涉及宽带和复杂的几何形状。 根据这项资助，将创建一种新的CEM技术，称为带限外推精确行进（AMBLE），用于分析现代电磁设备，散射问题和电磁兼容性问题。 基于时域积分方程（TDIEs），AMBLE将克服过去的TDIE方法的稳定性和准确性的困难，使用一种新的组合的非因果性，带限的时间基函数和带限的外推技术，旨在恢复因果关系。 AMBLE将被应用于涉及移动介质，电介质，分层介质，色散介质和降维的问题，以及扩展到与Nystrom方法，而不是典型的Galerkin离散化。 由此产生的引擎将构成一个新的虚拟实验室的基础，该实验室将用于特拉华州大学的电磁学课程，并用于向高中生和美国女童子军推广。

0348109The need to analyze and design broadband wireless systems and control electromagnetic interference increases with each passing year. Though many computational electromagnetics (CEM) techniques already exist that in principle can tackle such problems, none is efficient and accurate for large problems involving broad bandwidths and complex geometries. Under this grant, a new CEM technique called accurate marching by band-limited extrapolation (AMBLE) will be created for the analysis of modern electromagnetic devices, scattering problems, and electromagnetic compatibility concerns. Based on time-domain integral equations (TDIEs), AMBLE will overcome the stability and accuracy difficulties of past TDIE approaches using a novel combination of noncausal, band-limited temporal basis functions and band-limited extrapolation techniques designed to recover causality. AMBLE will be applied to problems involving moving media, dielectric media, layered media, dispersive media, and reduced dimensionality, as well as extended to work with the Nystrom method instead of the typical Galerkin discretization. The resulting engine will form the basis of a new virtual laboratory to be used in the electromagnetics classes at the University of Delaware, and for outreach to high school students and the Girl Scouts of America.