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并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，原则上可以解决这些问题，但对于涉及宽带和复杂几何形状的大型问题，没有一种技术是有效和准确的。根据这笔赠款，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。基于时间域积分方程组(TDIE)，AMBLE将克服过去TDIE方法的稳定性和准确性困难，使用非因果、带限时间基函数和旨在恢复因果关系的带限外推技术的新组合。AMBLE将应用于运动介质、介质介质、层状介质、色散介质和降维问题，并扩展到使用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，该虚拟实验室将用于特拉华大学的电磁学课程，并用于推广到高中生和美国女童子军。

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.