In this paper, we have developed a system of Time Domain Electric Field Integral Equation (TD-EFIE) for the resolution of a scattering electromagnetic problem by various shapes illuminated by an incident transient wave. The solvability of the TD-EFIE system is based on the Time Domain Method of Moments (TD-MoM) using Galerkin's method in space and time domains. In time domain, a linear combination of Laguerre functions is used as temporal basis functions. In order to approximate the unknown space variation of the transient current, we develop a novel space hybrid basis functions derived from the Rao-Wilton-Glisson function. The elaborated hybrid mesh technique using hexagonal and triangular mesh is applied for various analyzed structures: regular grid for planar structures and irregular grid for curved structures. The validity, the efficiency and the precision of developed meshing techniques are presented and discussed.

在本文中，我们开发了时域电场积分方程（TD-EFIE）系统，用于通过入射瞬态波照射的各种形状来解决电磁散射问题。TD-EFIE系统的可解性基于时域矩量法（TD-MoM），在时域和时域均采用Galerkin方法。在时域中，拉盖尔函数的线性组合用作时间基础函数。为了估算瞬态电流的未知空间变化，我们开发了一种从Rao-Wilton-Glisson函数派生的新型空间混合基函数。使用六边形和三角形网格的精细混合网格技术可应用于各种分析结构：平面结构的规则网格和曲线结构的不规则网格。有效性