High-order electromagnetic modeling of antenna systems

评估线天线系统的电磁响应是一个非常重要的问题，也是一个非常复杂的数学问题。在本文中提出的工作的目标，准确地说，是推进这一重要和具有挑战性的数学问题的理论和计算水平。具体地，我们建议：(1)发展位于天线结构上的源驱动直线天线的理论和数值处理；(2)将以前的理论和解算器(包括发射和接收情况)推广到曲线天线；(3)发展导线的高阶处理；以及(3)扩展以前的理论和解算器，使之能够求解任意数目的以任意角度相交的直线段或曲线段组成的天线。

The problem of evaluating the electromagnetic response of wire antenna systems is one of great import and significant mathematical complexity. The goal of the work proposed in this text is, precisely, to advance the theoretical and computational state of the art in this important and challenging mathematical problem. In detail, we propose to: (1) develop the theoretical and numerical treatment of the straight wire antenna driven by source located on the antenna structure; (2) extend the previous theory and solvers (both transmit and receive cases) to curved antennas; (3) develop high-order treatment of wires attached to conducting bodies; and (3) extend the previous theory and solvers to enable solution for antennas composed of arbitrary numbers of either straight or curved segments intersecting at arbitrary angles.