Three techniques are applied for the resolution of the time-domain electric field integral equation (TD-EFIE) for a thin wire antenna based on the well-known time-domain method of moments. Three temporal bases are used to approximate the unknown temporal variation. The first is derived from Dirac functions, the second from B-spline functions, and the third from Laguerre functions. Piecewise triangular functions are used for the spatial expansion and testing function for the wire structure using Galerkin’s method. The aim is to compare these three techniques in terms of their formulation, complexity, and accuracy. Numerical results are presented to identify which time technique is best suited to solve such transient electromagnetic problems.

中文翻译：

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时域矩量法（TD-MoM）的三个时基函数的比较

基于众所周知的矩时域方法，将三种技术应用于细线天线的时域电场积分方程（TD-EFIE）的求解。使用三个时基来近似未知的时间变化。第一个是从Dirac函数派生的，第二个是从B样条函数派生的，第三个是从Laguerre函数派生的。使用Galerkin方法将分段三角函数用于导线结构的空间扩展和测试函数。目的是比较这三种技术的形式，复杂性和准确性。给出了数值结果，以确定哪种时间技术最适合解决此类瞬态电磁问题。