导体瞬态电磁散射问题的时域磁场积分方程解法

ransient electromagnetic (EM) scattering by conductors is formulated by time-domain magnetic field integral equation (TDMFIE). The TDMFIE is important because the time-domain combined field integral equation involves it and also it appears in the time-domain integral equations of penetrable media as an operator. The TDMFIE is usually solved by combining the method of moments (MoM) in spatial domain and a march-on in time (MOT) scheme in temporal domain. This paper proposes a different approach in which a Nystr"{o}m scheme is used in spatial domain while a Galerkin method (GM) with Laguerre basis and testing functions is employed in temporal domain. The approach includes the merits of Nystr"{o}m scheme in spatial domain and also fully eliminates the late-time instability of the MOT. Moreover, the Laguerre basis function can naturally enforce the causality of signals and the GM can simplify the time-domain implementation. Numerical examples for transient EM scattering by typically-shaped conductors are presented to illustrate the approach and its robustness has been demonstrated.